Thermal-Shock Fracture¤
Colab Setup (Install Dependencies)
# Only run this if we are in Google Colab
if 'google.colab' in str(get_ipython()):
print("Installing dependencies from pyproject.toml...")
# This installs the repo itself (and its dependencies)
!apt-get install gmsh
!apt-get install -qq xvfb libgl1-mesa-glx
!pip install pyvista -qq
!pip install -q "git+https://github.com/smec-ethz/tatva-docs.git"
print("Installation complete!")
In this example, we demonstrate the power of the energy-centric approach by simulating a complex multiphysics problem: Thermal Shock Fracture where we will use Phase-field approach to simulate fracture process.
A hot ceramic plate (\(T_{initial} = 500^\circ C\)) is suddenly submerged in a cold bath (\(T_{boundary} = 0^\circ C\)) . The rapid cooling creates tensile stresses on the surface, causing cracks to initiate and propagate inward.
The Physics (3-Way Coupling):
- Thermal: Heat diffusion (potentially degraded by cracks).
- Mechanical: Thermal contraction creates stress; Stiffness is degraded by damage.
- Phase-Field: Damage evolves to minimize the stored elastic energy and surface energy.
The total energy functional is:
\[
\Psi(u, T, d) = \Psi_\text{elastic}(u, T, d) + \Psi_\text{fracture}(d) + \Psi_\text{thermal}(T, d)
\]
Where the elastic energy is degraded by the damage variable \(d\):
\[
\Psi_\text{elastic} = \int_\Omega \left( (1-d)^2 + \eta \right) \Psi^+_0(\boldsymbol{\epsilon}) \, d\Omega
\]
And the fracture energy follows the standard AT2 regularization:
\[
\Psi_\text{fracture} = G_c \int_\Omega \left( \frac{d^2}{2l_0} + \frac{l_0}{2} |\nabla d|^2 \right) \, d\Omega
\]
This complex coupling is handled automatically by the Tatva engine.
import jax
jax.config.update("jax_enable_x64", True)
from typing import NamedTuple
import equinox as eqx
import gmsh
import jax.numpy as jnp
import matplotlib.pyplot as plt
import meshio
import numpy as np
from jax import Array
from jax_autovmap import autovmap
from tatva import Mesh, Operator, element
Model Setup¤
We generate a fine, uniform mesh for a rectangular ceramic strip. The mesh size must be smaller than the phase field length scale \(l_0\).
Generate a strip mesh using gmsh
def generate_strip_mesh(width: float, height: float, mesh_size: float):
import os
mesh_dir = os.path.join(os.getcwd(), "../meshes")
os.makedirs(mesh_dir, exist_ok=True)
output_filename = os.path.join(mesh_dir, "strip_fine.msh")
gmsh.initialize()
gmsh.model.add("strip")
p1 = gmsh.model.geo.addPoint(0, 0, 0, mesh_size)
p2 = gmsh.model.geo.addPoint(width, 0, 0, mesh_size)
p3 = gmsh.model.geo.addPoint(width, height, 0, mesh_size)
p4 = gmsh.model.geo.addPoint(0, height, 0, mesh_size)
l1 = gmsh.model.geo.addLine(p1, p2)
l2 = gmsh.model.geo.addLine(p2, p3)
l3 = gmsh.model.geo.addLine(p3, p4)
l4 = gmsh.model.geo.addLine(p4, p1)
loop = gmsh.model.geo.addCurveLoop([l1, l2, l3, l4])
surface = gmsh.model.geo.addPlaneSurface([loop])
gmsh.model.geo.synchronize()
gmsh.model.addPhysicalGroup(2, [surface], 1, name="domain")
# Boundary groups
gmsh.model.addPhysicalGroup(1, [l1, l2, l3, l4], 2, name="boundaries")
gmsh.model.mesh.generate(2)
gmsh.write(output_filename)
gmsh.finalize()
_mesh = meshio.read(output_filename)
mesh = Mesh(coords=_mesh.points[:, :2], elements=_mesh.cells_dict["triangle"])
return mesh
L = 50 # Length mm
H = 4.9 # Height mm
l0 = 0.2 # 0.2 # Length scale parameter
h_mesh = l0 / 2.0 # Mesh size must be approx l0/2
mesh = generate_strip_mesh(width=L, height=H, mesh_size=h_mesh)
n_nodes = mesh.coords.shape[0]
print(f"Number of nodes: {n_nodes}")
plt.figure(figsize=(5, 5))
ax = plt.axes()
ax.tripcolor(
*mesh.coords.T,
mesh.elements,
facecolors=jnp.zeros(mesh.elements.shape[0]),
edgecolors="k",
lw=0.1,
cmap="managua_r",
)
ax.axhline(0, color="k", lw=0.4)
ax.set_aspect("equal")
ax.margins(0.0, 0.0)
plt.show()
Info : Meshing 1D...
Info : [ 0%] Meshing curve 1 (Line)
Info : [ 30%] Meshing curve 2 (Line)
Info : [ 60%] Meshing curve 3 (Line)
Info : [ 80%] Meshing curve 4 (Line)
Info : Done meshing 1D (Wall 0.000743599s, CPU 0.000928s)
Info : Meshing 2D...
Info : Meshing surface 1 (Plane, Frontal-Delaunay)
Info : Done meshing 2D (Wall 0.891818s, CPU 0.880898s)
Info : 29077 nodes 58156 elements
Info : Writing '/home/pundir/Documents/research-notes/tatva-examples/examples/../meshes/strip_fine.msh'...
Info : Done writing '/home/pundir/Documents/research-notes/tatva-examples/examples/../meshes/strip_fine.msh'
Number of nodes: 29077
class Material(NamedTuple):
E: float = 340e3 # Young's modulus (N/mm2)
nu: float = 0.2 # Poisson's ratio
alpha: float = 8e-6 # Thermal expansion (1/K)
kappa: float = 300 # Thermal conductivity
Gc: float = 0.042 # Critical energy release rate (Fracture toughness N/m)
l0: float = l0 # Phase field length scale
mat = Material()
mu = mat.E / (2 * (1 + mat.nu))
lmbda = mat.E * mat.nu / ((1 + mat.nu) * (1 - 2 * mat.nu))
Energy Functionals¤
This is the core of the energy-centric approach. We define densities for Elasticity, Thermal, and Fracture.
Coupled Elastic Energy¤
Strain energy is driven by thermal contraction and degraded by damage:
\[
\psi_{el} = ((1-d)^2 + \eta) \cdot \frac{1}{2} \boldsymbol{\epsilon}_{el} : \mathbb{C} : \boldsymbol{\epsilon}_{el}
\]
where \(\boldsymbol{\epsilon}_{el} = \boldsymbol{\epsilon}_{total} - \alpha \Delta T \mathbf{I}\).
@autovmap(eps=2, mu=0, lmbda=0)
def compute_stress(eps: Array, mu: float, lmbda: float) -> Array:
"""Compute the stress tensor from the strain tensor."""
I = jnp.eye(2)
return 2 * mu * eps + lmbda * jnp.trace(eps) * I
@autovmap(eps=2, mu=0, lmbda=0)
def strain_energy(eps: Array, mu: float, lmbda: float) -> Array:
"""Compute the strain energy density."""
sig = compute_stress(eps, mu, lmbda)
return 0.5 * jnp.einsum("ij,ij->", sig, eps)
@autovmap(grad_u=2, theta_quad=0, mu=0, lmbda=0, alpha=0)
def compute_elastic_energy_density(
grad_u: Array, theta_quad: Array, mu: float, lmbda: float, alpha: float
) -> Array:
"""Computes the tensile part of the strain energy (driven by thermal contraction)."""
# Total Strain
eps_total = 0.5 * (grad_u + grad_u.T)
# Thermal Strain (Isotropic expansion/contraction)
eps_thermal = alpha * theta_quad * jnp.eye(2)
# Elastic Strain
eps_el = eps_total - eps_thermal
tr_eps = jnp.trace(eps_el)
tr_plus = jnp.maximum(tr_eps, 0.0) # macalay_bracket_plus(tr_eps)
tr_minus = jnp.minimum(tr_eps, 0.0) # macalay_bracket_minus(tr_eps)
# Volumetric/deviatoric split
dim = eps_el.shape[0]
eps_vol = (tr_eps / dim) * jnp.eye(2)
eps_dev = eps_el - eps_vol
K = lmbda + 2 * mu / dim # Bulk modulus
# Volumetric and deviatoric strain energy densities
psi_vol = 0.5 * K * tr_plus**2 + mu * jnp.einsum("ij,ij->", eps_dev, eps_dev)
psi_dev = 0.5 * K * tr_minus**2
return psi_vol, psi_dev
Fracture Energy (Phase Field)¤
The geometric resistance to cracking.
\[
\underbrace{\int_\Omega \Gamma \left[ \frac{(d-1)^2}{2l_0} + \frac{l_0}{2} |\nabla d|^2 \right] ~ \mathrm{d\Omega}}_{\text{Fracture Surface Energy}}
\]
We employ a "History Field" strategy. Damage is irreversible; it should only grow. A common way to handle this in phase-field is to drive damage by the maximum historical strain energy (\(\mathcal{H}\)).
\[ \Psi_d = \int_\Omega \left( [(1-d)^2 + \eta] \mathcal{H} + \psi_{frac} \right) d\Omega \]
@autovmap(d=0)
def degradation_function(d: Array) -> Array:
"""Degradation function g(d) = (1-d)^2 + small_residual"""
return (1.0 - d) ** 2 + 1e-6
@autovmap(d=0, grad_d=1, Gc=0, l0=0)
def fracture_energy_density(d: Array, grad_d: Array, Gc: float, l0: float) -> Array:
"""Griffith energy approximation."""
w_d = (d**2) / (2 * l0)
w_grad = (l0 / 2.0) * jnp.dot(grad_d, grad_d)
return Gc * (w_d + w_grad)
Thermal Problem (Simple Transient Heat Equation)¤
We treat Thermal as a simple linear step for this demo (Backward Euler)
\[
\underbrace{\int_\Omega \frac{1}{2}\Delta t (T^{t}-T^{t-1})^2~\mathrm{d\Omega} + \int_\Omega \kappa \nabla T\cdot\nabla T~\mathrm{d\Omega}}_{\text{Transient Heat Potential}, \Psi_{\mathrm{th}}}
\]
@autovmap(grad_theta=1, kappa=0)
def thermal_energy_density(grad_theta: Array, kappa: float) -> Array:
"""compute_thermal energy_density
Args:
grad_theta (Array): gradient of temperature field
kappa (float): thermal conductivity
Returns:
Array: thermal energy density
"""
return 0.5 * kappa * jnp.einsum("i, i->", grad_theta, grad_theta)
Total Energy for each physical process¤
We will now define the energy functional for each process. Since all the 3 process are happening int he same domain, we can define a sinle Operator.
tri = element.Tri3()
op = Operator(mesh, tri)
First, we start with defining the total potential for thermal process. Here we define the temporal evolution.
@jax.jit
def total_thermal_energy(theta_new, theta_old, dt):
theta_new_quad = op.eval(theta_new)
theta_old_quad = op.eval(theta_old)
grad_theta = op.grad(theta_new)
diff_term = thermal_energy_density(grad_theta, mat.kappa)
inertial_term = (0.5 / dt) * (theta_new_quad - theta_old_quad) ** 2
return op.integrate(diff_term + inertial_term)
Next, we define the fracture and deformation total energies under quasi-static assumption.
@jax.jit
def total_damage_energy(d_flat: Array, history_field_quad: Array) -> Array:
"""
Minimizing this w.r.t 'd' solves the Phase Field evolution.
Args:
d_flat: Nodal damage values
history_field_quad: Max historical strain energy at quadrature points
"""
grad_d = op.grad(d_flat)
d_quad = op.eval(d_flat)
g_d = degradation_function(d_quad)
strain_energy_comp = op.integrate(g_d * history_field_quad)
fracture_dens = fracture_energy_density(d_quad, grad_d, mat.Gc, mat.l0)
fracture_energy_comp = op.integrate(fracture_dens)
return strain_energy_comp + fracture_energy_comp
@jax.jit
def total_strain_energy(
u_flat: Array, theta_flat: Array, theta_ref: Array, d_flat: Array
) -> Array:
"""
Minimizing this w.r.t 'u' solves Mechanical Equilibrium.
"""
u = u_flat.reshape(-1, 2)
grad_u = op.grad(u)
theta_quad = op.eval(theta_flat)
delta_theta = theta_quad - theta_ref
d_quad = op.eval(d_flat)
# Compute undegraded elastic energy density
psi_plus, psi_minus = compute_elastic_energy_density(
grad_u, delta_theta, mu, lmbda, mat.alpha
)
g_d = degradation_function(d_quad)
return op.integrate(g_d * psi_plus + psi_minus)
Matrix-Free Solvers Setup¤
We define our gradients (residuals) and tangent operators. Note the simplicity: we just ask JAX to differentiate the potentials. We use a projected conjugate gradient to apply the Diriechlet boundary conditions.
grad_thermal = jax.jacrev(total_thermal_energy, argnums=0)
grad_mechanical = jax.jacrev(total_strain_energy, argnums=0)
grad_damage = jax.jacrev(total_damage_energy, argnums=0)
@eqx.filter_jit
def compute_tangent(dx, u_prev, gradient, fixed_dofs):
"""Generic Tangent Vector Product for any physics"""
dx_proj = dx.at[fixed_dofs].set(0)
tangent = jax.jvp(gradient, (u_prev,), (dx_proj,))[1]
return tangent.at[fixed_dofs].set(0)
Newton-Krylov solver
@eqx.filter_jit
def conjugate_gradient(A, b, atol=1e-8, max_iter=100):
iiter = 0
def body_fun(state):
b, p, r, rsold, x, iiter = state
Ap = A(p)
alpha = rsold / jnp.vdot(p, Ap)
x = x + jnp.dot(alpha, p)
r = r - jnp.dot(alpha, Ap)
rsnew = jnp.vdot(r, r)
p = r + (rsnew / rsold) * p
rsold = rsnew
iiter = iiter + 1
return (b, p, r, rsold, x, iiter)
def cond_fun(state):
b, p, r, rsold, x, iiter = state
return jnp.logical_and(jnp.sqrt(rsold) > atol, iiter < max_iter)
x = jnp.full_like(b, fill_value=0.0)
r = b - A(x)
p = r
rsold = jnp.vdot(r, p)
b, p, r, rsold, x, iiter = jax.lax.while_loop(
cond_fun, body_fun, (b, p, r, rsold, x, iiter)
)
return x, iiter
def newton_krylov_solver(
u,
fext,
gradient,
compute_tangent,
fixed_dofs,
tol: float = 1e-8,
):
fint = gradient(u)
iiter = 0
norm_res = 1.0
max_iter = 80
while norm_res > tol and iiter < max_iter:
residual = fext - fint
residual = residual.at[fixed_dofs].set(0)
A = eqx.Partial(
compute_tangent, u_prev=u, gradient=gradient, fixed_dofs=fixed_dofs
)
du, cg_iiter = conjugate_gradient(A=A, b=residual, atol=1e-8, max_iter=1000)
u = u.at[:].add(du)
fint = gradient(u)
residual = fext - fint
residual = residual.at[fixed_dofs].set(0)
norm_res = jnp.linalg.norm(residual)
iiter += 1
jax.debug.print(
" Newton Iteration {iiter}, Residual Norm: {norm_res:.3e}",
iiter=iiter,
norm_res=norm_res,
)
return u, norm_res
Applying boundary conditions¤
x_min = jnp.min(mesh.coords[:, 0])
x_max = jnp.max(mesh.coords[:, 0])
y_min = jnp.min(mesh.coords[:, 1])
y_max = jnp.max(mesh.coords[:, 1])
eps_geo = 1e-5
bnd_nodes = jnp.where(
(mesh.coords[:, 0] < eps_geo)
| (mesh.coords[:, 0] > L - eps_geo)
| (mesh.coords[:, 1] < eps_geo)
| (mesh.coords[:, 1] > H - eps_geo)
)[0]
left_nodes = jnp.where(mesh.coords[:, 0] == x_min)[0]
bottom_nodes = jnp.where(mesh.coords[:, 1] == y_min)[0]
top_nodes = jnp.where(mesh.coords[:, 1] == y_max)[0]
right_nodes = jnp.where(mesh.coords[:, 0] == x_max)[0]
Simulation Loop: The Staggered Solver¤
We implement a robust staggered scheme for Thermal Shock:
- Initialize: \(T = 500\), \(d = 0\).
- Apply BC: Boundary \(T = 0\).
- Time Loop:
- Step A (Thermal): Solve heat diffusion.
- Step B (Coupling): Compute strain energy \(\Psi_0(u, T)\) and update History \(\mathcal{H} = \max(\mathcal{H}, \Psi_0)\).
- Step C (Phase Field): Solve for \(d\) using \(\mathcal{H}\).
- Step D (Mechanical): Solve for \(u\) using new \(T\) and \(d\).
u_sol = jnp.zeros(n_nodes * 2)
d_sol = jnp.zeros(n_nodes)
theta_sol = jnp.ones(n_nodes) * T_initial
fext_u = jnp.zeros_like(u_sol)
fext_d = jnp.zeros_like(d_sol)
fext_th = jnp.zeros_like(theta_sol)
fixed_dofs_th = jnp.concatenate([left_nodes, bottom_nodes]) # bnd_nodes
fixed_vals_th = jnp.full(len(fixed_dofs_th), 300) # Cold bath
fixed_dofs_u = jnp.concatenate([2 * top_nodes + 1, 2 * right_nodes])
fixed_dofs_d = jnp.array([], dtype=int)
u_reshaped = u_sol.reshape(-1, 2)
grad_u = op.grad(u_reshaped)
theta_quad = op.eval(theta_sol)
theta_quad_ref = op.eval(theta_sol)
delta_theta = theta_quad - theta_quad_ref
psi_plus, psi_minus = compute_elastic_energy_density(
grad_u, delta_theta, mu, lmbda, mat.alpha
)
history_field = psi_plus # Start with initial elastic energy
dt = 1e-5
n_time_steps = 300
results_u = []
results_d = []
results_T = []
print(f"Starting Simulation with {n_nodes} nodes...")
for step in range(1, n_time_steps + 1):
print(f"--- Time Step {step} ---")
theta_sol = theta_sol.at[fixed_dofs_th].set(fixed_vals_th)
grad_fn_th = eqx.Partial(grad_thermal, theta_old=theta_sol, dt=dt)
theta_sol, norm_T = newton_krylov_solver(
theta_sol,
fext=fext_th,
gradient=grad_fn_th,
compute_tangent=compute_tangent,
fixed_dofs=fixed_dofs_th,
tol=1e-7,
)
for stag in range(1):
u_reshaped = u_sol.reshape(-1, 2)
grad_u = op.grad(u_reshaped)
theta_quad = op.eval(theta_sol)
delta_theta = theta_quad - theta_quad_ref
psi_plus_current, psi_minus_current = compute_elastic_energy_density(
grad_u, delta_theta, mu, lmbda, mat.alpha
)
history_field = jnp.maximum(history_field, psi_plus_current)
# Solve Phase Field
grad_fn_d = eqx.Partial(grad_damage, history_field_quad=history_field)
d_sol, norm_d = newton_krylov_solver(
d_sol,
fext=fext_d,
gradient=grad_fn_d,
compute_tangent=compute_tangent,
fixed_dofs=fixed_dofs_d,
)
# Solve Mechanical
grad_fn_u = eqx.Partial(
grad_mechanical,
theta_flat=theta_sol,
theta_ref=theta_quad_ref,
d_flat=d_sol,
)
u_sol, norm_u = newton_krylov_solver(
u_sol,
fext=fext_u,
gradient=grad_fn_u,
compute_tangent=compute_tangent,
fixed_dofs=fixed_dofs_u,
)
print(f" Iter {stag}: Res_d={norm_d:.2e}, Res_u={norm_u:.2e}")
results_u.append(u_sol)
results_d.append(d_sol)
results_T.append(theta_sol)
Output
Starting Simulation with 29077 nodes...
--- Time Step 1 ---
Newton Iteration 1, Residual Norm: 7.534e-09
Newton Iteration 1, Residual Norm: 8.811e-09
Newton Iteration 1, Residual Norm: 2.628e+00
Newton Iteration 2, Residual Norm: 9.845e-02
Newton Iteration 3, Residual Norm: 1.830e-04
Newton Iteration 4, Residual Norm: 9.949e-09
Iter 0: Res_d=8.81e-09, Res_u=9.95e-09
--- Time Step 2 ---
Newton Iteration 1, Residual Norm: 9.717e-09
Newton Iteration 1, Residual Norm: 7.276e-09
Newton Iteration 1, Residual Norm: 2.461e+00
Newton Iteration 2, Residual Norm: 6.174e-02
Newton Iteration 3, Residual Norm: 1.400e-03
Newton Iteration 4, Residual Norm: 9.950e-09
Iter 0: Res_d=7.28e-09, Res_u=9.95e-09
--- Time Step 3 ---
Newton Iteration 1, Residual Norm: 7.273e-09
Newton Iteration 1, Residual Norm: 7.093e-09
Newton Iteration 1, Residual Norm: 2.698e+00
Newton Iteration 2, Residual Norm: 4.024e-02
Newton Iteration 3, Residual Norm: 7.229e-08
Newton Iteration 4, Residual Norm: 9.886e-09
Iter 0: Res_d=7.09e-09, Res_u=9.89e-09
--- Time Step 4 ---
Newton Iteration 1, Residual Norm: 6.295e-09
Newton Iteration 1, Residual Norm: 7.360e-09
Newton Iteration 1, Residual Norm: 2.560e+00
Newton Iteration 2, Residual Norm: 7.019e-03
Newton Iteration 3, Residual Norm: 1.604e-08
Newton Iteration 4, Residual Norm: 9.891e-09
Iter 0: Res_d=7.36e-09, Res_u=9.89e-09
--- Time Step 5 ---
Newton Iteration 1, Residual Norm: 1.125e-08
Newton Iteration 1, Residual Norm: 7.035e-09
Newton Iteration 1, Residual Norm: 2.486e+00
Newton Iteration 2, Residual Norm: 7.051e-02
Newton Iteration 3, Residual Norm: 1.267e-07
Newton Iteration 4, Residual Norm: 9.808e-09
Iter 0: Res_d=7.03e-09, Res_u=9.81e-09
--- Time Step 6 ---
Newton Iteration 1, Residual Norm: 9.629e-09
Newton Iteration 1, Residual Norm: 9.520e-09
Newton Iteration 1, Residual Norm: 2.519e+00
Newton Iteration 2, Residual Norm: 1.183e-02
Newton Iteration 3, Residual Norm: 9.985e-09
Iter 0: Res_d=9.52e-09, Res_u=9.99e-09
--- Time Step 7 ---
Newton Iteration 1, Residual Norm: 8.810e-09
Newton Iteration 1, Residual Norm: 8.982e-09
Newton Iteration 1, Residual Norm: 2.355e+00
Newton Iteration 2, Residual Norm: 4.398e-02
Newton Iteration 3, Residual Norm: 3.317e-08
Newton Iteration 4, Residual Norm: 9.928e-09
Iter 0: Res_d=8.98e-09, Res_u=9.93e-09
--- Time Step 8 ---
Newton Iteration 1, Residual Norm: 8.340e-09
Newton Iteration 1, Residual Norm: 8.461e-09
Newton Iteration 1, Residual Norm: 2.191e+00
Newton Iteration 2, Residual Norm: 3.990e-02
Newton Iteration 3, Residual Norm: 5.867e-08
Newton Iteration 4, Residual Norm: 9.918e-09
Iter 0: Res_d=8.46e-09, Res_u=9.92e-09
--- Time Step 9 ---
Newton Iteration 1, Residual Norm: 8.168e-09
Newton Iteration 1, Residual Norm: 7.962e-09
Newton Iteration 1, Residual Norm: 2.128e+00
Newton Iteration 2, Residual Norm: 2.300e-03
Newton Iteration 3, Residual Norm: 1.308e-08
Newton Iteration 4, Residual Norm: 9.263e-09
Iter 0: Res_d=7.96e-09, Res_u=9.26e-09
--- Time Step 10 ---
Newton Iteration 1, Residual Norm: 7.843e-09
Newton Iteration 1, Residual Norm: 7.491e-09
Newton Iteration 1, Residual Norm: 2.117e+00
Newton Iteration 2, Residual Norm: 1.578e-05
Newton Iteration 3, Residual Norm: 9.608e-09
Iter 0: Res_d=7.49e-09, Res_u=9.61e-09
--- Time Step 11 ---
Newton Iteration 1, Residual Norm: 7.555e-09
Newton Iteration 1, Residual Norm: 7.055e-09
Newton Iteration 1, Residual Norm: 2.272e+00
Newton Iteration 2, Residual Norm: 5.456e-02
Newton Iteration 3, Residual Norm: 1.349e-07
Newton Iteration 4, Residual Norm: 9.966e-09
Iter 0: Res_d=7.05e-09, Res_u=9.97e-09
--- Time Step 12 ---
Newton Iteration 1, Residual Norm: 7.382e-09
Newton Iteration 1, Residual Norm: 9.620e-09
Newton Iteration 1, Residual Norm: 2.146e+00
Newton Iteration 2, Residual Norm: 1.023e-03
Newton Iteration 3, Residual Norm: 9.963e-09
Iter 0: Res_d=9.62e-09, Res_u=9.96e-09
--- Time Step 13 ---
Newton Iteration 1, Residual Norm: 7.400e-09
Newton Iteration 1, Residual Norm: 9.063e-09
Newton Iteration 1, Residual Norm: 1.995e+00
Newton Iteration 2, Residual Norm: 8.497e-03
Newton Iteration 3, Residual Norm: 4.222e-08
Newton Iteration 4, Residual Norm: 9.893e-09
Iter 0: Res_d=9.06e-09, Res_u=9.89e-09
--- Time Step 14 ---
Newton Iteration 1, Residual Norm: 7.354e-09
Newton Iteration 1, Residual Norm: 8.571e-09
Newton Iteration 1, Residual Norm: 1.934e+00
Newton Iteration 2, Residual Norm: 1.452e-05
Newton Iteration 3, Residual Norm: 9.718e-09
Iter 0: Res_d=8.57e-09, Res_u=9.72e-09
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Newton Iteration 1, Residual Norm: 7.176e-09
Newton Iteration 1, Residual Norm: 8.130e-09
Newton Iteration 1, Residual Norm: 1.830e+00
Newton Iteration 2, Residual Norm: 1.456e-05
Newton Iteration 3, Residual Norm: 9.604e-09
Iter 0: Res_d=8.13e-09, Res_u=9.60e-09
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Newton Iteration 1, Residual Norm: 7.138e-09
Newton Iteration 1, Residual Norm: 7.738e-09
Newton Iteration 1, Residual Norm: 1.672e+00
Newton Iteration 2, Residual Norm: 3.576e-02
Newton Iteration 3, Residual Norm: 9.868e-09
Iter 0: Res_d=7.74e-09, Res_u=9.87e-09
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Newton Iteration 1, Residual Norm: 7.264e-09
Newton Iteration 1, Residual Norm: 7.383e-09
Newton Iteration 1, Residual Norm: 1.583e+00
Newton Iteration 2, Residual Norm: 9.864e-03
Newton Iteration 3, Residual Norm: 3.459e-08
Newton Iteration 4, Residual Norm: 9.830e-09
Iter 0: Res_d=7.38e-09, Res_u=9.83e-09
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Newton Iteration 1, Residual Norm: 1.196e-08
Newton Iteration 1, Residual Norm: 7.063e-09
Newton Iteration 1, Residual Norm: 1.472e+00
Newton Iteration 2, Residual Norm: 1.365e-02
Newton Iteration 3, Residual Norm: 2.201e-08
Newton Iteration 4, Residual Norm: 9.965e-09
Iter 0: Res_d=7.06e-09, Res_u=9.97e-09
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Newton Iteration 1, Residual Norm: 1.142e-08
Newton Iteration 1, Residual Norm: 6.778e-09
Newton Iteration 1, Residual Norm: 1.324e+00
Newton Iteration 2, Residual Norm: 9.998e-06
Newton Iteration 3, Residual Norm: 9.871e-09
Iter 0: Res_d=6.78e-09, Res_u=9.87e-09
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Newton Iteration 1, Residual Norm: 1.104e-08
Newton Iteration 1, Residual Norm: 9.657e-09
Newton Iteration 1, Residual Norm: 1.355e+00
Newton Iteration 2, Residual Norm: 3.874e-02
Newton Iteration 3, Residual Norm: 7.203e-08
Newton Iteration 4, Residual Norm: 9.848e-09
Iter 0: Res_d=9.66e-09, Res_u=9.85e-09
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Newton Iteration 1, Residual Norm: 1.079e-08
Newton Iteration 1, Residual Norm: 9.303e-09
Newton Iteration 1, Residual Norm: 1.238e+00
Newton Iteration 2, Residual Norm: 4.336e-02
Newton Iteration 3, Residual Norm: 1.105e-07
Newton Iteration 4, Residual Norm: 9.839e-09
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Newton Iteration 1, Residual Norm: 1.041e-08
Newton Iteration 1, Residual Norm: 8.978e-09
Newton Iteration 1, Residual Norm: 1.132e+00
Newton Iteration 2, Residual Norm: 3.589e-03
Newton Iteration 3, Residual Norm: 1.795e-08
Newton Iteration 4, Residual Norm: 9.901e-09
Iter 0: Res_d=8.98e-09, Res_u=9.90e-09
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Newton Iteration 1, Residual Norm: 1.004e-08
Newton Iteration 1, Residual Norm: 8.678e-09
Newton Iteration 1, Residual Norm: 1.066e+00
Newton Iteration 2, Residual Norm: 1.481e-02
Newton Iteration 3, Residual Norm: 2.966e-08
Newton Iteration 4, Residual Norm: 9.872e-09
Iter 0: Res_d=8.68e-09, Res_u=9.87e-09
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Newton Iteration 1, Residual Norm: 9.876e-09
Newton Iteration 1, Residual Norm: 8.409e-09
Newton Iteration 1, Residual Norm: 1.141e+00
Newton Iteration 2, Residual Norm: 5.067e-03
Newton Iteration 3, Residual Norm: 2.777e-08
Newton Iteration 4, Residual Norm: 9.916e-09
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Newton Iteration 1, Residual Norm: 9.656e-09
Newton Iteration 1, Residual Norm: 8.168e-09
Newton Iteration 1, Residual Norm: 1.285e+00
Newton Iteration 2, Residual Norm: 3.608e-02
Newton Iteration 3, Residual Norm: 8.784e-08
Newton Iteration 4, Residual Norm: 9.945e-09
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Newton Iteration 1, Residual Norm: 9.570e-09
Newton Iteration 1, Residual Norm: 7.955e-09
Newton Iteration 1, Residual Norm: 1.247e+00
Newton Iteration 2, Residual Norm: 8.309e-03
Newton Iteration 3, Residual Norm: 2.384e-08
Newton Iteration 4, Residual Norm: 9.826e-09
Iter 0: Res_d=7.96e-09, Res_u=9.83e-09
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Newton Iteration 1, Residual Norm: 9.323e-09
Newton Iteration 1, Residual Norm: 7.774e-09
Newton Iteration 1, Residual Norm: 1.160e+00
Newton Iteration 2, Residual Norm: 9.526e-06
Newton Iteration 3, Residual Norm: 9.881e-09
Iter 0: Res_d=7.77e-09, Res_u=9.88e-09
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Newton Iteration 1, Residual Norm: 9.159e-09
Newton Iteration 1, Residual Norm: 7.639e-09
Newton Iteration 1, Residual Norm: 1.077e+00
Newton Iteration 2, Residual Norm: 6.540e-06
Newton Iteration 3, Residual Norm: 9.911e-09
Iter 0: Res_d=7.64e-09, Res_u=9.91e-09
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Newton Iteration 1, Residual Norm: 9.069e-09
Newton Iteration 1, Residual Norm: 7.545e-09
Newton Iteration 1, Residual Norm: 9.985e-01
Newton Iteration 2, Residual Norm: 6.834e-06
Newton Iteration 3, Residual Norm: 9.886e-09
Iter 0: Res_d=7.54e-09, Res_u=9.89e-09
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Newton Iteration 1, Residual Norm: 9.265e-09
Newton Iteration 1, Residual Norm: 7.495e-09
Newton Iteration 1, Residual Norm: 9.426e-01
Newton Iteration 2, Residual Norm: 9.308e-06
Newton Iteration 3, Residual Norm: 9.968e-09
Iter 0: Res_d=7.49e-09, Res_u=9.97e-09
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Newton Iteration 1, Residual Norm: 9.002e-09
Newton Iteration 1, Residual Norm: 7.503e-09
Newton Iteration 1, Residual Norm: 8.794e-01
Newton Iteration 2, Residual Norm: 1.352e-02
Newton Iteration 3, Residual Norm: 1.874e-08
Newton Iteration 4, Residual Norm: 9.918e-09
Iter 0: Res_d=7.50e-09, Res_u=9.92e-09
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Newton Iteration 1, Residual Norm: 9.212e-09
Newton Iteration 1, Residual Norm: 7.573e-09
Newton Iteration 1, Residual Norm: 8.145e-01
Newton Iteration 2, Residual Norm: 7.588e-04
Newton Iteration 3, Residual Norm: 9.995e-09
Iter 0: Res_d=7.57e-09, Res_u=9.99e-09
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Newton Iteration 1, Residual Norm: 9.146e-09
Newton Iteration 1, Residual Norm: 7.708e-09
Newton Iteration 1, Residual Norm: 7.554e-01
Newton Iteration 2, Residual Norm: 2.281e-03
Newton Iteration 3, Residual Norm: 1.530e-08
Newton Iteration 4, Residual Norm: 9.967e-09
Iter 0: Res_d=7.71e-09, Res_u=9.97e-09
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Newton Iteration 1, Residual Norm: 8.893e-09
Newton Iteration 1, Residual Norm: 7.906e-09
Newton Iteration 1, Residual Norm: 7.864e-01
Newton Iteration 2, Residual Norm: 1.338e-03
Newton Iteration 3, Residual Norm: 9.986e-09
Iter 0: Res_d=7.91e-09, Res_u=9.99e-09
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Newton Iteration 1, Residual Norm: 8.821e-09
Newton Iteration 1, Residual Norm: 8.176e-09
Newton Iteration 1, Residual Norm: 7.911e-01
Newton Iteration 2, Residual Norm: 1.309e-02
Newton Iteration 3, Residual Norm: 4.312e-08
Newton Iteration 4, Residual Norm: 9.868e-09
Iter 0: Res_d=8.18e-09, Res_u=9.87e-09
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Newton Iteration 1, Residual Norm: 8.825e-09
Newton Iteration 1, Residual Norm: 8.525e-09
Newton Iteration 1, Residual Norm: 7.526e-01
Newton Iteration 2, Residual Norm: 2.105e-02
Newton Iteration 3, Residual Norm: 7.817e-08
Newton Iteration 4, Residual Norm: 9.907e-09
Iter 0: Res_d=8.52e-09, Res_u=9.91e-09
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Newton Iteration 1, Residual Norm: 8.843e-09
Newton Iteration 1, Residual Norm: 8.987e-09
Newton Iteration 1, Residual Norm: 7.248e-01
Newton Iteration 2, Residual Norm: 8.546e-06
Newton Iteration 3, Residual Norm: 9.845e-09
Iter 0: Res_d=8.99e-09, Res_u=9.84e-09
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Newton Iteration 1, Residual Norm: 8.698e-09
Newton Iteration 1, Residual Norm: 9.670e-09
Newton Iteration 1, Residual Norm: 6.749e-01
Newton Iteration 2, Residual Norm: 8.233e-06
Newton Iteration 3, Residual Norm: 9.869e-09
Iter 0: Res_d=9.67e-09, Res_u=9.87e-09
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Newton Iteration 1, Residual Norm: 8.803e-09
Newton Iteration 1, Residual Norm: 7.290e-09
Newton Iteration 1, Residual Norm: 6.483e-01
Newton Iteration 2, Residual Norm: 9.672e-06
Newton Iteration 3, Residual Norm: 9.897e-09
Iter 0: Res_d=7.29e-09, Res_u=9.90e-09
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Newton Iteration 1, Residual Norm: 8.734e-09
Newton Iteration 1, Residual Norm: 7.998e-09
Newton Iteration 1, Residual Norm: 6.202e-01
Newton Iteration 2, Residual Norm: 8.811e-06
Newton Iteration 3, Residual Norm: 9.984e-09
Iter 0: Res_d=8.00e-09, Res_u=9.98e-09
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Newton Iteration 1, Residual Norm: 8.873e-09
Newton Iteration 1, Residual Norm: 9.278e-09
Newton Iteration 1, Residual Norm: 6.044e-01
Newton Iteration 2, Residual Norm: 9.493e-06
Newton Iteration 3, Residual Norm: 9.718e-09
Iter 0: Res_d=9.28e-09, Res_u=9.72e-09
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Newton Iteration 1, Residual Norm: 8.744e-09
Newton Iteration 1, Residual Norm: 6.872e-09
Newton Iteration 1, Residual Norm: 6.055e-01
Newton Iteration 2, Residual Norm: 1.457e-02
Newton Iteration 3, Residual Norm: 8.320e-08
Newton Iteration 4, Residual Norm: 9.813e-09
Iter 0: Res_d=6.87e-09, Res_u=9.81e-09
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Newton Iteration 1, Residual Norm: 8.743e-09
Newton Iteration 1, Residual Norm: 7.323e-09
Newton Iteration 1, Residual Norm: 6.258e-01
Newton Iteration 2, Residual Norm: 1.491e-05
Newton Iteration 3, Residual Norm: 2.162e-08
Newton Iteration 4, Residual Norm: 9.868e-09
Iter 0: Res_d=7.32e-09, Res_u=9.87e-09
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Newton Iteration 1, Residual Norm: 8.811e-09
Newton Iteration 1, Residual Norm: 7.562e-09
Newton Iteration 1, Residual Norm: 6.547e-01
Newton Iteration 2, Residual Norm: 3.664e-05
Newton Iteration 3, Residual Norm: 1.942e-07
Newton Iteration 4, Residual Norm: 9.952e-09
Iter 0: Res_d=7.56e-09, Res_u=9.95e-09
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Newton Iteration 1, Residual Norm: 8.573e-09
Newton Iteration 1, Residual Norm: 8.712e-09
Newton Iteration 1, Residual Norm: 7.094e-01
Newton Iteration 2, Residual Norm: 6.399e-03
Newton Iteration 3, Residual Norm: 4.237e-06
Newton Iteration 4, Residual Norm: 5.928e-08
Newton Iteration 5, Residual Norm: 9.917e-09
Iter 0: Res_d=8.71e-09, Res_u=9.92e-09
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Newton Iteration 1, Residual Norm: 8.811e-09
Newton Iteration 1, Residual Norm: 8.565e-09
Newton Iteration 1, Residual Norm: 6.939e-01
Newton Iteration 2, Residual Norm: 2.475e-04
Newton Iteration 3, Residual Norm: 3.530e-06
Newton Iteration 4, Residual Norm: 3.912e-08
Newton Iteration 5, Residual Norm: 9.971e-09
Iter 0: Res_d=8.57e-09, Res_u=9.97e-09
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Newton Iteration 1, Residual Norm: 8.670e-09
Newton Iteration 1, Residual Norm: 8.926e-09
Newton Iteration 1, Residual Norm: 7.206e-01
Newton Iteration 2, Residual Norm: 4.134e-04
Newton Iteration 3, Residual Norm: 1.000e-05
Newton Iteration 4, Residual Norm: 1.274e-07
Newton Iteration 5, Residual Norm: 9.974e-09
Iter 0: Res_d=8.93e-09, Res_u=9.97e-09
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Newton Iteration 1, Residual Norm: 8.760e-09
Newton Iteration 1, Residual Norm: 7.555e-09
Newton Iteration 1, Residual Norm: 7.654e-01
Newton Iteration 2, Residual Norm: 1.989e-04
Newton Iteration 3, Residual Norm: 9.525e-06
Newton Iteration 4, Residual Norm: 6.785e-08
Newton Iteration 5, Residual Norm: 9.954e-09
Iter 0: Res_d=7.55e-09, Res_u=9.95e-09
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Newton Iteration 1, Residual Norm: 8.540e-09
Newton Iteration 1, Residual Norm: 9.982e-09
Newton Iteration 1, Residual Norm: 7.868e-01
Newton Iteration 2, Residual Norm: 6.032e-03
Newton Iteration 3, Residual Norm: 1.917e-05
Newton Iteration 4, Residual Norm: 5.669e-07
Newton Iteration 5, Residual Norm: 9.945e-09
Iter 0: Res_d=9.98e-09, Res_u=9.94e-09
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Newton Iteration 1, Residual Norm: 8.824e-09
Newton Iteration 1, Residual Norm: 8.977e-09
Newton Iteration 1, Residual Norm: 8.152e-01
Newton Iteration 2, Residual Norm: 2.084e-03
Newton Iteration 3, Residual Norm: 1.551e-04
Newton Iteration 4, Residual Norm: 3.162e-06
Newton Iteration 5, Residual Norm: 2.212e-07
Newton Iteration 6, Residual Norm: 9.988e-09
Iter 0: Res_d=8.98e-09, Res_u=9.99e-09
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Newton Iteration 1, Residual Norm: 8.477e-09
Newton Iteration 1, Residual Norm: 9.121e-09
Newton Iteration 1, Residual Norm: 8.338e-01
Newton Iteration 2, Residual Norm: 2.306e-03
Newton Iteration 3, Residual Norm: 1.373e-04
Newton Iteration 4, Residual Norm: 3.365e-06
Newton Iteration 5, Residual Norm: 3.465e-07
Newton Iteration 6, Residual Norm: 9.922e-09
Iter 0: Res_d=9.12e-09, Res_u=9.92e-09
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Newton Iteration 1, Residual Norm: 8.667e-09
Newton Iteration 1, Residual Norm: 9.720e-09
Newton Iteration 1, Residual Norm: 7.894e-01
Newton Iteration 2, Residual Norm: 2.061e-03
Newton Iteration 3, Residual Norm: 1.867e-04
Newton Iteration 4, Residual Norm: 4.311e-06
Newton Iteration 5, Residual Norm: 4.798e-07
Newton Iteration 6, Residual Norm: 9.977e-09
Iter 0: Res_d=9.72e-09, Res_u=9.98e-09
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Newton Iteration 1, Residual Norm: 8.566e-09
Newton Iteration 1, Residual Norm: 9.666e-09
Newton Iteration 1, Residual Norm: 8.043e-01
Newton Iteration 2, Residual Norm: 2.220e-03
Newton Iteration 3, Residual Norm: 2.159e-04
Newton Iteration 4, Residual Norm: 4.922e-06
Newton Iteration 5, Residual Norm: 5.199e-07
Newton Iteration 6, Residual Norm: 1.382e-08
Newton Iteration 7, Residual Norm: 9.748e-09
Iter 0: Res_d=9.67e-09, Res_u=9.75e-09
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Newton Iteration 1, Residual Norm: 1.277e-08
Newton Iteration 1, Residual Norm: 9.377e-09
Newton Iteration 1, Residual Norm: 8.083e-01
Newton Iteration 2, Residual Norm: 1.863e-03
Newton Iteration 3, Residual Norm: 1.575e-04
Newton Iteration 4, Residual Norm: 4.521e-06
Newton Iteration 5, Residual Norm: 3.932e-07
Newton Iteration 6, Residual Norm: 9.967e-09
Iter 0: Res_d=9.38e-09, Res_u=9.97e-09
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Newton Iteration 1, Residual Norm: 1.257e-08
Newton Iteration 1, Residual Norm: 8.121e-09
Newton Iteration 1, Residual Norm: 7.197e-01
Newton Iteration 2, Residual Norm: 1.340e-03
Newton Iteration 3, Residual Norm: 1.290e-04
Newton Iteration 4, Residual Norm: 2.823e-06
Newton Iteration 5, Residual Norm: 3.093e-07
Newton Iteration 6, Residual Norm: 9.967e-09
Iter 0: Res_d=8.12e-09, Res_u=9.97e-09
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Newton Iteration 1, Residual Norm: 1.243e-08
Newton Iteration 1, Residual Norm: 8.669e-09
Newton Iteration 1, Residual Norm: 7.299e-01
Newton Iteration 2, Residual Norm: 1.875e-03
Newton Iteration 3, Residual Norm: 8.515e-05
Newton Iteration 4, Residual Norm: 3.916e-06
Newton Iteration 5, Residual Norm: 2.572e-07
Newton Iteration 6, Residual Norm: 9.846e-09
Iter 0: Res_d=8.67e-09, Res_u=9.85e-09
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Newton Iteration 1, Residual Norm: 1.220e-08
Newton Iteration 1, Residual Norm: 9.867e-09
Newton Iteration 1, Residual Norm: 6.807e-01
Newton Iteration 2, Residual Norm: 1.007e-03
Newton Iteration 3, Residual Norm: 9.281e-05
Newton Iteration 4, Residual Norm: 2.975e-06
Newton Iteration 5, Residual Norm: 5.067e-07
Newton Iteration 6, Residual Norm: 1.308e-08
Newton Iteration 7, Residual Norm: 9.998e-09
Iter 0: Res_d=9.87e-09, Res_u=1.00e-08
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Newton Iteration 1, Residual Norm: 1.216e-08
Newton Iteration 1, Residual Norm: 9.952e-09
Newton Iteration 1, Residual Norm: 6.562e-01
Newton Iteration 2, Residual Norm: 1.058e-03
Newton Iteration 3, Residual Norm: 1.251e-04
Newton Iteration 4, Residual Norm: 6.511e-06
Newton Iteration 5, Residual Norm: 6.980e-07
Newton Iteration 6, Residual Norm: 3.901e-08
Newton Iteration 7, Residual Norm: 9.881e-09
Iter 0: Res_d=9.95e-09, Res_u=9.88e-09
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Newton Iteration 1, Residual Norm: 1.209e-08
Newton Iteration 1, Residual Norm: 8.139e-09
Newton Iteration 1, Residual Norm: 6.503e-01
Newton Iteration 2, Residual Norm: 5.078e-03
Newton Iteration 3, Residual Norm: 1.035e-04
Newton Iteration 4, Residual Norm: 7.548e-06
Newton Iteration 5, Residual Norm: 4.960e-07
Newton Iteration 6, Residual Norm: 5.666e-08
Newton Iteration 7, Residual Norm: 9.958e-09
Iter 0: Res_d=8.14e-09, Res_u=9.96e-09
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Newton Iteration 1, Residual Norm: 1.195e-08
Newton Iteration 1, Residual Norm: 8.987e-09
Newton Iteration 1, Residual Norm: 6.455e-01
Newton Iteration 2, Residual Norm: 2.636e-03
Newton Iteration 3, Residual Norm: 1.101e-04
Newton Iteration 4, Residual Norm: 7.397e-06
Newton Iteration 5, Residual Norm: 7.836e-07
Newton Iteration 6, Residual Norm: 5.182e-08
Newton Iteration 7, Residual Norm: 9.965e-09
Iter 0: Res_d=8.99e-09, Res_u=9.96e-09
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Newton Iteration 1, Residual Norm: 1.193e-08
Newton Iteration 1, Residual Norm: 7.839e-09
Newton Iteration 1, Residual Norm: 6.418e-01
Newton Iteration 2, Residual Norm: 1.050e-03
Newton Iteration 3, Residual Norm: 6.140e-05
Newton Iteration 4, Residual Norm: 2.128e-06
Newton Iteration 5, Residual Norm: 2.977e-07
Newton Iteration 6, Residual Norm: 9.928e-09
Iter 0: Res_d=7.84e-09, Res_u=9.93e-09
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Newton Iteration 1, Residual Norm: 1.183e-08
Newton Iteration 1, Residual Norm: 8.825e-09
Newton Iteration 1, Residual Norm: 6.193e-01
Newton Iteration 2, Residual Norm: 9.952e-04
Newton Iteration 3, Residual Norm: 5.407e-05
Newton Iteration 4, Residual Norm: 4.289e-06
Newton Iteration 5, Residual Norm: 3.893e-07
Newton Iteration 6, Residual Norm: 3.003e-08
Newton Iteration 7, Residual Norm: 9.991e-09
Iter 0: Res_d=8.82e-09, Res_u=9.99e-09
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Newton Iteration 1, Residual Norm: 1.174e-08
Newton Iteration 1, Residual Norm: 8.446e-09
Newton Iteration 1, Residual Norm: 5.566e-01
Newton Iteration 2, Residual Norm: 4.694e-04
Newton Iteration 3, Residual Norm: 4.052e-05
Newton Iteration 4, Residual Norm: 2.759e-06
Newton Iteration 5, Residual Norm: 2.310e-07
Newton Iteration 6, Residual Norm: 1.686e-08
Newton Iteration 7, Residual Norm: 9.935e-09
Iter 0: Res_d=8.45e-09, Res_u=9.93e-09
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Newton Iteration 1, Residual Norm: 1.166e-08
Newton Iteration 1, Residual Norm: 9.839e-09
Newton Iteration 1, Residual Norm: 5.417e-01
Newton Iteration 2, Residual Norm: 4.569e-04
Newton Iteration 3, Residual Norm: 4.481e-05
Newton Iteration 4, Residual Norm: 2.482e-06
Newton Iteration 5, Residual Norm: 2.516e-07
Newton Iteration 6, Residual Norm: 1.795e-08
Newton Iteration 7, Residual Norm: 9.931e-09
Iter 0: Res_d=9.84e-09, Res_u=9.93e-09
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Newton Iteration 1, Residual Norm: 1.143e-08
Newton Iteration 1, Residual Norm: 8.049e-09
Newton Iteration 1, Residual Norm: 5.362e-01
Newton Iteration 2, Residual Norm: 2.820e-04
Newton Iteration 3, Residual Norm: 3.003e-05
Newton Iteration 4, Residual Norm: 1.252e-06
Newton Iteration 5, Residual Norm: 1.690e-07
Newton Iteration 6, Residual Norm: 9.944e-09
Iter 0: Res_d=8.05e-09, Res_u=9.94e-09
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Newton Iteration 1, Residual Norm: 1.141e-08
Newton Iteration 1, Residual Norm: 8.124e-09
Newton Iteration 1, Residual Norm: 5.258e-01
Newton Iteration 2, Residual Norm: 4.935e-04
Newton Iteration 3, Residual Norm: 5.971e-06
Newton Iteration 4, Residual Norm: 7.388e-07
Newton Iteration 5, Residual Norm: 5.436e-08
Newton Iteration 6, Residual Norm: 9.940e-09
Iter 0: Res_d=8.12e-09, Res_u=9.94e-09
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Newton Iteration 1, Residual Norm: 1.134e-08
Newton Iteration 1, Residual Norm: 9.796e-09
Newton Iteration 1, Residual Norm: 5.352e-01
Newton Iteration 2, Residual Norm: 1.829e-04
Newton Iteration 3, Residual Norm: 9.848e-06
Newton Iteration 4, Residual Norm: 6.483e-07
Newton Iteration 5, Residual Norm: 3.586e-08
Newton Iteration 6, Residual Norm: 9.967e-09
Iter 0: Res_d=9.80e-09, Res_u=9.97e-09
--- Time Step 68 ---
Newton Iteration 1, Residual Norm: 1.131e-08
Newton Iteration 1, Residual Norm: 9.643e-09
Newton Iteration 1, Residual Norm: 5.448e-01
Newton Iteration 2, Residual Norm: 5.638e-04
Newton Iteration 3, Residual Norm: 1.951e-05
Newton Iteration 4, Residual Norm: 1.639e-06
Newton Iteration 5, Residual Norm: 8.118e-08
Newton Iteration 6, Residual Norm: 9.993e-09
Iter 0: Res_d=9.64e-09, Res_u=9.99e-09
--- Time Step 69 ---
Newton Iteration 1, Residual Norm: 1.116e-08
Newton Iteration 1, Residual Norm: 9.780e-09
Newton Iteration 1, Residual Norm: 5.382e-01
Newton Iteration 2, Residual Norm: 8.017e-04
Newton Iteration 3, Residual Norm: 3.885e-05
Newton Iteration 4, Residual Norm: 3.266e-06
Newton Iteration 5, Residual Norm: 2.328e-07
Newton Iteration 6, Residual Norm: 3.114e-08
Newton Iteration 7, Residual Norm: 9.935e-09
Iter 0: Res_d=9.78e-09, Res_u=9.94e-09
--- Time Step 70 ---
Newton Iteration 1, Residual Norm: 1.104e-08
Newton Iteration 1, Residual Norm: 9.461e-09
Newton Iteration 1, Residual Norm: 5.306e-01
Newton Iteration 2, Residual Norm: 3.650e-04
Newton Iteration 3, Residual Norm: 6.135e-05
Newton Iteration 4, Residual Norm: 2.709e-06
Newton Iteration 5, Residual Norm: 4.442e-07
Newton Iteration 6, Residual Norm: 2.320e-08
Newton Iteration 7, Residual Norm: 9.995e-09
Iter 0: Res_d=9.46e-09, Res_u=9.99e-09
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Newton Iteration 1, Residual Norm: 1.106e-08
Newton Iteration 1, Residual Norm: 9.381e-09
Newton Iteration 1, Residual Norm: 5.235e-01
Newton Iteration 2, Residual Norm: 3.645e-04
Newton Iteration 3, Residual Norm: 7.468e-05
Newton Iteration 4, Residual Norm: 2.424e-06
Newton Iteration 5, Residual Norm: 4.554e-07
Newton Iteration 6, Residual Norm: 2.912e-08
Newton Iteration 7, Residual Norm: 9.998e-09
Iter 0: Res_d=9.38e-09, Res_u=1.00e-08
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Newton Iteration 1, Residual Norm: 1.092e-08
Newton Iteration 1, Residual Norm: 9.093e-09
Newton Iteration 1, Residual Norm: 5.144e-01
Newton Iteration 2, Residual Norm: 2.894e-04
Newton Iteration 3, Residual Norm: 6.247e-05
Newton Iteration 4, Residual Norm: 1.554e-06
Newton Iteration 5, Residual Norm: 2.992e-07
Newton Iteration 6, Residual Norm: 9.976e-09
Iter 0: Res_d=9.09e-09, Res_u=9.98e-09
--- Time Step 73 ---
Newton Iteration 1, Residual Norm: 1.089e-08
Newton Iteration 1, Residual Norm: 9.865e-09
Newton Iteration 1, Residual Norm: 5.032e-01
Newton Iteration 2, Residual Norm: 8.110e-03
Newton Iteration 3, Residual Norm: 4.013e-05
Newton Iteration 4, Residual Norm: 8.361e-07
Newton Iteration 5, Residual Norm: 1.626e-07
Newton Iteration 6, Residual Norm: 9.982e-09
Iter 0: Res_d=9.87e-09, Res_u=9.98e-09
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Newton Iteration 1, Residual Norm: 1.080e-08
Newton Iteration 1, Residual Norm: 7.778e-09
Newton Iteration 1, Residual Norm: 4.804e-01
Newton Iteration 2, Residual Norm: 2.020e-04
Newton Iteration 3, Residual Norm: 3.691e-05
Newton Iteration 4, Residual Norm: 6.147e-07
Newton Iteration 5, Residual Norm: 1.203e-07
Newton Iteration 6, Residual Norm: 9.898e-09
Iter 0: Res_d=7.78e-09, Res_u=9.90e-09
--- Time Step 75 ---
Newton Iteration 1, Residual Norm: 1.077e-08
Newton Iteration 1, Residual Norm: 9.685e-09
Newton Iteration 1, Residual Norm: 4.757e-01
Newton Iteration 2, Residual Norm: 1.873e-04
Newton Iteration 3, Residual Norm: 3.424e-05
Newton Iteration 4, Residual Norm: 5.888e-07
Newton Iteration 5, Residual Norm: 1.256e-07
Newton Iteration 6, Residual Norm: 9.943e-09
Iter 0: Res_d=9.68e-09, Res_u=9.94e-09
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Newton Iteration 1, Residual Norm: 1.074e-08
Newton Iteration 1, Residual Norm: 9.742e-09
Newton Iteration 1, Residual Norm: 4.715e-01
Newton Iteration 2, Residual Norm: 1.613e-04
Newton Iteration 3, Residual Norm: 2.529e-05
Newton Iteration 4, Residual Norm: 4.243e-07
Newton Iteration 5, Residual Norm: 7.038e-08
Newton Iteration 6, Residual Norm: 9.946e-09
Iter 0: Res_d=9.74e-09, Res_u=9.95e-09
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Newton Iteration 1, Residual Norm: 1.065e-08
Newton Iteration 1, Residual Norm: 9.517e-09
Newton Iteration 1, Residual Norm: 4.733e-01
Newton Iteration 2, Residual Norm: 1.174e-03
Newton Iteration 3, Residual Norm: 2.862e-05
Newton Iteration 4, Residual Norm: 6.900e-07
Newton Iteration 5, Residual Norm: 1.167e-07
Newton Iteration 6, Residual Norm: 9.929e-09
Iter 0: Res_d=9.52e-09, Res_u=9.93e-09
--- Time Step 78 ---
Newton Iteration 1, Residual Norm: 1.053e-08
Newton Iteration 1, Residual Norm: 9.655e-09
Newton Iteration 1, Residual Norm: 5.380e-01
Newton Iteration 2, Residual Norm: 2.647e-04
Newton Iteration 3, Residual Norm: 4.936e-05
Newton Iteration 4, Residual Norm: 9.780e-07
Newton Iteration 5, Residual Norm: 2.103e-07
Newton Iteration 6, Residual Norm: 9.908e-09
Iter 0: Res_d=9.65e-09, Res_u=9.91e-09
--- Time Step 79 ---
Newton Iteration 1, Residual Norm: 1.051e-08
Newton Iteration 1, Residual Norm: 8.665e-09
Newton Iteration 1, Residual Norm: 5.513e-01
Newton Iteration 2, Residual Norm: 3.049e-04
Newton Iteration 3, Residual Norm: 5.872e-05
Newton Iteration 4, Residual Norm: 1.875e-06
Newton Iteration 5, Residual Norm: 3.488e-07
Newton Iteration 6, Residual Norm: 9.956e-09
Iter 0: Res_d=8.66e-09, Res_u=9.96e-09
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Newton Iteration 1, Residual Norm: 1.045e-08
Newton Iteration 1, Residual Norm: 8.561e-09
Newton Iteration 1, Residual Norm: 5.693e-01
Newton Iteration 2, Residual Norm: 1.744e-03
Newton Iteration 3, Residual Norm: 5.147e-05
Newton Iteration 4, Residual Norm: 2.910e-06
Newton Iteration 5, Residual Norm: 3.240e-07
Newton Iteration 6, Residual Norm: 2.214e-08
Newton Iteration 7, Residual Norm: 9.983e-09
Iter 0: Res_d=8.56e-09, Res_u=9.98e-09
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Newton Iteration 1, Residual Norm: 1.042e-08
Newton Iteration 1, Residual Norm: 9.684e-09
Newton Iteration 1, Residual Norm: 5.833e-01
Newton Iteration 2, Residual Norm: 1.980e-03
Newton Iteration 3, Residual Norm: 5.775e-05
Newton Iteration 4, Residual Norm: 2.980e-06
Newton Iteration 5, Residual Norm: 3.424e-07
Newton Iteration 6, Residual Norm: 2.151e-08
Newton Iteration 7, Residual Norm: 9.931e-09
Iter 0: Res_d=9.68e-09, Res_u=9.93e-09
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Newton Iteration 1, Residual Norm: 1.036e-08
Newton Iteration 1, Residual Norm: 9.836e-09
Newton Iteration 1, Residual Norm: 5.931e-01
Newton Iteration 2, Residual Norm: 7.358e-04
Newton Iteration 3, Residual Norm: 6.943e-05
Newton Iteration 4, Residual Norm: 2.842e-06
Newton Iteration 5, Residual Norm: 4.051e-07
Newton Iteration 6, Residual Norm: 2.083e-08
Newton Iteration 7, Residual Norm: 9.998e-09
Iter 0: Res_d=9.84e-09, Res_u=1.00e-08
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Newton Iteration 1, Residual Norm: 1.019e-08
Newton Iteration 1, Residual Norm: 9.605e-09
Newton Iteration 1, Residual Norm: 5.966e-01
Newton Iteration 2, Residual Norm: 2.454e-03
Newton Iteration 3, Residual Norm: 6.983e-05
Newton Iteration 4, Residual Norm: 1.929e-06
Newton Iteration 5, Residual Norm: 5.385e-07
Newton Iteration 6, Residual Norm: 1.486e-08
Newton Iteration 7, Residual Norm: 9.992e-09
Iter 0: Res_d=9.61e-09, Res_u=9.99e-09
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Newton Iteration 1, Residual Norm: 1.019e-08
Newton Iteration 1, Residual Norm: 8.010e-09
Newton Iteration 1, Residual Norm: 6.016e-01
Newton Iteration 2, Residual Norm: 8.249e-03
Newton Iteration 3, Residual Norm: 6.250e-05
Newton Iteration 4, Residual Norm: 2.309e-06
Newton Iteration 5, Residual Norm: 4.054e-07
Newton Iteration 6, Residual Norm: 1.791e-08
Newton Iteration 7, Residual Norm: 9.897e-09
Iter 0: Res_d=8.01e-09, Res_u=9.90e-09
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Newton Iteration 1, Residual Norm: 1.018e-08
Newton Iteration 1, Residual Norm: 9.515e-09
Newton Iteration 1, Residual Norm: 6.039e-01
Newton Iteration 2, Residual Norm: 3.538e-04
Newton Iteration 3, Residual Norm: 6.710e-05
Newton Iteration 4, Residual Norm: 2.175e-06
Newton Iteration 5, Residual Norm: 4.373e-07
Newton Iteration 6, Residual Norm: 1.597e-08
Newton Iteration 7, Residual Norm: 9.943e-09
Iter 0: Res_d=9.52e-09, Res_u=9.94e-09
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Newton Iteration 1, Residual Norm: 1.013e-08
Newton Iteration 1, Residual Norm: 8.346e-09
Newton Iteration 1, Residual Norm: 6.051e-01
Newton Iteration 2, Residual Norm: 2.786e-04
Newton Iteration 3, Residual Norm: 6.653e-05
Newton Iteration 4, Residual Norm: 1.973e-06
Newton Iteration 5, Residual Norm: 3.172e-07
Newton Iteration 6, Residual Norm: 9.998e-09
Iter 0: Res_d=8.35e-09, Res_u=1.00e-08
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Newton Iteration 1, Residual Norm: 1.012e-08
Newton Iteration 1, Residual Norm: 8.291e-09
Newton Iteration 1, Residual Norm: 6.088e-01
Newton Iteration 2, Residual Norm: 2.285e-04
Newton Iteration 3, Residual Norm: 5.842e-05
Newton Iteration 4, Residual Norm: 1.127e-06
Newton Iteration 5, Residual Norm: 3.773e-07
Newton Iteration 6, Residual Norm: 9.941e-09
Iter 0: Res_d=8.29e-09, Res_u=9.94e-09
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Newton Iteration 1, Residual Norm: 1.002e-08
Newton Iteration 1, Residual Norm: 9.411e-09
Newton Iteration 1, Residual Norm: 6.143e-01
Newton Iteration 2, Residual Norm: 2.368e-04
Newton Iteration 3, Residual Norm: 5.756e-05
Newton Iteration 4, Residual Norm: 1.222e-06
Newton Iteration 5, Residual Norm: 3.576e-07
Newton Iteration 6, Residual Norm: 9.956e-09
Iter 0: Res_d=9.41e-09, Res_u=9.96e-09
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Newton Iteration 1, Residual Norm: 9.976e-09
Newton Iteration 1, Residual Norm: 9.094e-09
Newton Iteration 1, Residual Norm: 6.209e-01
Newton Iteration 2, Residual Norm: 2.342e-04
Newton Iteration 3, Residual Norm: 6.151e-05
Newton Iteration 4, Residual Norm: 1.442e-06
Newton Iteration 5, Residual Norm: 3.984e-07
Newton Iteration 6, Residual Norm: 9.956e-09
Iter 0: Res_d=9.09e-09, Res_u=9.96e-09
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Newton Iteration 1, Residual Norm: 1.001e-08
Newton Iteration 1, Residual Norm: 9.918e-09
Newton Iteration 1, Residual Norm: 6.252e-01
Newton Iteration 2, Residual Norm: 3.770e-04
Newton Iteration 3, Residual Norm: 7.678e-05
Newton Iteration 4, Residual Norm: 2.545e-06
Newton Iteration 5, Residual Norm: 8.502e-07
Newton Iteration 6, Residual Norm: 2.011e-08
Newton Iteration 7, Residual Norm: 9.962e-09
Iter 0: Res_d=9.92e-09, Res_u=9.96e-09
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Newton Iteration 1, Residual Norm: 9.886e-09
Newton Iteration 1, Residual Norm: 8.928e-09
Newton Iteration 1, Residual Norm: 6.321e-01
Newton Iteration 2, Residual Norm: 6.175e-04
Newton Iteration 3, Residual Norm: 8.292e-05
Newton Iteration 4, Residual Norm: 4.354e-06
Newton Iteration 5, Residual Norm: 7.630e-07
Newton Iteration 6, Residual Norm: 6.861e-08
Newton Iteration 7, Residual Norm: 9.986e-09
Iter 0: Res_d=8.93e-09, Res_u=9.99e-09
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Newton Iteration 1, Residual Norm: 9.863e-09
Newton Iteration 1, Residual Norm: 9.796e-09
Newton Iteration 1, Residual Norm: 6.401e-01
Newton Iteration 2, Residual Norm: 1.265e-03
Newton Iteration 3, Residual Norm: 8.140e-05
Newton Iteration 4, Residual Norm: 5.866e-06
Newton Iteration 5, Residual Norm: 9.714e-07
Newton Iteration 6, Residual Norm: 6.059e-08
Newton Iteration 7, Residual Norm: 9.997e-09
Iter 0: Res_d=9.80e-09, Res_u=1.00e-08
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Newton Iteration 1, Residual Norm: 9.807e-09
Newton Iteration 1, Residual Norm: 9.108e-09
Newton Iteration 1, Residual Norm: 6.511e-01
Newton Iteration 2, Residual Norm: 1.888e-03
Newton Iteration 3, Residual Norm: 8.757e-05
Newton Iteration 4, Residual Norm: 6.482e-06
Newton Iteration 5, Residual Norm: 7.943e-07
Newton Iteration 6, Residual Norm: 8.341e-08
Newton Iteration 7, Residual Norm: 9.983e-09
Iter 0: Res_d=9.11e-09, Res_u=9.98e-09
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Newton Iteration 1, Residual Norm: 9.789e-09
Newton Iteration 1, Residual Norm: 9.105e-09
Newton Iteration 1, Residual Norm: 6.566e-01
Newton Iteration 2, Residual Norm: 2.440e-03
Newton Iteration 3, Residual Norm: 1.008e-04
Newton Iteration 4, Residual Norm: 9.686e-06
Newton Iteration 5, Residual Norm: 1.036e-06
Newton Iteration 6, Residual Norm: 1.164e-07
Newton Iteration 7, Residual Norm: 1.305e-08
Newton Iteration 8, Residual Norm: 9.993e-09
Iter 0: Res_d=9.11e-09, Res_u=9.99e-09
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Newton Iteration 1, Residual Norm: 9.795e-09
Newton Iteration 1, Residual Norm: 9.576e-09
Newton Iteration 1, Residual Norm: 6.661e-01
Newton Iteration 2, Residual Norm: 2.903e-03
Newton Iteration 3, Residual Norm: 1.119e-04
Newton Iteration 4, Residual Norm: 1.085e-05
Newton Iteration 5, Residual Norm: 1.332e-06
Newton Iteration 6, Residual Norm: 1.463e-07
Newton Iteration 7, Residual Norm: 1.952e-08
Newton Iteration 8, Residual Norm: 9.964e-09
Iter 0: Res_d=9.58e-09, Res_u=9.96e-09
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Newton Iteration 1, Residual Norm: 9.727e-09
Newton Iteration 1, Residual Norm: 9.118e-09
Newton Iteration 1, Residual Norm: 6.760e-01
Newton Iteration 2, Residual Norm: 3.403e-03
Newton Iteration 3, Residual Norm: 1.174e-04
Newton Iteration 4, Residual Norm: 1.189e-05
Newton Iteration 5, Residual Norm: 1.676e-06
Newton Iteration 6, Residual Norm: 1.344e-07
Newton Iteration 7, Residual Norm: 3.248e-08
Newton Iteration 8, Residual Norm: 9.985e-09
Iter 0: Res_d=9.12e-09, Res_u=9.98e-09
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Newton Iteration 1, Residual Norm: 9.719e-09
Newton Iteration 1, Residual Norm: 8.948e-09
Newton Iteration 1, Residual Norm: 6.967e-01
Newton Iteration 2, Residual Norm: 3.692e-03
Newton Iteration 3, Residual Norm: 1.138e-04
Newton Iteration 4, Residual Norm: 1.154e-05
Newton Iteration 5, Residual Norm: 1.545e-06
Newton Iteration 6, Residual Norm: 1.526e-07
Newton Iteration 7, Residual Norm: 2.288e-08
Newton Iteration 8, Residual Norm: 9.978e-09
Iter 0: Res_d=8.95e-09, Res_u=9.98e-09
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Newton Iteration 1, Residual Norm: 9.665e-09
Newton Iteration 1, Residual Norm: 8.685e-09
Newton Iteration 1, Residual Norm: 7.026e-01
Newton Iteration 2, Residual Norm: 4.375e-03
Newton Iteration 3, Residual Norm: 1.121e-04
Newton Iteration 4, Residual Norm: 1.128e-05
Newton Iteration 5, Residual Norm: 1.428e-06
Newton Iteration 6, Residual Norm: 1.600e-07
Newton Iteration 7, Residual Norm: 2.190e-08
Newton Iteration 8, Residual Norm: 9.930e-09
Iter 0: Res_d=8.69e-09, Res_u=9.93e-09
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Newton Iteration 1, Residual Norm: 9.670e-09
Newton Iteration 1, Residual Norm: 9.050e-09
Newton Iteration 1, Residual Norm: 7.069e-01
Newton Iteration 2, Residual Norm: 4.933e-04
Newton Iteration 3, Residual Norm: 1.316e-04
Newton Iteration 4, Residual Norm: 6.457e-06
Newton Iteration 5, Residual Norm: 1.743e-06
Newton Iteration 6, Residual Norm: 1.214e-07
Newton Iteration 7, Residual Norm: 2.136e-08
Newton Iteration 8, Residual Norm: 9.916e-09
Iter 0: Res_d=9.05e-09, Res_u=9.92e-09
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Newton Iteration 1, Residual Norm: 9.733e-09
Newton Iteration 1, Residual Norm: 9.959e-09
Newton Iteration 1, Residual Norm: 7.144e-01
Newton Iteration 2, Residual Norm: 4.663e-04
Newton Iteration 3, Residual Norm: 1.263e-04
Newton Iteration 4, Residual Norm: 5.969e-06
Newton Iteration 5, Residual Norm: 1.647e-06
Newton Iteration 6, Residual Norm: 7.220e-08
Newton Iteration 7, Residual Norm: 4.132e-08
Newton Iteration 8, Residual Norm: 1.000e-08
Iter 0: Res_d=9.96e-09, Res_u=1.00e-08
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Newton Iteration 1, Residual Norm: 9.735e-09
Newton Iteration 1, Residual Norm: 9.743e-09
Newton Iteration 1, Residual Norm: 7.181e-01
Newton Iteration 2, Residual Norm: 4.840e-04
Newton Iteration 3, Residual Norm: 1.258e-04
Newton Iteration 4, Residual Norm: 5.867e-06
Newton Iteration 5, Residual Norm: 1.383e-06
Newton Iteration 6, Residual Norm: 1.159e-07
Newton Iteration 7, Residual Norm: 2.372e-08
Newton Iteration 8, Residual Norm: 9.975e-09
Iter 0: Res_d=9.74e-09, Res_u=9.97e-09
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Newton Iteration 1, Residual Norm: 9.777e-09
Newton Iteration 1, Residual Norm: 8.828e-09
Newton Iteration 1, Residual Norm: 7.207e-01
Newton Iteration 2, Residual Norm: 4.318e-04
Newton Iteration 3, Residual Norm: 1.243e-04
Newton Iteration 4, Residual Norm: 7.259e-06
Newton Iteration 5, Residual Norm: 1.377e-06
Newton Iteration 6, Residual Norm: 1.353e-07
Newton Iteration 7, Residual Norm: 1.458e-08
Newton Iteration 8, Residual Norm: 9.979e-09
Iter 0: Res_d=8.83e-09, Res_u=9.98e-09
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Newton Iteration 1, Residual Norm: 9.787e-09
Newton Iteration 1, Residual Norm: 9.775e-09
Newton Iteration 1, Residual Norm: 7.218e-01
Newton Iteration 2, Residual Norm: 4.148e-04
Newton Iteration 3, Residual Norm: 1.244e-04
Newton Iteration 4, Residual Norm: 5.157e-06
Newton Iteration 5, Residual Norm: 2.027e-06
Newton Iteration 6, Residual Norm: 6.697e-08
Newton Iteration 7, Residual Norm: 2.805e-08
Newton Iteration 8, Residual Norm: 9.985e-09
Iter 0: Res_d=9.77e-09, Res_u=9.98e-09
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Newton Iteration 1, Residual Norm: 9.899e-09
Newton Iteration 1, Residual Norm: 9.073e-09
Newton Iteration 1, Residual Norm: 7.230e-01
Newton Iteration 2, Residual Norm: 6.244e-03
Newton Iteration 3, Residual Norm: 1.216e-04
Newton Iteration 4, Residual Norm: 5.746e-06
Newton Iteration 5, Residual Norm: 1.625e-06
Newton Iteration 6, Residual Norm: 8.489e-08
Newton Iteration 7, Residual Norm: 2.489e-08
Newton Iteration 8, Residual Norm: 9.955e-09
Iter 0: Res_d=9.07e-09, Res_u=9.95e-09
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Newton Iteration 1, Residual Norm: 1.002e-08
Newton Iteration 1, Residual Norm: 8.853e-09
Newton Iteration 1, Residual Norm: 7.266e-01
Newton Iteration 2, Residual Norm: 1.262e-02
Newton Iteration 3, Residual Norm: 1.141e-04
Newton Iteration 4, Residual Norm: 6.762e-06
Newton Iteration 5, Residual Norm: 1.358e-06
Newton Iteration 6, Residual Norm: 1.322e-07
Newton Iteration 7, Residual Norm: 2.068e-08
Newton Iteration 8, Residual Norm: 9.960e-09
Iter 0: Res_d=8.85e-09, Res_u=9.96e-09
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Newton Iteration 1, Residual Norm: 1.029e-08
Newton Iteration 1, Residual Norm: 9.587e-09
Newton Iteration 1, Residual Norm: 7.291e-01
Newton Iteration 2, Residual Norm: 1.878e-02
Newton Iteration 3, Residual Norm: 1.093e-04
Newton Iteration 4, Residual Norm: 8.854e-06
Newton Iteration 5, Residual Norm: 1.482e-06
Newton Iteration 6, Residual Norm: 1.447e-07
Newton Iteration 7, Residual Norm: 3.055e-08
Newton Iteration 8, Residual Norm: 9.986e-09
Iter 0: Res_d=9.59e-09, Res_u=9.99e-09
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Newton Iteration 1, Residual Norm: 1.054e-08
Newton Iteration 1, Residual Norm: 7.370e-09
Newton Iteration 1, Residual Norm: 7.353e-01
Newton Iteration 2, Residual Norm: 5.286e-04
Newton Iteration 3, Residual Norm: 1.320e-04
Newton Iteration 4, Residual Norm: 7.962e-06
Newton Iteration 5, Residual Norm: 1.512e-06
Newton Iteration 6, Residual Norm: 1.516e-07
Newton Iteration 7, Residual Norm: 2.317e-08
Newton Iteration 8, Residual Norm: 9.931e-09
Iter 0: Res_d=7.37e-09, Res_u=9.93e-09
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Newton Iteration 1, Residual Norm: 1.093e-08
Newton Iteration 1, Residual Norm: 8.883e-09
Newton Iteration 1, Residual Norm: 7.360e-01
Newton Iteration 2, Residual Norm: 5.582e-04
Newton Iteration 3, Residual Norm: 1.383e-04
Newton Iteration 4, Residual Norm: 7.341e-06
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Newton Iteration 6, Residual Norm: 1.202e-07
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Newton Iteration 1, Residual Norm: 1.142e-08
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Newton Iteration 8, Residual Norm: 9.966e-09
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Newton Iteration 1, Residual Norm: 1.197e-08
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Newton Iteration 2, Residual Norm: 1.867e-03
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Newton Iteration 8, Residual Norm: 9.978e-09
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Newton Iteration 1, Residual Norm: 9.178e-09
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Newton Iteration 1, Residual Norm: 7.512e-01
Newton Iteration 2, Residual Norm: 2.616e-03
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Newton Iteration 8, Residual Norm: 9.957e-09
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Newton Iteration 1, Residual Norm: 9.427e-09
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Newton Iteration 2, Residual Norm: 3.375e-03
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Newton Iteration 8, Residual Norm: 9.982e-09
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Newton Iteration 1, Residual Norm: 9.603e-09
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Newton Iteration 2, Residual Norm: 1.909e-03
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Newton Iteration 8, Residual Norm: 9.985e-09
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Newton Iteration 1, Residual Norm: 9.838e-09
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Newton Iteration 2, Residual Norm: 2.352e-03
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Newton Iteration 7, Residual Norm: 4.351e-08
Newton Iteration 8, Residual Norm: 9.965e-09
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Newton Iteration 1, Residual Norm: 9.954e-09
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Newton Iteration 2, Residual Norm: 2.845e-03
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Newton Iteration 8, Residual Norm: 9.963e-09
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Newton Iteration 1, Residual Norm: 1.006e-08
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Newton Iteration 2, Residual Norm: 3.301e-03
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Newton Iteration 7, Residual Norm: 4.520e-08
Newton Iteration 8, Residual Norm: 9.985e-09
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Newton Iteration 1, Residual Norm: 1.013e-08
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Newton Iteration 1, Residual Norm: 7.701e-01
Newton Iteration 2, Residual Norm: 1.038e-03
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Newton Iteration 6, Residual Norm: 1.632e-07
Newton Iteration 7, Residual Norm: 5.932e-08
Newton Iteration 8, Residual Norm: 9.967e-09
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Newton Iteration 1, Residual Norm: 1.027e-08
Newton Iteration 1, Residual Norm: 9.959e-09
Newton Iteration 1, Residual Norm: 7.752e-01
Newton Iteration 2, Residual Norm: 1.484e-03
Newton Iteration 3, Residual Norm: 1.321e-04
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Newton Iteration 5, Residual Norm: 1.993e-06
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Newton Iteration 8, Residual Norm: 9.949e-09
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Newton Iteration 1, Residual Norm: 1.032e-08
Newton Iteration 1, Residual Norm: 9.486e-09
Newton Iteration 1, Residual Norm: 7.818e-01
Newton Iteration 2, Residual Norm: 1.960e-03
Newton Iteration 3, Residual Norm: 1.257e-04
Newton Iteration 4, Residual Norm: 1.125e-05
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Newton Iteration 7, Residual Norm: 3.810e-08
Newton Iteration 8, Residual Norm: 9.969e-09
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Newton Iteration 1, Residual Norm: 1.033e-08
Newton Iteration 1, Residual Norm: 9.393e-09
Newton Iteration 1, Residual Norm: 7.884e-01
Newton Iteration 2, Residual Norm: 2.455e-03
Newton Iteration 3, Residual Norm: 1.205e-04
Newton Iteration 4, Residual Norm: 1.163e-05
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Newton Iteration 6, Residual Norm: 2.593e-07
Newton Iteration 7, Residual Norm: 3.389e-08
Newton Iteration 8, Residual Norm: 9.996e-09
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Newton Iteration 1, Residual Norm: 1.030e-08
Newton Iteration 1, Residual Norm: 9.672e-09
Newton Iteration 1, Residual Norm: 7.917e-01
Newton Iteration 2, Residual Norm: 2.941e-03
Newton Iteration 3, Residual Norm: 1.165e-04
Newton Iteration 4, Residual Norm: 1.215e-05
Newton Iteration 5, Residual Norm: 2.048e-06
Newton Iteration 6, Residual Norm: 2.108e-07
Newton Iteration 7, Residual Norm: 5.966e-08
Newton Iteration 8, Residual Norm: 9.966e-09
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Newton Iteration 1, Residual Norm: 1.033e-08
Newton Iteration 1, Residual Norm: 8.217e-09
Newton Iteration 1, Residual Norm: 7.936e-01
Newton Iteration 2, Residual Norm: 3.419e-03
Newton Iteration 3, Residual Norm: 1.142e-04
Newton Iteration 4, Residual Norm: 1.199e-05
Newton Iteration 5, Residual Norm: 2.597e-06
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Newton Iteration 7, Residual Norm: 7.098e-08
Newton Iteration 8, Residual Norm: 9.935e-09
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Newton Iteration 1, Residual Norm: 1.031e-08
Newton Iteration 1, Residual Norm: 9.652e-09
Newton Iteration 1, Residual Norm: 7.940e-01
Newton Iteration 2, Residual Norm: 4.135e-04
Newton Iteration 3, Residual Norm: 1.474e-04
Newton Iteration 4, Residual Norm: 7.061e-06
Newton Iteration 5, Residual Norm: 2.650e-06
Newton Iteration 6, Residual Norm: 1.412e-07
Newton Iteration 7, Residual Norm: 5.515e-08
Newton Iteration 8, Residual Norm: 9.974e-09
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Newton Iteration 1, Residual Norm: 1.032e-08
Newton Iteration 1, Residual Norm: 9.622e-09
Newton Iteration 1, Residual Norm: 7.953e-01
Newton Iteration 2, Residual Norm: 4.173e-04
Newton Iteration 3, Residual Norm: 1.478e-04
Newton Iteration 4, Residual Norm: 7.028e-06
Newton Iteration 5, Residual Norm: 2.403e-06
Newton Iteration 6, Residual Norm: 1.731e-07
Newton Iteration 7, Residual Norm: 5.411e-08
Newton Iteration 8, Residual Norm: 9.944e-09
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Newton Iteration 1, Residual Norm: 1.035e-08
Newton Iteration 1, Residual Norm: 9.706e-09
Newton Iteration 1, Residual Norm: 7.988e-01
Newton Iteration 2, Residual Norm: 4.211e-04
Newton Iteration 3, Residual Norm: 1.495e-04
Newton Iteration 4, Residual Norm: 7.279e-06
Newton Iteration 5, Residual Norm: 2.631e-06
Newton Iteration 6, Residual Norm: 1.420e-07
Newton Iteration 7, Residual Norm: 6.538e-08
Newton Iteration 8, Residual Norm: 9.949e-09
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Newton Iteration 1, Residual Norm: 1.034e-08
Newton Iteration 1, Residual Norm: 9.387e-09
Newton Iteration 1, Residual Norm: 8.019e-01
Newton Iteration 2, Residual Norm: 4.341e-04
Newton Iteration 3, Residual Norm: 1.552e-04
Newton Iteration 4, Residual Norm: 6.923e-06
Newton Iteration 5, Residual Norm: 3.405e-06
Newton Iteration 6, Residual Norm: 1.323e-07
Newton Iteration 7, Residual Norm: 6.012e-08
Newton Iteration 8, Residual Norm: 9.969e-09
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Newton Iteration 1, Residual Norm: 1.028e-08
Newton Iteration 1, Residual Norm: 8.304e-09
Newton Iteration 1, Residual Norm: 8.044e-01
Newton Iteration 2, Residual Norm: 4.704e-04
Newton Iteration 3, Residual Norm: 1.599e-04
Newton Iteration 4, Residual Norm: 8.367e-06
Newton Iteration 5, Residual Norm: 3.044e-06
Newton Iteration 6, Residual Norm: 1.728e-07
Newton Iteration 7, Residual Norm: 6.549e-08
Newton Iteration 8, Residual Norm: 9.926e-09
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Newton Iteration 1, Residual Norm: 1.026e-08
Newton Iteration 1, Residual Norm: 9.905e-09
Newton Iteration 1, Residual Norm: 8.081e-01
Newton Iteration 2, Residual Norm: 5.281e-04
Newton Iteration 3, Residual Norm: 1.669e-04
Newton Iteration 4, Residual Norm: 9.177e-06
Newton Iteration 5, Residual Norm: 2.655e-06
Newton Iteration 6, Residual Norm: 1.752e-07
Newton Iteration 7, Residual Norm: 8.838e-08
Newton Iteration 8, Residual Norm: 9.984e-09
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Newton Iteration 1, Residual Norm: 1.022e-08
Newton Iteration 1, Residual Norm: 9.311e-09
Newton Iteration 1, Residual Norm: 8.127e-01
Newton Iteration 2, Residual Norm: 5.760e-04
Newton Iteration 3, Residual Norm: 1.715e-04
Newton Iteration 4, Residual Norm: 8.763e-06
Newton Iteration 5, Residual Norm: 3.132e-06
Newton Iteration 6, Residual Norm: 2.677e-07
Newton Iteration 7, Residual Norm: 6.036e-08
Newton Iteration 8, Residual Norm: 9.991e-09
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Newton Iteration 1, Residual Norm: 1.015e-08
Newton Iteration 1, Residual Norm: 7.998e-09
Newton Iteration 1, Residual Norm: 8.195e-01
Newton Iteration 2, Residual Norm: 6.305e-04
Newton Iteration 3, Residual Norm: 1.725e-04
Newton Iteration 4, Residual Norm: 9.044e-06
Newton Iteration 5, Residual Norm: 4.071e-06
Newton Iteration 6, Residual Norm: 1.682e-07
Newton Iteration 7, Residual Norm: 8.496e-08
Newton Iteration 8, Residual Norm: 9.979e-09
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Newton Iteration 1, Residual Norm: 1.015e-08
Newton Iteration 1, Residual Norm: 9.933e-09
Newton Iteration 1, Residual Norm: 8.226e-01
Newton Iteration 2, Residual Norm: 7.034e-04
Newton Iteration 3, Residual Norm: 1.762e-04
Newton Iteration 4, Residual Norm: 1.046e-05
Newton Iteration 5, Residual Norm: 4.766e-06
Newton Iteration 6, Residual Norm: 1.364e-07
Newton Iteration 7, Residual Norm: 1.060e-07
Newton Iteration 8, Residual Norm: 9.994e-09
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Newton Iteration 1, Residual Norm: 1.009e-08
Newton Iteration 1, Residual Norm: 9.059e-09
Newton Iteration 1, Residual Norm: 8.249e-01
Newton Iteration 2, Residual Norm: 9.527e-04
Newton Iteration 3, Residual Norm: 1.697e-04
Newton Iteration 4, Residual Norm: 1.051e-05
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Newton Iteration 6, Residual Norm: 1.694e-07
Newton Iteration 7, Residual Norm: 1.261e-07
Newton Iteration 8, Residual Norm: 9.925e-09
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Newton Iteration 1, Residual Norm: 1.007e-08
Newton Iteration 1, Residual Norm: 9.949e-09
Newton Iteration 1, Residual Norm: 8.284e-01
Newton Iteration 2, Residual Norm: 1.354e-03
Newton Iteration 3, Residual Norm: 1.564e-04
Newton Iteration 4, Residual Norm: 1.324e-05
Newton Iteration 5, Residual Norm: 2.690e-06
Newton Iteration 6, Residual Norm: 2.439e-07
Newton Iteration 7, Residual Norm: 7.127e-08
Newton Iteration 8, Residual Norm: 9.973e-09
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Newton Iteration 1, Residual Norm: 1.009e-08
Newton Iteration 1, Residual Norm: 8.692e-09
Newton Iteration 1, Residual Norm: 8.295e-01
Newton Iteration 2, Residual Norm: 1.718e-03
Newton Iteration 3, Residual Norm: 1.422e-04
Newton Iteration 4, Residual Norm: 1.229e-05
Newton Iteration 5, Residual Norm: 3.339e-06
Newton Iteration 6, Residual Norm: 2.357e-07
Newton Iteration 7, Residual Norm: 6.106e-08
Newton Iteration 8, Residual Norm: 9.999e-09
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Newton Iteration 1, Residual Norm: 1.006e-08
Newton Iteration 1, Residual Norm: 9.511e-09
Newton Iteration 1, Residual Norm: 8.285e-01
Newton Iteration 2, Residual Norm: 8.807e-04
Newton Iteration 3, Residual Norm: 1.544e-04
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Newton Iteration 7, Residual Norm: 4.714e-08
Newton Iteration 8, Residual Norm: 9.986e-09
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Newton Iteration 1, Residual Norm: 1.000e-08
Newton Iteration 1, Residual Norm: 9.902e-09
Newton Iteration 1, Residual Norm: 8.285e-01
Newton Iteration 2, Residual Norm: 1.075e-03
Newton Iteration 3, Residual Norm: 1.364e-04
Newton Iteration 4, Residual Norm: 9.597e-06
Newton Iteration 5, Residual Norm: 2.872e-06
Newton Iteration 6, Residual Norm: 1.555e-07
Newton Iteration 7, Residual Norm: 4.598e-08
Newton Iteration 8, Residual Norm: 9.991e-09
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Newton Iteration 1, Residual Norm: 9.969e-09
Newton Iteration 1, Residual Norm: 7.934e-09
Newton Iteration 1, Residual Norm: 8.288e-01
Newton Iteration 2, Residual Norm: 1.015e-03
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Newton Iteration 5, Residual Norm: 1.951e-06
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Newton Iteration 8, Residual Norm: 9.977e-09
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Newton Iteration 1, Residual Norm: 9.910e-09
Newton Iteration 1, Residual Norm: 9.963e-09
Newton Iteration 1, Residual Norm: 8.322e-01
Newton Iteration 2, Residual Norm: 1.424e-03
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Newton Iteration 7, Residual Norm: 3.723e-08
Newton Iteration 8, Residual Norm: 9.970e-09
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Newton Iteration 1, Residual Norm: 9.874e-09
Newton Iteration 1, Residual Norm: 9.313e-09
Newton Iteration 1, Residual Norm: 8.376e-01
Newton Iteration 2, Residual Norm: 1.950e-03
Newton Iteration 3, Residual Norm: 1.069e-04
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Newton Iteration 8, Residual Norm: 9.987e-09
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Newton Iteration 1, Residual Norm: 9.918e-09
Newton Iteration 1, Residual Norm: 8.308e-09
Newton Iteration 1, Residual Norm: 8.412e-01
Newton Iteration 2, Residual Norm: 3.595e-04
Newton Iteration 3, Residual Norm: 1.355e-04
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Newton Iteration 6, Residual Norm: 8.631e-08
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Newton Iteration 1, Residual Norm: 9.838e-09
Newton Iteration 1, Residual Norm: 9.755e-09
Newton Iteration 1, Residual Norm: 8.462e-01
Newton Iteration 2, Residual Norm: 3.320e-04
Newton Iteration 3, Residual Norm: 1.401e-04
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Newton Iteration 1, Residual Norm: 9.828e-09
Newton Iteration 1, Residual Norm: 9.357e-09
Newton Iteration 1, Residual Norm: 8.529e-01
Newton Iteration 2, Residual Norm: 3.388e-04
Newton Iteration 3, Residual Norm: 1.454e-04
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Newton Iteration 1, Residual Norm: 9.897e-09
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Newton Iteration 2, Residual Norm: 3.508e-04
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Newton Iteration 8, Residual Norm: 9.953e-09
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Newton Iteration 1, Residual Norm: 9.754e-09
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Newton Iteration 1, Residual Norm: 8.626e-01
Newton Iteration 2, Residual Norm: 5.793e-04
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Newton Iteration 8, Residual Norm: 9.976e-09
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Newton Iteration 1, Residual Norm: 9.738e-09
Newton Iteration 1, Residual Norm: 9.096e-09
Newton Iteration 1, Residual Norm: 8.669e-01
Newton Iteration 2, Residual Norm: 9.072e-04
Newton Iteration 3, Residual Norm: 1.390e-04
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Newton Iteration 1, Residual Norm: 9.714e-09
Newton Iteration 1, Residual Norm: 9.203e-09
Newton Iteration 1, Residual Norm: 8.707e-01
Newton Iteration 2, Residual Norm: 1.297e-03
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Newton Iteration 1, Residual Norm: 9.484e-09
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Newton Iteration 1, Residual Norm: 9.395e-09
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Newton Iteration 1, Residual Norm: 9.427e-09
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Newton Iteration 2, Residual Norm: 6.661e-03
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Newton Iteration 1, Residual Norm: 9.384e-09
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Newton Iteration 2, Residual Norm: 8.750e-03
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Newton Iteration 1, Residual Norm: 9.355e-09
Newton Iteration 1, Residual Norm: 9.534e-09
Newton Iteration 1, Residual Norm: 9.202e-01
Newton Iteration 2, Residual Norm: 1.081e-02
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Newton Iteration 1, Residual Norm: 9.365e-09
Newton Iteration 1, Residual Norm: 9.729e-09
Newton Iteration 1, Residual Norm: 9.237e-01
Newton Iteration 2, Residual Norm: 1.280e-02
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Newton Iteration 1, Residual Norm: 9.342e-09
Newton Iteration 1, Residual Norm: 8.848e-09
Newton Iteration 1, Residual Norm: 9.269e-01
Newton Iteration 2, Residual Norm: 1.477e-02
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Newton Iteration 1, Residual Norm: 9.323e-09
Newton Iteration 1, Residual Norm: 9.993e-09
Newton Iteration 1, Residual Norm: 9.312e-01
Newton Iteration 2, Residual Norm: 1.671e-02
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Newton Iteration 9, Residual Norm: 9.959e-09
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Newton Iteration 1, Residual Norm: 9.289e-09
Newton Iteration 1, Residual Norm: 9.591e-09
Newton Iteration 1, Residual Norm: 9.345e-01
Newton Iteration 2, Residual Norm: 1.859e-02
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Newton Iteration 1, Residual Norm: 9.355e-09
Newton Iteration 1, Residual Norm: 8.400e-09
Newton Iteration 1, Residual Norm: 9.346e-01
Newton Iteration 2, Residual Norm: 2.042e-02
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Newton Iteration 9, Residual Norm: 9.888e-09
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Newton Iteration 1, Residual Norm: 9.215e-09
Newton Iteration 1, Residual Norm: 8.991e-09
Newton Iteration 1, Residual Norm: 9.342e-01
Newton Iteration 2, Residual Norm: 2.221e-02
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Newton Iteration 1, Residual Norm: 9.222e-09
Newton Iteration 1, Residual Norm: 8.785e-09
Newton Iteration 1, Residual Norm: 9.332e-01
Newton Iteration 2, Residual Norm: 2.401e-02
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Newton Iteration 1, Residual Norm: 9.233e-09
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Newton Iteration 1, Residual Norm: 9.325e-01
Newton Iteration 2, Residual Norm: 2.572e-02
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Newton Iteration 1, Residual Norm: 9.146e-09
Newton Iteration 1, Residual Norm: 9.645e-09
Newton Iteration 1, Residual Norm: 9.349e-01
Newton Iteration 2, Residual Norm: 7.290e-04
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Newton Iteration 9, Residual Norm: 9.991e-09
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Newton Iteration 1, Residual Norm: 9.135e-09
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Newton Iteration 1, Residual Norm: 9.384e-01
Newton Iteration 2, Residual Norm: 7.255e-04
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Newton Iteration 1, Residual Norm: 9.151e-09
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Newton Iteration 1, Residual Norm: 9.423e-01
Newton Iteration 2, Residual Norm: 7.730e-04
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Newton Iteration 1, Residual Norm: 9.100e-09
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Newton Iteration 1, Residual Norm: 9.441e-01
Newton Iteration 2, Residual Norm: 7.494e-04
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Newton Iteration 1, Residual Norm: 9.113e-09
Newton Iteration 1, Residual Norm: 9.957e-09
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Newton Iteration 2, Residual Norm: 7.666e-04
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Newton Iteration 1, Residual Norm: 9.033e-09
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Newton Iteration 1, Residual Norm: 9.547e-01
Newton Iteration 2, Residual Norm: 7.692e-04
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Newton Iteration 1, Residual Norm: 9.076e-09
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Newton Iteration 2, Residual Norm: 7.737e-04
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Newton Iteration 1, Residual Norm: 9.040e-09
Newton Iteration 1, Residual Norm: 7.819e-09
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Newton Iteration 2, Residual Norm: 7.956e-04
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Newton Iteration 1, Residual Norm: 9.072e-09
Newton Iteration 1, Residual Norm: 9.449e-09
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Newton Iteration 2, Residual Norm: 8.075e-04
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Newton Iteration 1, Residual Norm: 8.995e-09
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Newton Iteration 1, Residual Norm: 8.985e-09
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Newton Iteration 1, Residual Norm: 9.853e-01
Newton Iteration 2, Residual Norm: 9.574e-04
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Newton Iteration 1, Residual Norm: 8.991e-09
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Newton Iteration 1, Residual Norm: 8.988e-09
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Newton Iteration 1, Residual Norm: 9.955e-01
Newton Iteration 2, Residual Norm: 1.235e-03
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Newton Iteration 1, Residual Norm: 8.936e-09
Newton Iteration 1, Residual Norm: 8.119e-09
Newton Iteration 1, Residual Norm: 1.002e+00
Newton Iteration 2, Residual Norm: 1.418e-03
Newton Iteration 3, Residual Norm: 2.424e-04
Newton Iteration 4, Residual Norm: 3.896e-05
Newton Iteration 5, Residual Norm: 5.851e-06
Newton Iteration 6, Residual Norm: 1.845e-06
Newton Iteration 7, Residual Norm: 1.926e-07
Newton Iteration 8, Residual Norm: 5.078e-08
Newton Iteration 9, Residual Norm: 9.908e-09
Iter 0: Res_d=8.12e-09, Res_u=9.91e-09
--- Time Step 183 ---
Newton Iteration 1, Residual Norm: 8.936e-09
Newton Iteration 1, Residual Norm: 9.225e-09
Newton Iteration 1, Residual Norm: 1.005e+00
Newton Iteration 2, Residual Norm: 1.581e-03
Newton Iteration 3, Residual Norm: 2.329e-04
Newton Iteration 4, Residual Norm: 3.670e-05
Newton Iteration 5, Residual Norm: 6.554e-06
Newton Iteration 6, Residual Norm: 1.122e-06
Newton Iteration 7, Residual Norm: 2.400e-07
Newton Iteration 8, Residual Norm: 8.600e-08
Newton Iteration 9, Residual Norm: 9.978e-09
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--- Time Step 184 ---
Newton Iteration 1, Residual Norm: 8.945e-09
Newton Iteration 1, Residual Norm: 9.938e-09
Newton Iteration 1, Residual Norm: 1.007e+00
Newton Iteration 2, Residual Norm: 1.773e-03
Newton Iteration 3, Residual Norm: 2.339e-04
Newton Iteration 4, Residual Norm: 3.448e-05
Newton Iteration 5, Residual Norm: 6.540e-06
Newton Iteration 6, Residual Norm: 1.501e-06
Newton Iteration 7, Residual Norm: 2.395e-07
Newton Iteration 8, Residual Norm: 4.320e-08
Newton Iteration 9, Residual Norm: 9.957e-09
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--- Time Step 185 ---
Newton Iteration 1, Residual Norm: 8.917e-09
Newton Iteration 1, Residual Norm: 9.929e-09
Newton Iteration 1, Residual Norm: 1.010e+00
Newton Iteration 2, Residual Norm: 1.989e-03
Newton Iteration 3, Residual Norm: 2.317e-04
Newton Iteration 4, Residual Norm: 3.799e-05
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Newton Iteration 6, Residual Norm: 8.947e-07
Newton Iteration 7, Residual Norm: 4.827e-07
Newton Iteration 8, Residual Norm: 2.626e-08
Newton Iteration 9, Residual Norm: 9.980e-09
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Newton Iteration 1, Residual Norm: 8.904e-09
Newton Iteration 1, Residual Norm: 7.824e-09
Newton Iteration 1, Residual Norm: 1.011e+00
Newton Iteration 2, Residual Norm: 1.075e-03
Newton Iteration 3, Residual Norm: 2.779e-04
Newton Iteration 4, Residual Norm: 2.786e-05
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Newton Iteration 6, Residual Norm: 9.368e-07
Newton Iteration 7, Residual Norm: 2.951e-07
Newton Iteration 8, Residual Norm: 3.608e-08
Newton Iteration 9, Residual Norm: 9.988e-09
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--- Time Step 187 ---
Newton Iteration 1, Residual Norm: 8.874e-09
Newton Iteration 1, Residual Norm: 8.845e-09
Newton Iteration 1, Residual Norm: 1.011e+00
Newton Iteration 2, Residual Norm: 1.123e-03
Newton Iteration 3, Residual Norm: 2.524e-04
Newton Iteration 4, Residual Norm: 4.197e-05
Newton Iteration 5, Residual Norm: 6.616e-06
Newton Iteration 6, Residual Norm: 1.332e-06
Newton Iteration 7, Residual Norm: 2.172e-07
Newton Iteration 8, Residual Norm: 4.725e-08
Newton Iteration 9, Residual Norm: 9.976e-09
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--- Time Step 188 ---
Newton Iteration 1, Residual Norm: 8.819e-09
Newton Iteration 1, Residual Norm: 9.162e-09
Newton Iteration 1, Residual Norm: 1.012e+00
Newton Iteration 2, Residual Norm: 1.174e-03
Newton Iteration 3, Residual Norm: 2.641e-04
Newton Iteration 4, Residual Norm: 2.867e-05
Newton Iteration 5, Residual Norm: 1.079e-05
Newton Iteration 6, Residual Norm: 8.333e-07
Newton Iteration 7, Residual Norm: 3.038e-07
Newton Iteration 8, Residual Norm: 3.354e-08
Newton Iteration 9, Residual Norm: 9.994e-09
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--- Time Step 189 ---
Newton Iteration 1, Residual Norm: 8.836e-09
Newton Iteration 1, Residual Norm: 9.786e-09
Newton Iteration 1, Residual Norm: 1.013e+00
Newton Iteration 2, Residual Norm: 1.242e-03
Newton Iteration 3, Residual Norm: 2.693e-04
Newton Iteration 4, Residual Norm: 3.342e-05
Newton Iteration 5, Residual Norm: 8.014e-06
Newton Iteration 6, Residual Norm: 9.727e-07
Newton Iteration 7, Residual Norm: 4.323e-07
Newton Iteration 8, Residual Norm: 3.041e-08
Newton Iteration 9, Residual Norm: 9.969e-09
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--- Time Step 190 ---
Newton Iteration 1, Residual Norm: 8.776e-09
Newton Iteration 1, Residual Norm: 9.130e-09
Newton Iteration 1, Residual Norm: 1.016e+00
Newton Iteration 2, Residual Norm: 1.303e-03
Newton Iteration 3, Residual Norm: 2.552e-04
Newton Iteration 4, Residual Norm: 3.352e-05
Newton Iteration 5, Residual Norm: 1.012e-05
Newton Iteration 6, Residual Norm: 1.005e-06
Newton Iteration 7, Residual Norm: 5.433e-07
Newton Iteration 8, Residual Norm: 2.551e-08
Newton Iteration 9, Residual Norm: 9.954e-09
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--- Time Step 191 ---
Newton Iteration 1, Residual Norm: 8.817e-09
Newton Iteration 1, Residual Norm: 9.301e-09
Newton Iteration 1, Residual Norm: 1.018e+00
Newton Iteration 2, Residual Norm: 1.389e-03
Newton Iteration 3, Residual Norm: 2.505e-04
Newton Iteration 4, Residual Norm: 4.426e-05
Newton Iteration 5, Residual Norm: 5.880e-06
Newton Iteration 6, Residual Norm: 2.032e-06
Newton Iteration 7, Residual Norm: 1.801e-07
Newton Iteration 8, Residual Norm: 6.684e-08
Newton Iteration 9, Residual Norm: 9.968e-09
Iter 0: Res_d=9.30e-09, Res_u=9.97e-09
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Newton Iteration 1, Residual Norm: 8.752e-09
Newton Iteration 1, Residual Norm: 9.324e-09
Newton Iteration 1, Residual Norm: 1.019e+00
Newton Iteration 2, Residual Norm: 1.488e-03
Newton Iteration 3, Residual Norm: 2.314e-04
Newton Iteration 4, Residual Norm: 4.821e-05
Newton Iteration 5, Residual Norm: 5.974e-06
Newton Iteration 6, Residual Norm: 1.190e-06
Newton Iteration 7, Residual Norm: 2.097e-07
Newton Iteration 8, Residual Norm: 6.776e-08
Newton Iteration 9, Residual Norm: 9.973e-09
Iter 0: Res_d=9.32e-09, Res_u=9.97e-09
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Newton Iteration 1, Residual Norm: 8.760e-09
Newton Iteration 1, Residual Norm: 9.252e-09
Newton Iteration 1, Residual Norm: 1.020e+00
Newton Iteration 2, Residual Norm: 1.613e-03
Newton Iteration 3, Residual Norm: 2.356e-04
Newton Iteration 4, Residual Norm: 3.514e-05
Newton Iteration 5, Residual Norm: 6.612e-06
Newton Iteration 6, Residual Norm: 1.159e-06
Newton Iteration 7, Residual Norm: 4.125e-07
Newton Iteration 8, Residual Norm: 3.007e-08
Newton Iteration 9, Residual Norm: 9.958e-09
Iter 0: Res_d=9.25e-09, Res_u=9.96e-09
--- Time Step 194 ---
Newton Iteration 1, Residual Norm: 8.771e-09
Newton Iteration 1, Residual Norm: 9.430e-09
Newton Iteration 1, Residual Norm: 1.020e+00
Newton Iteration 2, Residual Norm: 1.200e-03
Newton Iteration 3, Residual Norm: 2.381e-04
Newton Iteration 4, Residual Norm: 3.294e-05
Newton Iteration 5, Residual Norm: 1.110e-05
Newton Iteration 6, Residual Norm: 8.735e-07
Newton Iteration 7, Residual Norm: 2.557e-07
Newton Iteration 8, Residual Norm: 3.830e-08
Newton Iteration 9, Residual Norm: 9.974e-09
Iter 0: Res_d=9.43e-09, Res_u=9.97e-09
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Newton Iteration 1, Residual Norm: 8.787e-09
Newton Iteration 1, Residual Norm: 8.869e-09
Newton Iteration 1, Residual Norm: 1.021e+00
Newton Iteration 2, Residual Norm: 1.228e-03
Newton Iteration 3, Residual Norm: 2.641e-04
Newton Iteration 4, Residual Norm: 2.983e-05
Newton Iteration 5, Residual Norm: 7.421e-06
Newton Iteration 6, Residual Norm: 1.087e-06
Newton Iteration 7, Residual Norm: 3.645e-07
Newton Iteration 8, Residual Norm: 2.899e-08
Newton Iteration 9, Residual Norm: 9.978e-09
Iter 0: Res_d=8.87e-09, Res_u=9.98e-09
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Newton Iteration 1, Residual Norm: 8.735e-09
Newton Iteration 1, Residual Norm: 8.466e-09
Newton Iteration 1, Residual Norm: 1.022e+00
Newton Iteration 2, Residual Norm: 1.243e-03
Newton Iteration 3, Residual Norm: 2.636e-04
Newton Iteration 4, Residual Norm: 4.546e-05
Newton Iteration 5, Residual Norm: 5.693e-06
Newton Iteration 6, Residual Norm: 1.289e-06
Newton Iteration 7, Residual Norm: 1.758e-07
Newton Iteration 8, Residual Norm: 5.387e-08
Newton Iteration 9, Residual Norm: 9.956e-09
Iter 0: Res_d=8.47e-09, Res_u=9.96e-09
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Newton Iteration 1, Residual Norm: 8.706e-09
Newton Iteration 1, Residual Norm: 9.149e-09
Newton Iteration 1, Residual Norm: 1.024e+00
Newton Iteration 2, Residual Norm: 1.267e-03
Newton Iteration 3, Residual Norm: 2.483e-04
Newton Iteration 4, Residual Norm: 4.344e-05
Newton Iteration 5, Residual Norm: 7.186e-06
Newton Iteration 6, Residual Norm: 9.754e-07
Newton Iteration 7, Residual Norm: 4.015e-07
Newton Iteration 8, Residual Norm: 2.700e-08
Newton Iteration 9, Residual Norm: 9.929e-09
Iter 0: Res_d=9.15e-09, Res_u=9.93e-09
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Newton Iteration 1, Residual Norm: 8.684e-09
Newton Iteration 1, Residual Norm: 9.276e-09
Newton Iteration 1, Residual Norm: 1.025e+00
Newton Iteration 2, Residual Norm: 1.279e-03
Newton Iteration 3, Residual Norm: 2.293e-04
Newton Iteration 4, Residual Norm: 3.355e-05
Newton Iteration 5, Residual Norm: 6.713e-06
Newton Iteration 6, Residual Norm: 1.976e-06
Newton Iteration 7, Residual Norm: 1.523e-07
Newton Iteration 8, Residual Norm: 5.135e-08
Newton Iteration 9, Residual Norm: 9.931e-09
Iter 0: Res_d=9.28e-09, Res_u=9.93e-09
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Newton Iteration 1, Residual Norm: 8.686e-09
Newton Iteration 1, Residual Norm: 9.876e-09
Newton Iteration 1, Residual Norm: 1.027e+00
Newton Iteration 2, Residual Norm: 1.336e-03
Newton Iteration 3, Residual Norm: 2.401e-04
Newton Iteration 4, Residual Norm: 3.153e-05
Newton Iteration 5, Residual Norm: 6.898e-06
Newton Iteration 6, Residual Norm: 1.014e-06
Newton Iteration 7, Residual Norm: 4.663e-07
Newton Iteration 8, Residual Norm: 2.618e-08
Newton Iteration 9, Residual Norm: 9.937e-09
Iter 0: Res_d=9.88e-09, Res_u=9.94e-09
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Newton Iteration 1, Residual Norm: 8.687e-09
Newton Iteration 1, Residual Norm: 9.633e-09
Newton Iteration 1, Residual Norm: 1.029e+00
Newton Iteration 2, Residual Norm: 1.320e-03
Newton Iteration 3, Residual Norm: 2.329e-04
Newton Iteration 4, Residual Norm: 3.217e-05
Newton Iteration 5, Residual Norm: 6.733e-06
Newton Iteration 6, Residual Norm: 1.063e-06
Newton Iteration 7, Residual Norm: 3.171e-07
Newton Iteration 8, Residual Norm: 3.263e-08
Newton Iteration 9, Residual Norm: 9.976e-09
Iter 0: Res_d=9.63e-09, Res_u=9.98e-09
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Newton Iteration 1, Residual Norm: 8.672e-09
Newton Iteration 1, Residual Norm: 9.226e-09
Newton Iteration 1, Residual Norm: 1.032e+00
Newton Iteration 2, Residual Norm: 1.385e-03
Newton Iteration 3, Residual Norm: 2.310e-04
Newton Iteration 4, Residual Norm: 4.450e-05
Newton Iteration 5, Residual Norm: 5.319e-06
Newton Iteration 6, Residual Norm: 1.210e-06
Newton Iteration 7, Residual Norm: 2.601e-07
Newton Iteration 8, Residual Norm: 3.427e-08
Newton Iteration 9, Residual Norm: 9.971e-09
Iter 0: Res_d=9.23e-09, Res_u=9.97e-09
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Newton Iteration 1, Residual Norm: 8.608e-09
Newton Iteration 1, Residual Norm: 9.513e-09
Newton Iteration 1, Residual Norm: 1.035e+00
Newton Iteration 2, Residual Norm: 1.415e-03
Newton Iteration 3, Residual Norm: 2.456e-04
Newton Iteration 4, Residual Norm: 3.624e-05
Newton Iteration 5, Residual Norm: 7.060e-06
Newton Iteration 6, Residual Norm: 1.042e-06
Newton Iteration 7, Residual Norm: 2.520e-07
Newton Iteration 8, Residual Norm: 3.969e-08
Newton Iteration 9, Residual Norm: 9.951e-09
Iter 0: Res_d=9.51e-09, Res_u=9.95e-09
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Newton Iteration 1, Residual Norm: 8.640e-09
Newton Iteration 1, Residual Norm: 9.913e-09
Newton Iteration 1, Residual Norm: 1.037e+00
Newton Iteration 2, Residual Norm: 1.504e-03
Newton Iteration 3, Residual Norm: 2.435e-04
Newton Iteration 4, Residual Norm: 3.529e-05
Newton Iteration 5, Residual Norm: 7.016e-06
Newton Iteration 6, Residual Norm: 1.044e-06
Newton Iteration 7, Residual Norm: 3.146e-07
Newton Iteration 8, Residual Norm: 3.382e-08
Newton Iteration 9, Residual Norm: 9.935e-09
Iter 0: Res_d=9.91e-09, Res_u=9.93e-09
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Newton Iteration 1, Residual Norm: 8.622e-09
Newton Iteration 1, Residual Norm: 8.466e-09
Newton Iteration 1, Residual Norm: 1.039e+00
Newton Iteration 2, Residual Norm: 1.613e-03
Newton Iteration 3, Residual Norm: 2.380e-04
Newton Iteration 4, Residual Norm: 3.499e-05
Newton Iteration 5, Residual Norm: 1.040e-05
Newton Iteration 6, Residual Norm: 1.059e-06
Newton Iteration 7, Residual Norm: 2.278e-07
Newton Iteration 8, Residual Norm: 3.829e-08
Newton Iteration 9, Residual Norm: 9.997e-09
Iter 0: Res_d=8.47e-09, Res_u=1.00e-08
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Newton Iteration 1, Residual Norm: 8.619e-09
Newton Iteration 1, Residual Norm: 9.072e-09
Newton Iteration 1, Residual Norm: 1.042e+00
Newton Iteration 2, Residual Norm: 1.369e-03
Newton Iteration 3, Residual Norm: 2.346e-04
Newton Iteration 4, Residual Norm: 3.360e-05
Newton Iteration 5, Residual Norm: 7.509e-06
Newton Iteration 6, Residual Norm: 1.821e-06
Newton Iteration 7, Residual Norm: 2.114e-07
Newton Iteration 8, Residual Norm: 4.295e-08
Newton Iteration 9, Residual Norm: 9.978e-09
Iter 0: Res_d=9.07e-09, Res_u=9.98e-09
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Newton Iteration 1, Residual Norm: 8.609e-09
Newton Iteration 1, Residual Norm: 9.471e-09
Newton Iteration 1, Residual Norm: 1.045e+00
Newton Iteration 2, Residual Norm: 1.380e-03
Newton Iteration 3, Residual Norm: 2.354e-04
Newton Iteration 4, Residual Norm: 3.353e-05
Newton Iteration 5, Residual Norm: 8.114e-06
Newton Iteration 6, Residual Norm: 1.072e-06
Newton Iteration 7, Residual Norm: 5.024e-07
Newton Iteration 8, Residual Norm: 2.785e-08
Newton Iteration 9, Residual Norm: 9.996e-09
Iter 0: Res_d=9.47e-09, Res_u=1.00e-08
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Newton Iteration 1, Residual Norm: 8.603e-09
Newton Iteration 1, Residual Norm: 8.768e-09
Newton Iteration 1, Residual Norm: 1.048e+00
Newton Iteration 2, Residual Norm: 1.420e-03
Newton Iteration 3, Residual Norm: 2.266e-04
Newton Iteration 4, Residual Norm: 4.639e-05
Newton Iteration 5, Residual Norm: 5.295e-06
Newton Iteration 6, Residual Norm: 1.384e-06
Newton Iteration 7, Residual Norm: 1.862e-07
Newton Iteration 8, Residual Norm: 5.971e-08
Newton Iteration 9, Residual Norm: 9.960e-09
Iter 0: Res_d=8.77e-09, Res_u=9.96e-09
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Newton Iteration 1, Residual Norm: 8.626e-09
Newton Iteration 1, Residual Norm: 9.700e-09
Newton Iteration 1, Residual Norm: 1.052e+00
Newton Iteration 2, Residual Norm: 1.428e-03
Newton Iteration 3, Residual Norm: 2.344e-04
Newton Iteration 4, Residual Norm: 3.770e-05
Newton Iteration 5, Residual Norm: 1.064e-05
Newton Iteration 6, Residual Norm: 9.177e-07
Newton Iteration 7, Residual Norm: 3.213e-07
Newton Iteration 8, Residual Norm: 3.357e-08
Newton Iteration 9, Residual Norm: 9.974e-09
Iter 0: Res_d=9.70e-09, Res_u=9.97e-09
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Newton Iteration 1, Residual Norm: 8.575e-09
Newton Iteration 1, Residual Norm: 9.485e-09
Newton Iteration 1, Residual Norm: 1.055e+00
Newton Iteration 2, Residual Norm: 1.469e-03
Newton Iteration 3, Residual Norm: 2.396e-04
Newton Iteration 4, Residual Norm: 3.642e-05
Newton Iteration 5, Residual Norm: 7.393e-06
Newton Iteration 6, Residual Norm: 1.457e-06
Newton Iteration 7, Residual Norm: 2.152e-07
Newton Iteration 8, Residual Norm: 5.764e-08
Newton Iteration 9, Residual Norm: 9.978e-09
Iter 0: Res_d=9.49e-09, Res_u=9.98e-09
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Newton Iteration 1, Residual Norm: 8.598e-09
Newton Iteration 1, Residual Norm: 9.931e-09
Newton Iteration 1, Residual Norm: 1.058e+00
Newton Iteration 2, Residual Norm: 1.455e-03
Newton Iteration 3, Residual Norm: 2.470e-04
Newton Iteration 4, Residual Norm: 3.296e-05
Newton Iteration 5, Residual Norm: 7.332e-06
Newton Iteration 6, Residual Norm: 1.091e-06
Newton Iteration 7, Residual Norm: 2.889e-07
Newton Iteration 8, Residual Norm: 3.594e-08
Newton Iteration 9, Residual Norm: 9.993e-09
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Newton Iteration 1, Residual Norm: 8.536e-09
Newton Iteration 1, Residual Norm: 8.399e-09
Newton Iteration 1, Residual Norm: 1.059e+00
Newton Iteration 2, Residual Norm: 1.469e-03
Newton Iteration 3, Residual Norm: 2.419e-04
Newton Iteration 4, Residual Norm: 4.015e-05
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Newton Iteration 6, Residual Norm: 1.095e-06
Newton Iteration 7, Residual Norm: 2.409e-07
Newton Iteration 8, Residual Norm: 8.702e-08
Newton Iteration 9, Residual Norm: 9.988e-09
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Newton Iteration 1, Residual Norm: 8.510e-09
Newton Iteration 1, Residual Norm: 8.457e-09
Newton Iteration 1, Residual Norm: 1.061e+00
Newton Iteration 2, Residual Norm: 1.486e-03
Newton Iteration 3, Residual Norm: 2.408e-04
Newton Iteration 4, Residual Norm: 3.235e-05
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Newton Iteration 6, Residual Norm: 8.872e-07
Newton Iteration 7, Residual Norm: 2.686e-07
Newton Iteration 8, Residual Norm: 3.630e-08
Newton Iteration 9, Residual Norm: 9.937e-09
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Newton Iteration 1, Residual Norm: 8.521e-09
Newton Iteration 1, Residual Norm: 8.720e-09
Newton Iteration 1, Residual Norm: 1.064e+00
Newton Iteration 2, Residual Norm: 1.529e-03
Newton Iteration 3, Residual Norm: 2.402e-04
Newton Iteration 4, Residual Norm: 3.211e-05
Newton Iteration 5, Residual Norm: 9.476e-06
Newton Iteration 6, Residual Norm: 9.364e-07
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Newton Iteration 9, Residual Norm: 9.945e-09
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Newton Iteration 1, Residual Norm: 8.498e-09
Newton Iteration 1, Residual Norm: 9.578e-09
Newton Iteration 1, Residual Norm: 1.068e+00
Newton Iteration 2, Residual Norm: 1.555e-03
Newton Iteration 3, Residual Norm: 2.410e-04
Newton Iteration 4, Residual Norm: 3.640e-05
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Newton Iteration 6, Residual Norm: 8.114e-07
Newton Iteration 7, Residual Norm: 2.783e-07
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Newton Iteration 9, Residual Norm: 9.983e-09
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Newton Iteration 1, Residual Norm: 8.502e-09
Newton Iteration 1, Residual Norm: 9.197e-09
Newton Iteration 1, Residual Norm: 1.070e+00
Newton Iteration 2, Residual Norm: 1.608e-03
Newton Iteration 3, Residual Norm: 2.425e-04
Newton Iteration 4, Residual Norm: 3.807e-05
Newton Iteration 5, Residual Norm: 6.608e-06
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Newton Iteration 9, Residual Norm: 9.993e-09
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Newton Iteration 1, Residual Norm: 8.535e-09
Newton Iteration 1, Residual Norm: 9.485e-09
Newton Iteration 1, Residual Norm: 1.071e+00
Newton Iteration 2, Residual Norm: 2.371e-03
Newton Iteration 3, Residual Norm: 2.467e-04
Newton Iteration 4, Residual Norm: 3.922e-05
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Newton Iteration 6, Residual Norm: 1.180e-06
Newton Iteration 7, Residual Norm: 2.279e-07
Newton Iteration 8, Residual Norm: 4.199e-08
Newton Iteration 9, Residual Norm: 9.963e-09
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Newton Iteration 1, Residual Norm: 7.941e-09
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Newton Iteration 9, Residual Norm: 9.998e-09
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Newton Iteration 1, Residual Norm: 8.452e-09
Newton Iteration 1, Residual Norm: 9.874e-09
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Newton Iteration 8, Residual Norm: 3.896e-08
Newton Iteration 9, Residual Norm: 9.983e-09
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Newton Iteration 1, Residual Norm: 8.428e-09
Newton Iteration 1, Residual Norm: 9.482e-09
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Newton Iteration 2, Residual Norm: 8.530e-03
Newton Iteration 3, Residual Norm: 2.654e-04
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Newton Iteration 7, Residual Norm: 2.240e-07
Newton Iteration 8, Residual Norm: 4.970e-08
Newton Iteration 9, Residual Norm: 9.987e-09
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Newton Iteration 1, Residual Norm: 8.449e-09
Newton Iteration 1, Residual Norm: 9.200e-09
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Newton Iteration 2, Residual Norm: 1.060e-02
Newton Iteration 3, Residual Norm: 2.667e-04
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Newton Iteration 8, Residual Norm: 5.088e-08
Newton Iteration 9, Residual Norm: 9.998e-09
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Newton Iteration 1, Residual Norm: 8.399e-09
Newton Iteration 1, Residual Norm: 9.730e-09
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Newton Iteration 2, Residual Norm: 1.272e-02
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Newton Iteration 7, Residual Norm: 2.587e-07
Newton Iteration 8, Residual Norm: 3.536e-08
Newton Iteration 9, Residual Norm: 9.996e-09
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Newton Iteration 1, Residual Norm: 8.443e-09
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Newton Iteration 1, Residual Norm: 1.092e+00
Newton Iteration 2, Residual Norm: 1.486e-02
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Newton Iteration 8, Residual Norm: 3.830e-08
Newton Iteration 9, Residual Norm: 9.949e-09
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Newton Iteration 1, Residual Norm: 8.416e-09
Newton Iteration 1, Residual Norm: 8.558e-09
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Newton Iteration 2, Residual Norm: 1.712e-02
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Newton Iteration 7, Residual Norm: 2.998e-07
Newton Iteration 8, Residual Norm: 3.881e-08
Newton Iteration 9, Residual Norm: 9.972e-09
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Newton Iteration 1, Residual Norm: 8.382e-09
Newton Iteration 1, Residual Norm: 9.133e-09
Newton Iteration 1, Residual Norm: 1.099e+00
Newton Iteration 2, Residual Norm: 1.916e-02
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Newton Iteration 6, Residual Norm: 1.361e-06
Newton Iteration 7, Residual Norm: 2.738e-07
Newton Iteration 8, Residual Norm: 4.332e-08
Newton Iteration 9, Residual Norm: 9.985e-09
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Newton Iteration 1, Residual Norm: 8.395e-09
Newton Iteration 1, Residual Norm: 9.266e-09
Newton Iteration 1, Residual Norm: 1.104e+00
Newton Iteration 2, Residual Norm: 2.106e-02
Newton Iteration 3, Residual Norm: 2.731e-04
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Newton Iteration 6, Residual Norm: 1.348e-06
Newton Iteration 7, Residual Norm: 2.754e-07
Newton Iteration 8, Residual Norm: 4.208e-08
Newton Iteration 9, Residual Norm: 9.994e-09
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Newton Iteration 1, Residual Norm: 8.359e-09
Newton Iteration 1, Residual Norm: 8.609e-09
Newton Iteration 1, Residual Norm: 1.109e+00
Newton Iteration 2, Residual Norm: 2.302e-02
Newton Iteration 3, Residual Norm: 2.502e-04
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Newton Iteration 6, Residual Norm: 2.209e-06
Newton Iteration 7, Residual Norm: 1.789e-07
Newton Iteration 8, Residual Norm: 6.529e-08
Newton Iteration 9, Residual Norm: 9.972e-09
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Newton Iteration 1, Residual Norm: 8.362e-09
Newton Iteration 1, Residual Norm: 8.797e-09
Newton Iteration 1, Residual Norm: 1.114e+00
Newton Iteration 2, Residual Norm: 2.497e-02
Newton Iteration 3, Residual Norm: 2.749e-04
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Newton Iteration 6, Residual Norm: 1.325e-06
Newton Iteration 7, Residual Norm: 3.017e-07
Newton Iteration 8, Residual Norm: 9.015e-08
Newton Iteration 9, Residual Norm: 9.987e-09
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Newton Iteration 1, Residual Norm: 8.382e-09
Newton Iteration 1, Residual Norm: 9.863e-09
Newton Iteration 1, Residual Norm: 1.119e+00
Newton Iteration 2, Residual Norm: 2.689e-02
Newton Iteration 3, Residual Norm: 2.599e-04
Newton Iteration 4, Residual Norm: 5.711e-05
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Newton Iteration 6, Residual Norm: 1.988e-06
Newton Iteration 7, Residual Norm: 1.876e-07
Newton Iteration 8, Residual Norm: 8.803e-08
Newton Iteration 9, Residual Norm: 9.981e-09
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Newton Iteration 1, Residual Norm: 8.403e-09
Newton Iteration 1, Residual Norm: 8.919e-09
Newton Iteration 1, Residual Norm: 1.125e+00
Newton Iteration 2, Residual Norm: 2.878e-02
Newton Iteration 3, Residual Norm: 2.569e-04
Newton Iteration 4, Residual Norm: 5.810e-05
Newton Iteration 5, Residual Norm: 5.861e-06
Newton Iteration 6, Residual Norm: 1.782e-06
Newton Iteration 7, Residual Norm: 2.084e-07
Newton Iteration 8, Residual Norm: 6.486e-08
Newton Iteration 9, Residual Norm: 9.947e-09
Iter 0: Res_d=8.92e-09, Res_u=9.95e-09
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Newton Iteration 1, Residual Norm: 8.332e-09
Newton Iteration 1, Residual Norm: 8.377e-09
Newton Iteration 1, Residual Norm: 1.130e+00
Newton Iteration 2, Residual Norm: 3.064e-02
Newton Iteration 3, Residual Norm: 2.597e-04
Newton Iteration 4, Residual Norm: 3.781e-05
Newton Iteration 5, Residual Norm: 1.017e-05
Newton Iteration 6, Residual Norm: 1.172e-06
Newton Iteration 7, Residual Norm: 2.986e-07
Newton Iteration 8, Residual Norm: 4.512e-08
Newton Iteration 9, Residual Norm: 9.998e-09
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Newton Iteration 1, Residual Norm: 8.360e-09
Newton Iteration 1, Residual Norm: 9.086e-09
Newton Iteration 1, Residual Norm: 1.136e+00
Newton Iteration 2, Residual Norm: 3.239e-02
Newton Iteration 3, Residual Norm: 2.792e-04
Newton Iteration 4, Residual Norm: 4.400e-05
Newton Iteration 5, Residual Norm: 7.286e-06
Newton Iteration 6, Residual Norm: 1.464e-06
Newton Iteration 7, Residual Norm: 2.671e-07
Newton Iteration 8, Residual Norm: 5.526e-08
Newton Iteration 9, Residual Norm: 9.964e-09
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Newton Iteration 1, Residual Norm: 8.347e-09
Newton Iteration 1, Residual Norm: 9.218e-09
Newton Iteration 1, Residual Norm: 1.141e+00
Newton Iteration 2, Residual Norm: 1.912e-03
Newton Iteration 3, Residual Norm: 2.574e-04
Newton Iteration 4, Residual Norm: 4.231e-05
Newton Iteration 5, Residual Norm: 7.585e-06
Newton Iteration 6, Residual Norm: 1.498e-06
Newton Iteration 7, Residual Norm: 3.486e-07
Newton Iteration 8, Residual Norm: 5.473e-08
Newton Iteration 9, Residual Norm: 9.952e-09
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Newton Iteration 1, Residual Norm: 8.350e-09
Newton Iteration 1, Residual Norm: 9.228e-09
Newton Iteration 1, Residual Norm: 1.147e+00
Newton Iteration 2, Residual Norm: 1.932e-03
Newton Iteration 3, Residual Norm: 2.622e-04
Newton Iteration 4, Residual Norm: 4.127e-05
Newton Iteration 5, Residual Norm: 7.836e-06
Newton Iteration 6, Residual Norm: 2.272e-06
Newton Iteration 7, Residual Norm: 2.528e-07
Newton Iteration 8, Residual Norm: 7.740e-08
Newton Iteration 9, Residual Norm: 9.939e-09
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Newton Iteration 1, Residual Norm: 8.320e-09
Newton Iteration 1, Residual Norm: 9.899e-09
Newton Iteration 1, Residual Norm: 1.153e+00
Newton Iteration 2, Residual Norm: 1.939e-03
Newton Iteration 3, Residual Norm: 2.876e-04
Newton Iteration 4, Residual Norm: 4.147e-05
Newton Iteration 5, Residual Norm: 1.423e-05
Newton Iteration 6, Residual Norm: 1.219e-06
Newton Iteration 7, Residual Norm: 3.785e-07
Newton Iteration 8, Residual Norm: 6.517e-08
Newton Iteration 9, Residual Norm: 9.931e-09
Iter 0: Res_d=9.90e-09, Res_u=9.93e-09
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Newton Iteration 1, Residual Norm: 8.273e-09
Newton Iteration 1, Residual Norm: 8.599e-09
Newton Iteration 1, Residual Norm: 1.159e+00
Newton Iteration 2, Residual Norm: 1.963e-03
Newton Iteration 3, Residual Norm: 3.163e-04
Newton Iteration 4, Residual Norm: 3.758e-05
Newton Iteration 5, Residual Norm: 9.602e-06
Newton Iteration 6, Residual Norm: 1.526e-06
Newton Iteration 7, Residual Norm: 3.226e-07
Newton Iteration 8, Residual Norm: 5.411e-08
Newton Iteration 9, Residual Norm: 9.999e-09
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Newton Iteration 1, Residual Norm: 8.234e-09
Newton Iteration 1, Residual Norm: 9.278e-09
Newton Iteration 1, Residual Norm: 1.163e+00
Newton Iteration 2, Residual Norm: 1.988e-03
Newton Iteration 3, Residual Norm: 2.984e-04
Newton Iteration 4, Residual Norm: 4.210e-05
Newton Iteration 5, Residual Norm: 1.286e-05
Newton Iteration 6, Residual Norm: 1.253e-06
Newton Iteration 7, Residual Norm: 5.157e-07
Newton Iteration 8, Residual Norm: 4.733e-08
Newton Iteration 9, Residual Norm: 9.985e-09
Iter 0: Res_d=9.28e-09, Res_u=9.99e-09
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Newton Iteration 1, Residual Norm: 8.292e-09
Newton Iteration 1, Residual Norm: 8.909e-09
Newton Iteration 1, Residual Norm: 1.167e+00
Newton Iteration 2, Residual Norm: 2.016e-03
Newton Iteration 3, Residual Norm: 3.059e-04
Newton Iteration 4, Residual Norm: 4.228e-05
Newton Iteration 5, Residual Norm: 9.895e-06
Newton Iteration 6, Residual Norm: 1.563e-06
Newton Iteration 7, Residual Norm: 3.987e-07
Newton Iteration 8, Residual Norm: 5.423e-08
Newton Iteration 9, Residual Norm: 9.992e-09
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Newton Iteration 1, Residual Norm: 8.235e-09
Newton Iteration 1, Residual Norm: 7.853e-09
Newton Iteration 1, Residual Norm: 1.169e+00
Newton Iteration 2, Residual Norm: 2.036e-03
Newton Iteration 3, Residual Norm: 3.091e-04
Newton Iteration 4, Residual Norm: 4.296e-05
Newton Iteration 5, Residual Norm: 1.518e-05
Newton Iteration 6, Residual Norm: 1.210e-06
Newton Iteration 7, Residual Norm: 4.730e-07
Newton Iteration 8, Residual Norm: 4.872e-08
Newton Iteration 9, Residual Norm: 9.990e-09
Iter 0: Res_d=7.85e-09, Res_u=9.99e-09
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Newton Iteration 1, Residual Norm: 8.256e-09
Newton Iteration 1, Residual Norm: 9.960e-09
Newton Iteration 1, Residual Norm: 1.170e+00
Newton Iteration 2, Residual Norm: 2.046e-03
Newton Iteration 3, Residual Norm: 3.109e-04
Newton Iteration 4, Residual Norm: 5.890e-05
Newton Iteration 5, Residual Norm: 7.854e-06
Newton Iteration 6, Residual Norm: 1.949e-06
Newton Iteration 7, Residual Norm: 3.088e-07
Newton Iteration 8, Residual Norm: 7.861e-08
Newton Iteration 9, Residual Norm: 9.992e-09
Iter 0: Res_d=9.96e-09, Res_u=9.99e-09
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Newton Iteration 1, Residual Norm: 8.238e-09
Newton Iteration 1, Residual Norm: 9.955e-09
Newton Iteration 1, Residual Norm: 1.170e+00
Newton Iteration 2, Residual Norm: 2.058e-03
Newton Iteration 3, Residual Norm: 3.145e-04
Newton Iteration 4, Residual Norm: 4.322e-05
Newton Iteration 5, Residual Norm: 1.027e-05
Newton Iteration 6, Residual Norm: 1.807e-06
Newton Iteration 7, Residual Norm: 3.475e-07
Newton Iteration 8, Residual Norm: 9.783e-08
Newton Iteration 9, Residual Norm: 9.928e-09
Iter 0: Res_d=9.95e-09, Res_u=9.93e-09
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Newton Iteration 1, Residual Norm: 8.168e-09
Newton Iteration 1, Residual Norm: 9.223e-09
Newton Iteration 1, Residual Norm: 1.172e+00
Newton Iteration 2, Residual Norm: 2.075e-03
Newton Iteration 3, Residual Norm: 3.453e-04
Newton Iteration 4, Residual Norm: 3.908e-05
Newton Iteration 5, Residual Norm: 1.054e-05
Newton Iteration 6, Residual Norm: 1.486e-06
Newton Iteration 7, Residual Norm: 7.702e-07
Newton Iteration 8, Residual Norm: 4.383e-08
Newton Iteration 9, Residual Norm: 9.975e-09
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Newton Iteration 1, Residual Norm: 8.269e-09
Newton Iteration 1, Residual Norm: 9.484e-09
Newton Iteration 1, Residual Norm: 1.172e+00
Newton Iteration 2, Residual Norm: 2.120e-03
Newton Iteration 3, Residual Norm: 3.130e-04
Newton Iteration 4, Residual Norm: 4.462e-05
Newton Iteration 5, Residual Norm: 1.021e-05
Newton Iteration 6, Residual Norm: 1.674e-06
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Newton Iteration 8, Residual Norm: 1.041e-07
Newton Iteration 9, Residual Norm: 9.954e-09
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Newton Iteration 1, Residual Norm: 8.241e-09
Newton Iteration 1, Residual Norm: 8.864e-09
Newton Iteration 1, Residual Norm: 1.170e+00
Newton Iteration 2, Residual Norm: 2.236e-03
Newton Iteration 3, Residual Norm: 2.923e-04
Newton Iteration 4, Residual Norm: 4.872e-05
Newton Iteration 5, Residual Norm: 1.427e-05
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Newton Iteration 8, Residual Norm: 1.029e-07
Newton Iteration 9, Residual Norm: 9.996e-09
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Newton Iteration 1, Residual Norm: 8.160e-09
Newton Iteration 1, Residual Norm: 9.510e-09
Newton Iteration 1, Residual Norm: 1.168e+00
Newton Iteration 2, Residual Norm: 2.158e-03
Newton Iteration 3, Residual Norm: 3.171e-04
Newton Iteration 4, Residual Norm: 4.498e-05
Newton Iteration 5, Residual Norm: 1.034e-05
Newton Iteration 6, Residual Norm: 3.002e-06
Newton Iteration 7, Residual Norm: 3.105e-07
Newton Iteration 8, Residual Norm: 6.774e-08
Newton Iteration 9, Residual Norm: 9.989e-09
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Newton Iteration 1, Residual Norm: 8.210e-09
Newton Iteration 1, Residual Norm: 9.248e-09
Newton Iteration 1, Residual Norm: 1.165e+00
Newton Iteration 2, Residual Norm: 2.301e-03
Newton Iteration 3, Residual Norm: 3.095e-04
Newton Iteration 4, Residual Norm: 6.200e-05
Newton Iteration 5, Residual Norm: 7.789e-06
Newton Iteration 6, Residual Norm: 3.117e-06
Newton Iteration 7, Residual Norm: 2.458e-07
Newton Iteration 8, Residual Norm: 1.587e-07
Newton Iteration 9, Residual Norm: 9.962e-09
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Newton Iteration 1, Residual Norm: 8.245e-09
Newton Iteration 1, Residual Norm: 9.827e-09
Newton Iteration 1, Residual Norm: 1.162e+00
Newton Iteration 2, Residual Norm: 2.387e-03
Newton Iteration 3, Residual Norm: 3.117e-04
Newton Iteration 4, Residual Norm: 5.874e-05
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Newton Iteration 6, Residual Norm: 1.589e-06
Newton Iteration 7, Residual Norm: 5.906e-07
Newton Iteration 8, Residual Norm: 5.782e-08
Newton Iteration 9, Residual Norm: 9.965e-09
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Newton Iteration 1, Residual Norm: 8.238e-09
Newton Iteration 1, Residual Norm: 8.435e-09
Newton Iteration 1, Residual Norm: 1.158e+00
Newton Iteration 2, Residual Norm: 2.148e-03
Newton Iteration 3, Residual Norm: 3.462e-04
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Newton Iteration 9, Residual Norm: 9.985e-09
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Newton Iteration 1, Residual Norm: 8.155e-09
Newton Iteration 1, Residual Norm: 8.544e-09
Newton Iteration 1, Residual Norm: 1.154e+00
Newton Iteration 2, Residual Norm: 2.154e-03
Newton Iteration 3, Residual Norm: 3.453e-04
Newton Iteration 4, Residual Norm: 4.397e-05
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Newton Iteration 7, Residual Norm: 4.652e-07
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Newton Iteration 9, Residual Norm: 9.995e-09
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Newton Iteration 1, Residual Norm: 8.147e-09
Newton Iteration 1, Residual Norm: 8.837e-09
Newton Iteration 1, Residual Norm: 1.154e+00
Newton Iteration 2, Residual Norm: 2.157e-03
Newton Iteration 3, Residual Norm: 3.227e-04
Newton Iteration 4, Residual Norm: 6.077e-05
Newton Iteration 5, Residual Norm: 8.185e-06
Newton Iteration 6, Residual Norm: 2.049e-06
Newton Iteration 7, Residual Norm: 3.357e-07
Newton Iteration 8, Residual Norm: 8.494e-08
Newton Iteration 9, Residual Norm: 9.987e-09
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Newton Iteration 1, Residual Norm: 8.191e-09
Newton Iteration 1, Residual Norm: 9.508e-09
Newton Iteration 1, Residual Norm: 1.153e+00
Newton Iteration 2, Residual Norm: 2.148e-03
Newton Iteration 3, Residual Norm: 3.216e-04
Newton Iteration 4, Residual Norm: 6.006e-05
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Newton Iteration 9, Residual Norm: 9.990e-09
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Newton Iteration 1, Residual Norm: 8.181e-09
Newton Iteration 1, Residual Norm: 8.835e-09
Newton Iteration 1, Residual Norm: 1.152e+00
Newton Iteration 2, Residual Norm: 2.177e-03
Newton Iteration 3, Residual Norm: 3.227e-04
Newton Iteration 4, Residual Norm: 5.325e-05
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Newton Iteration 6, Residual Norm: 1.674e-06
Newton Iteration 7, Residual Norm: 3.973e-07
Newton Iteration 8, Residual Norm: 1.351e-07
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Newton Iteration 10, Residual Norm: 9.899e-09
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Newton Iteration 1, Residual Norm: 8.165e-09
Newton Iteration 1, Residual Norm: 9.678e-09
Newton Iteration 1, Residual Norm: 1.152e+00
Newton Iteration 2, Residual Norm: 2.198e-03
Newton Iteration 3, Residual Norm: 3.223e-04
Newton Iteration 4, Residual Norm: 4.277e-05
Newton Iteration 5, Residual Norm: 1.080e-05
Newton Iteration 6, Residual Norm: 2.990e-06
Newton Iteration 7, Residual Norm: 2.901e-07
Newton Iteration 8, Residual Norm: 1.033e-07
Newton Iteration 9, Residual Norm: 1.348e-08
Newton Iteration 10, Residual Norm: 9.914e-09
Iter 0: Res_d=9.68e-09, Res_u=9.91e-09
--- Time Step 253 ---
Newton Iteration 1, Residual Norm: 8.108e-09
Newton Iteration 1, Residual Norm: 8.318e-09
Newton Iteration 1, Residual Norm: 1.153e+00
Newton Iteration 2, Residual Norm: 2.234e-03
Newton Iteration 3, Residual Norm: 3.198e-04
Newton Iteration 4, Residual Norm: 4.407e-05
Newton Iteration 5, Residual Norm: 1.072e-05
Newton Iteration 6, Residual Norm: 3.270e-06
Newton Iteration 7, Residual Norm: 2.630e-07
Newton Iteration 8, Residual Norm: 1.195e-07
Newton Iteration 9, Residual Norm: 1.149e-08
Newton Iteration 10, Residual Norm: 9.957e-09
Iter 0: Res_d=8.32e-09, Res_u=9.96e-09
--- Time Step 254 ---
Newton Iteration 1, Residual Norm: 8.111e-09
Newton Iteration 1, Residual Norm: 8.737e-09
Newton Iteration 1, Residual Norm: 1.151e+00
Newton Iteration 2, Residual Norm: 2.241e-03
Newton Iteration 3, Residual Norm: 3.289e-04
Newton Iteration 4, Residual Norm: 4.424e-05
Newton Iteration 5, Residual Norm: 1.074e-05
Newton Iteration 6, Residual Norm: 1.761e-06
Newton Iteration 7, Residual Norm: 4.768e-07
Newton Iteration 8, Residual Norm: 6.718e-08
Newton Iteration 9, Residual Norm: 2.212e-08
Newton Iteration 10, Residual Norm: 9.950e-09
Iter 0: Res_d=8.74e-09, Res_u=9.95e-09
--- Time Step 255 ---
Newton Iteration 1, Residual Norm: 8.157e-09
Newton Iteration 1, Residual Norm: 9.567e-09
Newton Iteration 1, Residual Norm: 1.149e+00
Newton Iteration 2, Residual Norm: 2.303e-03
Newton Iteration 3, Residual Norm: 3.017e-04
Newton Iteration 4, Residual Norm: 5.556e-05
Newton Iteration 5, Residual Norm: 8.521e-06
Newton Iteration 6, Residual Norm: 2.687e-06
Newton Iteration 7, Residual Norm: 3.317e-07
Newton Iteration 8, Residual Norm: 1.110e-07
Newton Iteration 9, Residual Norm: 1.321e-08
Newton Iteration 10, Residual Norm: 9.986e-09
Iter 0: Res_d=9.57e-09, Res_u=9.99e-09
--- Time Step 256 ---
Newton Iteration 1, Residual Norm: 8.165e-09
Newton Iteration 1, Residual Norm: 9.942e-09
Newton Iteration 1, Residual Norm: 1.146e+00
Newton Iteration 2, Residual Norm: 2.285e-03
Newton Iteration 3, Residual Norm: 3.204e-04
Newton Iteration 4, Residual Norm: 4.890e-05
Newton Iteration 5, Residual Norm: 9.435e-06
Newton Iteration 6, Residual Norm: 2.416e-06
Newton Iteration 7, Residual Norm: 4.528e-07
Newton Iteration 8, Residual Norm: 7.120e-08
Newton Iteration 9, Residual Norm: 2.140e-08
Newton Iteration 10, Residual Norm: 9.958e-09
Iter 0: Res_d=9.94e-09, Res_u=9.96e-09
--- Time Step 257 ---
Newton Iteration 1, Residual Norm: 8.121e-09
Newton Iteration 1, Residual Norm: 9.961e-09
Newton Iteration 1, Residual Norm: 1.144e+00
Newton Iteration 2, Residual Norm: 2.303e-03
Newton Iteration 3, Residual Norm: 3.212e-04
Newton Iteration 4, Residual Norm: 4.163e-05
Newton Iteration 5, Residual Norm: 1.162e-05
Newton Iteration 6, Residual Norm: 1.596e-06
Newton Iteration 7, Residual Norm: 4.182e-07
Newton Iteration 8, Residual Norm: 1.029e-07
Newton Iteration 9, Residual Norm: 1.771e-08
Newton Iteration 10, Residual Norm: 9.980e-09
Iter 0: Res_d=9.96e-09, Res_u=9.98e-09
--- Time Step 258 ---
Newton Iteration 1, Residual Norm: 8.101e-09
Newton Iteration 1, Residual Norm: 8.715e-09
Newton Iteration 1, Residual Norm: 1.141e+00
Newton Iteration 2, Residual Norm: 2.359e-03
Newton Iteration 3, Residual Norm: 3.114e-04
Newton Iteration 4, Residual Norm: 5.170e-05
Newton Iteration 5, Residual Norm: 9.914e-06
Newton Iteration 6, Residual Norm: 3.440e-06
Newton Iteration 7, Residual Norm: 2.648e-07
Newton Iteration 8, Residual Norm: 1.501e-07
Newton Iteration 9, Residual Norm: 1.118e-08
Newton Iteration 10, Residual Norm: 9.969e-09
Iter 0: Res_d=8.71e-09, Res_u=9.97e-09
--- Time Step 259 ---
Newton Iteration 1, Residual Norm: 8.145e-09
Newton Iteration 1, Residual Norm: 9.790e-09
Newton Iteration 1, Residual Norm: 1.139e+00
Newton Iteration 2, Residual Norm: 2.357e-03
Newton Iteration 3, Residual Norm: 3.433e-04
Newton Iteration 4, Residual Norm: 4.208e-05
Newton Iteration 5, Residual Norm: 1.165e-05
Newton Iteration 6, Residual Norm: 1.683e-06
Newton Iteration 7, Residual Norm: 5.092e-07
Newton Iteration 8, Residual Norm: 7.335e-08
Newton Iteration 9, Residual Norm: 2.513e-08
Newton Iteration 10, Residual Norm: 9.998e-09
Iter 0: Res_d=9.79e-09, Res_u=1.00e-08
--- Time Step 260 ---
Newton Iteration 1, Residual Norm: 8.034e-09
Newton Iteration 1, Residual Norm: 9.712e-09
Newton Iteration 1, Residual Norm: 1.137e+00
Newton Iteration 2, Residual Norm: 2.347e-03
Newton Iteration 3, Residual Norm: 3.412e-04
Newton Iteration 4, Residual Norm: 3.717e-05
Newton Iteration 5, Residual Norm: 9.707e-06
Newton Iteration 6, Residual Norm: 1.971e-06
Newton Iteration 7, Residual Norm: 3.715e-07
Newton Iteration 8, Residual Norm: 1.206e-07
Newton Iteration 9, Residual Norm: 1.649e-08
Newton Iteration 10, Residual Norm: 9.951e-09
Iter 0: Res_d=9.71e-09, Res_u=9.95e-09
--- Time Step 261 ---
Newton Iteration 1, Residual Norm: 8.010e-09
Newton Iteration 1, Residual Norm: 8.879e-09
Newton Iteration 1, Residual Norm: 1.134e+00
Newton Iteration 2, Residual Norm: 2.397e-03
Newton Iteration 3, Residual Norm: 2.889e-04
Newton Iteration 4, Residual Norm: 4.388e-05
Newton Iteration 5, Residual Norm: 1.430e-05
Newton Iteration 6, Residual Norm: 1.445e-06
Newton Iteration 7, Residual Norm: 7.922e-07
Newton Iteration 8, Residual Norm: 6.048e-08
Newton Iteration 9, Residual Norm: 3.139e-08
Newton Iteration 10, Residual Norm: 9.953e-09
Iter 0: Res_d=8.88e-09, Res_u=9.95e-09
--- Time Step 262 ---
Newton Iteration 1, Residual Norm: 8.101e-09
Newton Iteration 1, Residual Norm: 9.791e-09
Newton Iteration 1, Residual Norm: 1.131e+00
Newton Iteration 2, Residual Norm: 2.389e-03
Newton Iteration 3, Residual Norm: 3.372e-04
Newton Iteration 4, Residual Norm: 4.118e-05
Newton Iteration 5, Residual Norm: 1.242e-05
Newton Iteration 6, Residual Norm: 1.644e-06
Newton Iteration 7, Residual Norm: 5.298e-07
Newton Iteration 8, Residual Norm: 7.838e-08
Newton Iteration 9, Residual Norm: 2.417e-08
Newton Iteration 10, Residual Norm: 9.947e-09
Iter 0: Res_d=9.79e-09, Res_u=9.95e-09
--- Time Step 263 ---
Newton Iteration 1, Residual Norm: 8.019e-09
Newton Iteration 1, Residual Norm: 8.788e-09
Newton Iteration 1, Residual Norm: 1.128e+00
Newton Iteration 2, Residual Norm: 2.406e-03
Newton Iteration 3, Residual Norm: 3.072e-04
Newton Iteration 4, Residual Norm: 4.111e-05
Newton Iteration 5, Residual Norm: 1.133e-05
Newton Iteration 6, Residual Norm: 1.667e-06
Newton Iteration 7, Residual Norm: 5.058e-07
Newton Iteration 8, Residual Norm: 7.987e-08
Newton Iteration 9, Residual Norm: 2.404e-08
Newton Iteration 10, Residual Norm: 9.937e-09
Iter 0: Res_d=8.79e-09, Res_u=9.94e-09
--- Time Step 264 ---
Newton Iteration 1, Residual Norm: 8.047e-09
Newton Iteration 1, Residual Norm: 9.644e-09
Newton Iteration 1, Residual Norm: 1.125e+00
Newton Iteration 2, Residual Norm: 2.414e-03
Newton Iteration 3, Residual Norm: 3.066e-04
Newton Iteration 4, Residual Norm: 4.056e-05
Newton Iteration 5, Residual Norm: 1.296e-05
Newton Iteration 6, Residual Norm: 1.456e-06
Newton Iteration 7, Residual Norm: 7.242e-07
Newton Iteration 8, Residual Norm: 6.390e-08
Newton Iteration 9, Residual Norm: 3.198e-08
Newton Iteration 10, Residual Norm: 9.921e-09
Iter 0: Res_d=9.64e-09, Res_u=9.92e-09
--- Time Step 265 ---
Newton Iteration 1, Residual Norm: 8.002e-09
Newton Iteration 1, Residual Norm: 9.829e-09
Newton Iteration 1, Residual Norm: 1.122e+00
Newton Iteration 2, Residual Norm: 2.465e-03
Newton Iteration 3, Residual Norm: 3.046e-04
Newton Iteration 4, Residual Norm: 4.028e-05
Newton Iteration 5, Residual Norm: 1.105e-05
Newton Iteration 6, Residual Norm: 1.833e-06
Newton Iteration 7, Residual Norm: 4.865e-07
Newton Iteration 8, Residual Norm: 8.646e-08
Newton Iteration 9, Residual Norm: 4.889e-08
Newton Iteration 10, Residual Norm: 9.998e-09
Iter 0: Res_d=9.83e-09, Res_u=1.00e-08
--- Time Step 266 ---
Newton Iteration 1, Residual Norm: 8.046e-09
Newton Iteration 1, Residual Norm: 9.774e-09
Newton Iteration 1, Residual Norm: 1.119e+00
Newton Iteration 2, Residual Norm: 2.442e-03
Newton Iteration 3, Residual Norm: 3.093e-04
Newton Iteration 4, Residual Norm: 3.921e-05
Newton Iteration 5, Residual Norm: 1.147e-05
Newton Iteration 6, Residual Norm: 1.672e-06
Newton Iteration 7, Residual Norm: 5.248e-07
Newton Iteration 8, Residual Norm: 8.260e-08
Newton Iteration 9, Residual Norm: 2.589e-08
Newton Iteration 10, Residual Norm: 9.967e-09
Iter 0: Res_d=9.77e-09, Res_u=9.97e-09
--- Time Step 267 ---
Newton Iteration 1, Residual Norm: 8.041e-09
Newton Iteration 1, Residual Norm: 9.384e-09
Newton Iteration 1, Residual Norm: 1.117e+00
Newton Iteration 2, Residual Norm: 2.464e-03
Newton Iteration 3, Residual Norm: 3.054e-04
Newton Iteration 4, Residual Norm: 5.465e-05
Newton Iteration 5, Residual Norm: 9.853e-06
Newton Iteration 6, Residual Norm: 2.302e-06
Newton Iteration 7, Residual Norm: 4.385e-07
Newton Iteration 8, Residual Norm: 1.081e-07
Newton Iteration 9, Residual Norm: 2.173e-08
Newton Iteration 10, Residual Norm: 9.985e-09
Iter 0: Res_d=9.38e-09, Res_u=9.99e-09
--- Time Step 268 ---
Newton Iteration 1, Residual Norm: 8.001e-09
Newton Iteration 1, Residual Norm: 8.302e-09
Newton Iteration 1, Residual Norm: 1.115e+00
Newton Iteration 2, Residual Norm: 2.476e-03
Newton Iteration 3, Residual Norm: 3.263e-04
Newton Iteration 4, Residual Norm: 3.855e-05
Newton Iteration 5, Residual Norm: 1.615e-05
Newton Iteration 6, Residual Norm: 1.464e-06
Newton Iteration 7, Residual Norm: 7.020e-07
Newton Iteration 8, Residual Norm: 6.952e-08
Newton Iteration 9, Residual Norm: 7.003e-08
Newton Iteration 10, Residual Norm: 9.876e-09
Iter 0: Res_d=8.30e-09, Res_u=9.88e-09
--- Time Step 269 ---
Newton Iteration 1, Residual Norm: 8.055e-09
Newton Iteration 1, Residual Norm: 9.467e-09
Newton Iteration 1, Residual Norm: 1.114e+00
Newton Iteration 2, Residual Norm: 2.494e-03
Newton Iteration 3, Residual Norm: 3.080e-04
Newton Iteration 4, Residual Norm: 3.472e-05
Newton Iteration 5, Residual Norm: 2.041e-05
Newton Iteration 6, Residual Norm: 1.093e-06
Newton Iteration 7, Residual Norm: 9.734e-07
Newton Iteration 8, Residual Norm: 4.996e-08
Newton Iteration 9, Residual Norm: 3.320e-08
Newton Iteration 10, Residual Norm: 9.924e-09
Iter 0: Res_d=9.47e-09, Res_u=9.92e-09
--- Time Step 270 ---
Newton Iteration 1, Residual Norm: 8.015e-09
Newton Iteration 1, Residual Norm: 9.674e-09
Newton Iteration 1, Residual Norm: 1.113e+00
Newton Iteration 2, Residual Norm: 2.499e-03
Newton Iteration 3, Residual Norm: 3.020e-04
Newton Iteration 4, Residual Norm: 3.812e-05
Newton Iteration 5, Residual Norm: 1.168e-05
Newton Iteration 6, Residual Norm: 1.555e-06
Newton Iteration 7, Residual Norm: 5.516e-07
Newton Iteration 8, Residual Norm: 9.705e-08
Newton Iteration 9, Residual Norm: 4.181e-08
Newton Iteration 10, Residual Norm: 9.998e-09
Iter 0: Res_d=9.67e-09, Res_u=1.00e-08
--- Time Step 271 ---
Newton Iteration 1, Residual Norm: 7.988e-09
Newton Iteration 1, Residual Norm: 9.702e-09
Newton Iteration 1, Residual Norm: 1.113e+00
Newton Iteration 2, Residual Norm: 2.546e-03
Newton Iteration 3, Residual Norm: 3.303e-04
Newton Iteration 4, Residual Norm: 3.803e-05
Newton Iteration 5, Residual Norm: 1.258e-05
Newton Iteration 6, Residual Norm: 1.644e-06
Newton Iteration 7, Residual Norm: 5.942e-07
Newton Iteration 8, Residual Norm: 8.057e-08
Newton Iteration 9, Residual Norm: 2.764e-08
Newton Iteration 10, Residual Norm: 9.998e-09
Iter 0: Res_d=9.70e-09, Res_u=1.00e-08
--- Time Step 272 ---
Newton Iteration 1, Residual Norm: 7.967e-09
Newton Iteration 1, Residual Norm: 9.399e-09
Newton Iteration 1, Residual Norm: 1.111e+00
Newton Iteration 2, Residual Norm: 2.546e-03
Newton Iteration 3, Residual Norm: 3.036e-04
Newton Iteration 4, Residual Norm: 3.749e-05
Newton Iteration 5, Residual Norm: 1.187e-05
Newton Iteration 6, Residual Norm: 1.672e-06
Newton Iteration 7, Residual Norm: 1.078e-06
Newton Iteration 8, Residual Norm: 5.580e-08
Newton Iteration 9, Residual Norm: 4.517e-08
Newton Iteration 10, Residual Norm: 9.997e-09
Iter 0: Res_d=9.40e-09, Res_u=1.00e-08
--- Time Step 273 ---
Newton Iteration 1, Residual Norm: 8.004e-09
Newton Iteration 1, Residual Norm: 9.483e-09
Newton Iteration 1, Residual Norm: 1.110e+00
Newton Iteration 2, Residual Norm: 2.552e-03
Newton Iteration 3, Residual Norm: 3.064e-04
Newton Iteration 4, Residual Norm: 3.722e-05
Newton Iteration 5, Residual Norm: 1.198e-05
Newton Iteration 6, Residual Norm: 1.659e-06
Newton Iteration 7, Residual Norm: 5.798e-07
Newton Iteration 8, Residual Norm: 8.334e-08
Newton Iteration 9, Residual Norm: 2.911e-08
Newton Iteration 10, Residual Norm: 9.978e-09
Iter 0: Res_d=9.48e-09, Res_u=9.98e-09
--- Time Step 274 ---
Newton Iteration 1, Residual Norm: 7.961e-09
Newton Iteration 1, Residual Norm: 9.603e-09
Newton Iteration 1, Residual Norm: 1.108e+00
Newton Iteration 2, Residual Norm: 2.615e-03
Newton Iteration 3, Residual Norm: 3.019e-04
Newton Iteration 4, Residual Norm: 5.623e-05
Newton Iteration 5, Residual Norm: 9.181e-06
Newton Iteration 6, Residual Norm: 2.094e-06
Newton Iteration 7, Residual Norm: 4.433e-07
Newton Iteration 8, Residual Norm: 1.145e-07
Newton Iteration 9, Residual Norm: 2.015e-08
Newton Iteration 10, Residual Norm: 9.964e-09
Iter 0: Res_d=9.60e-09, Res_u=9.96e-09
--- Time Step 275 ---
Newton Iteration 1, Residual Norm: 8.000e-09
Newton Iteration 1, Residual Norm: 9.737e-09
Newton Iteration 1, Residual Norm: 1.107e+00
Newton Iteration 2, Residual Norm: 2.609e-03
Newton Iteration 3, Residual Norm: 3.087e-04
Newton Iteration 4, Residual Norm: 3.726e-05
Newton Iteration 5, Residual Norm: 1.200e-05
Newton Iteration 6, Residual Norm: 1.745e-06
Newton Iteration 7, Residual Norm: 5.673e-07
Newton Iteration 8, Residual Norm: 8.946e-08
Newton Iteration 9, Residual Norm: 2.858e-08
Newton Iteration 10, Residual Norm: 9.976e-09
Iter 0: Res_d=9.74e-09, Res_u=9.98e-09
--- Time Step 276 ---
Newton Iteration 1, Residual Norm: 7.999e-09
Newton Iteration 1, Residual Norm: 9.904e-09
Newton Iteration 1, Residual Norm: 1.108e+00
Newton Iteration 2, Residual Norm: 2.658e-03
Newton Iteration 3, Residual Norm: 2.913e-04
Newton Iteration 4, Residual Norm: 5.668e-05
Newton Iteration 5, Residual Norm: 9.545e-06
Newton Iteration 6, Residual Norm: 2.080e-06
Newton Iteration 7, Residual Norm: 4.533e-07
Newton Iteration 8, Residual Norm: 2.057e-07
Newton Iteration 9, Residual Norm: 1.660e-08
Newton Iteration 10, Residual Norm: 9.950e-09
Iter 0: Res_d=9.90e-09, Res_u=9.95e-09
--- Time Step 277 ---
Newton Iteration 1, Residual Norm: 8.022e-09
Newton Iteration 1, Residual Norm: 9.170e-09
Newton Iteration 1, Residual Norm: 1.110e+00
Newton Iteration 2, Residual Norm: 2.634e-03
Newton Iteration 3, Residual Norm: 3.189e-04
Newton Iteration 4, Residual Norm: 3.312e-05
Newton Iteration 5, Residual Norm: 1.687e-05
Newton Iteration 6, Residual Norm: 1.340e-06
Newton Iteration 7, Residual Norm: 1.343e-06
Newton Iteration 8, Residual Norm: 4.655e-08
Newton Iteration 9, Residual Norm: 4.976e-08
Newton Iteration 10, Residual Norm: 9.974e-09
Iter 0: Res_d=9.17e-09, Res_u=9.97e-09
--- Time Step 278 ---
Newton Iteration 1, Residual Norm: 8.008e-09
Newton Iteration 1, Residual Norm: 9.379e-09
Newton Iteration 1, Residual Norm: 1.112e+00
Newton Iteration 2, Residual Norm: 2.653e-03
Newton Iteration 3, Residual Norm: 3.245e-04
Newton Iteration 4, Residual Norm: 3.738e-05
Newton Iteration 5, Residual Norm: 1.211e-05
Newton Iteration 6, Residual Norm: 1.646e-06
Newton Iteration 7, Residual Norm: 5.347e-07
Newton Iteration 8, Residual Norm: 1.333e-07
Newton Iteration 9, Residual Norm: 2.215e-08
Newton Iteration 10, Residual Norm: 9.977e-09
Iter 0: Res_d=9.38e-09, Res_u=9.98e-09
--- Time Step 279 ---
Newton Iteration 1, Residual Norm: 7.983e-09
Newton Iteration 1, Residual Norm: 8.223e-09
Newton Iteration 1, Residual Norm: 1.115e+00
Newton Iteration 2, Residual Norm: 2.656e-03
Newton Iteration 3, Residual Norm: 3.555e-04
Newton Iteration 4, Residual Norm: 3.306e-05
Newton Iteration 5, Residual Norm: 1.318e-05
Newton Iteration 6, Residual Norm: 1.471e-06
Newton Iteration 7, Residual Norm: 1.157e-06
Newton Iteration 8, Residual Norm: 5.224e-08
Newton Iteration 9, Residual Norm: 3.542e-08
Newton Iteration 10, Residual Norm: 9.964e-09
Iter 0: Res_d=8.22e-09, Res_u=9.96e-09
--- Time Step 280 ---
Newton Iteration 1, Residual Norm: 7.929e-09
Newton Iteration 1, Residual Norm: 9.986e-09
Newton Iteration 1, Residual Norm: 1.119e+00
Newton Iteration 2, Residual Norm: 2.660e-03
Newton Iteration 3, Residual Norm: 3.413e-04
Newton Iteration 4, Residual Norm: 3.685e-05
Newton Iteration 5, Residual Norm: 5.690e-05
Newton Iteration 6, Residual Norm: 1.631e-06
Newton Iteration 7, Residual Norm: 6.069e-07
Newton Iteration 8, Residual Norm: 7.679e-08
Newton Iteration 9, Residual Norm: 3.131e-08
Newton Iteration 10, Residual Norm: 1.000e-08
Iter 0: Res_d=9.99e-09, Res_u=1.00e-08
--- Time Step 281 ---
Newton Iteration 1, Residual Norm: 7.977e-09
Newton Iteration 1, Residual Norm: 9.038e-09
Newton Iteration 1, Residual Norm: 1.122e+00
Newton Iteration 2, Residual Norm: 2.666e-03
Newton Iteration 3, Residual Norm: 3.395e-04
Newton Iteration 4, Residual Norm: 5.437e-04
Newton Iteration 5, Residual Norm: 1.216e-05
Newton Iteration 6, Residual Norm: 2.790e-06
Newton Iteration 7, Residual Norm: 3.984e-07
Newton Iteration 8, Residual Norm: 8.458e-08
Newton Iteration 9, Residual Norm: 2.025e-08
Newton Iteration 10, Residual Norm: 9.993e-09
Iter 0: Res_d=9.04e-09, Res_u=9.99e-09
--- Time Step 282 ---
Newton Iteration 1, Residual Norm: 7.920e-09
Newton Iteration 1, Residual Norm: 9.744e-09
Newton Iteration 1, Residual Norm: 1.125e+00
Newton Iteration 2, Residual Norm: 2.694e-03
Newton Iteration 3, Residual Norm: 3.585e-04
Newton Iteration 4, Residual Norm: 3.716e-05
Newton Iteration 5, Residual Norm: 1.198e-05
Newton Iteration 6, Residual Norm: 2.832e-06
Newton Iteration 7, Residual Norm: 3.838e-07
Newton Iteration 8, Residual Norm: 1.118e-07
Newton Iteration 9, Residual Norm: 1.920e-08
Newton Iteration 10, Residual Norm: 9.977e-09
Iter 0: Res_d=9.74e-09, Res_u=9.98e-09
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Newton Iteration 1, Residual Norm: 7.982e-09
Newton Iteration 1, Residual Norm: 9.821e-09
Newton Iteration 1, Residual Norm: 1.126e+00
Newton Iteration 2, Residual Norm: 2.688e-03
Newton Iteration 3, Residual Norm: 9.234e-04
Newton Iteration 4, Residual Norm: 3.635e-05
Newton Iteration 5, Residual Norm: 1.825e-05
Newton Iteration 6, Residual Norm: 1.158e-06
Newton Iteration 7, Residual Norm: 9.416e-07
Newton Iteration 8, Residual Norm: 5.055e-08
Newton Iteration 9, Residual Norm: 4.180e-08
Newton Iteration 10, Residual Norm: 9.976e-09
Iter 0: Res_d=9.82e-09, Res_u=9.98e-09
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Newton Iteration 1, Residual Norm: 7.903e-09
Newton Iteration 1, Residual Norm: 8.799e-09
Newton Iteration 1, Residual Norm: 1.128e+00
Newton Iteration 2, Residual Norm: 2.692e-03
Newton Iteration 3, Residual Norm: 1.595e-03
Newton Iteration 4, Residual Norm: 3.277e-05
Newton Iteration 5, Residual Norm: 1.342e-05
Newton Iteration 6, Residual Norm: 1.306e-06
Newton Iteration 7, Residual Norm: 1.046e-06
Newton Iteration 8, Residual Norm: 5.166e-08
Newton Iteration 9, Residual Norm: 4.400e-08
Newton Iteration 10, Residual Norm: 9.891e-09
Iter 0: Res_d=8.80e-09, Res_u=9.89e-09
--- Time Step 285 ---
Newton Iteration 1, Residual Norm: 7.941e-09
Newton Iteration 1, Residual Norm: 8.873e-09
Newton Iteration 1, Residual Norm: 1.129e+00
Newton Iteration 2, Residual Norm: 2.695e-03
Newton Iteration 3, Residual Norm: 2.263e-03
Newton Iteration 4, Residual Norm: 3.552e-05
Newton Iteration 5, Residual Norm: 1.191e-05
Newton Iteration 6, Residual Norm: 1.471e-06
Newton Iteration 7, Residual Norm: 4.964e-07
Newton Iteration 8, Residual Norm: 1.182e-07
Newton Iteration 9, Residual Norm: 1.896e-08
Newton Iteration 10, Residual Norm: 9.997e-09
Iter 0: Res_d=8.87e-09, Res_u=1.00e-08
--- Time Step 286 ---
Newton Iteration 1, Residual Norm: 7.897e-09
Newton Iteration 1, Residual Norm: 8.750e-09
Newton Iteration 1, Residual Norm: 1.130e+00
Newton Iteration 2, Residual Norm: 2.709e-03
Newton Iteration 3, Residual Norm: 2.929e-03
Newton Iteration 4, Residual Norm: 4.670e-05
Newton Iteration 5, Residual Norm: 1.039e-05
Newton Iteration 6, Residual Norm: 2.381e-06
Newton Iteration 7, Residual Norm: 4.241e-07
Newton Iteration 8, Residual Norm: 9.963e-08
Newton Iteration 9, Residual Norm: 1.825e-08
Newton Iteration 10, Residual Norm: 9.980e-09
Iter 0: Res_d=8.75e-09, Res_u=9.98e-09
--- Time Step 287 ---
Newton Iteration 1, Residual Norm: 7.950e-09
Newton Iteration 1, Residual Norm: 9.591e-09
Newton Iteration 1, Residual Norm: 1.131e+00
Newton Iteration 2, Residual Norm: 2.696e-03
Newton Iteration 3, Residual Norm: 3.616e-03
Newton Iteration 4, Residual Norm: 3.142e-05
Newton Iteration 5, Residual Norm: 1.158e-05
Newton Iteration 6, Residual Norm: 2.195e-06
Newton Iteration 7, Residual Norm: 4.132e-07
Newton Iteration 8, Residual Norm: 8.012e-08
Newton Iteration 9, Residual Norm: 2.010e-08
Newton Iteration 10, Residual Norm: 9.986e-09
Iter 0: Res_d=9.59e-09, Res_u=9.99e-09
--- Time Step 288 ---
Newton Iteration 1, Residual Norm: 7.866e-09
Newton Iteration 1, Residual Norm: 9.561e-09
Newton Iteration 1, Residual Norm: 1.133e+00
Newton Iteration 2, Residual Norm: 2.722e-03
Newton Iteration 3, Residual Norm: 4.289e-03
Newton Iteration 4, Residual Norm: 3.601e-05
Newton Iteration 5, Residual Norm: 1.881e-05
Newton Iteration 6, Residual Norm: 1.118e-06
Newton Iteration 7, Residual Norm: 8.034e-07
Newton Iteration 8, Residual Norm: 4.844e-08
Newton Iteration 9, Residual Norm: 2.842e-08
Newton Iteration 10, Residual Norm: 9.933e-09
Iter 0: Res_d=9.56e-09, Res_u=9.93e-09
--- Time Step 289 ---
Newton Iteration 1, Residual Norm: 7.891e-09
Newton Iteration 1, Residual Norm: 9.400e-09
Newton Iteration 1, Residual Norm: 1.135e+00
Newton Iteration 2, Residual Norm: 2.734e-03
Newton Iteration 3, Residual Norm: 4.955e-03
Newton Iteration 4, Residual Norm: 3.497e-05
Newton Iteration 5, Residual Norm: 1.255e-05
Newton Iteration 6, Residual Norm: 1.469e-06
Newton Iteration 7, Residual Norm: 5.310e-07
Newton Iteration 8, Residual Norm: 6.231e-08
Newton Iteration 9, Residual Norm: 2.065e-08
Newton Iteration 10, Residual Norm: 9.940e-09
Iter 0: Res_d=9.40e-09, Res_u=9.94e-09
--- Time Step 290 ---
Newton Iteration 1, Residual Norm: 7.863e-09
Newton Iteration 1, Residual Norm: 9.176e-09
Newton Iteration 1, Residual Norm: 1.138e+00
Newton Iteration 2, Residual Norm: 2.754e-03
Newton Iteration 3, Residual Norm: 5.591e-03
Newton Iteration 4, Residual Norm: 3.205e-05
Newton Iteration 5, Residual Norm: 1.426e-05
Newton Iteration 6, Residual Norm: 1.194e-06
Newton Iteration 7, Residual Norm: 8.077e-07
Newton Iteration 8, Residual Norm: 4.750e-08
Newton Iteration 9, Residual Norm: 5.493e-08
Newton Iteration 10, Residual Norm: 9.877e-09
Iter 0: Res_d=9.18e-09, Res_u=9.88e-09
--- Time Step 291 ---
Newton Iteration 1, Residual Norm: 7.868e-09
Newton Iteration 1, Residual Norm: 8.600e-09
Newton Iteration 1, Residual Norm: 1.140e+00
Newton Iteration 2, Residual Norm: 2.753e-03
Newton Iteration 3, Residual Norm: 6.210e-03
Newton Iteration 4, Residual Norm: 3.615e-05
Newton Iteration 5, Residual Norm: 1.248e-05
Newton Iteration 6, Residual Norm: 1.545e-06
Newton Iteration 7, Residual Norm: 4.750e-07
Newton Iteration 8, Residual Norm: 7.036e-08
Newton Iteration 9, Residual Norm: 2.039e-08
Newton Iteration 10, Residual Norm: 9.924e-09
Iter 0: Res_d=8.60e-09, Res_u=9.92e-09
--- Time Step 292 ---
Newton Iteration 1, Residual Norm: 7.908e-09
Newton Iteration 1, Residual Norm: 9.855e-09
Newton Iteration 1, Residual Norm: 1.143e+00
Newton Iteration 2, Residual Norm: 2.770e-03
Newton Iteration 3, Residual Norm: 6.841e-03
Newton Iteration 4, Residual Norm: 3.556e-05
Newton Iteration 5, Residual Norm: 1.311e-05
Newton Iteration 6, Residual Norm: 1.256e-06
Newton Iteration 7, Residual Norm: 5.291e-07
Newton Iteration 8, Residual Norm: 5.350e-08
Newton Iteration 9, Residual Norm: 4.534e-08
Newton Iteration 10, Residual Norm: 9.988e-09
Iter 0: Res_d=9.86e-09, Res_u=9.99e-09
--- Time Step 293 ---
Newton Iteration 1, Residual Norm: 7.886e-09
Newton Iteration 1, Residual Norm: 9.619e-09
Newton Iteration 1, Residual Norm: 1.145e+00
Newton Iteration 2, Residual Norm: 2.797e-03
Newton Iteration 3, Residual Norm: 7.424e-03
Newton Iteration 4, Residual Norm: 3.671e-05
Newton Iteration 5, Residual Norm: 1.261e-05
Newton Iteration 6, Residual Norm: 1.324e-06
Newton Iteration 7, Residual Norm: 5.170e-07
Newton Iteration 8, Residual Norm: 5.641e-08
Newton Iteration 9, Residual Norm: 2.215e-08
Newton Iteration 10, Residual Norm: 9.938e-09
Iter 0: Res_d=9.62e-09, Res_u=9.94e-09
--- Time Step 294 ---
Newton Iteration 1, Residual Norm: 7.901e-09
Newton Iteration 1, Residual Norm: 9.681e-09
Newton Iteration 1, Residual Norm: 1.146e+00
Newton Iteration 2, Residual Norm: 2.803e-03
Newton Iteration 3, Residual Norm: 8.023e-03
Newton Iteration 4, Residual Norm: 5.300e-05
Newton Iteration 5, Residual Norm: 8.607e-06
Newton Iteration 6, Residual Norm: 2.304e-06
Newton Iteration 7, Residual Norm: 3.254e-07
Newton Iteration 8, Residual Norm: 8.788e-08
Newton Iteration 9, Residual Norm: 1.276e-08
Newton Iteration 10, Residual Norm: 9.989e-09
Iter 0: Res_d=9.68e-09, Res_u=9.99e-09
--- Time Step 295 ---
Newton Iteration 1, Residual Norm: 7.840e-09
Newton Iteration 1, Residual Norm: 9.806e-09
Newton Iteration 1, Residual Norm: 1.146e+00
Newton Iteration 2, Residual Norm: 2.816e-03
Newton Iteration 3, Residual Norm: 8.599e-03
Newton Iteration 4, Residual Norm: 3.648e-05
Newton Iteration 5, Residual Norm: 1.230e-05
Newton Iteration 6, Residual Norm: 1.359e-06
Newton Iteration 7, Residual Norm: 5.484e-07
Newton Iteration 8, Residual Norm: 1.207e-07
Newton Iteration 9, Residual Norm: 1.363e-08
Newton Iteration 10, Residual Norm: 9.972e-09
Iter 0: Res_d=9.81e-09, Res_u=9.97e-09
--- Time Step 296 ---
Newton Iteration 1, Residual Norm: 7.834e-09
Newton Iteration 1, Residual Norm: 8.353e-09
Newton Iteration 1, Residual Norm: 1.146e+00
Newton Iteration 2, Residual Norm: 2.839e-03
Newton Iteration 3, Residual Norm: 9.182e-03
Newton Iteration 4, Residual Norm: 3.304e-05
Newton Iteration 5, Residual Norm: 1.834e-05
Newton Iteration 6, Residual Norm: 1.082e-06
Newton Iteration 7, Residual Norm: 6.623e-07
Newton Iteration 8, Residual Norm: 4.591e-08
Newton Iteration 9, Residual Norm: 2.854e-08
Newton Iteration 10, Residual Norm: 9.981e-09
Iter 0: Res_d=8.35e-09, Res_u=9.98e-09
--- Time Step 297 ---
Newton Iteration 1, Residual Norm: 7.860e-09
Newton Iteration 1, Residual Norm: 9.346e-09
Newton Iteration 1, Residual Norm: 1.144e+00
Newton Iteration 2, Residual Norm: 2.855e-03
Newton Iteration 3, Residual Norm: 9.718e-03
Newton Iteration 4, Residual Norm: 3.653e-05
Newton Iteration 5, Residual Norm: 1.738e-05
Newton Iteration 6, Residual Norm: 1.053e-06
Newton Iteration 7, Residual Norm: 6.303e-07
Newton Iteration 8, Residual Norm: 4.253e-08
Newton Iteration 9, Residual Norm: 3.694e-08
Newton Iteration 10, Residual Norm: 9.931e-09
Iter 0: Res_d=9.35e-09, Res_u=9.93e-09
--- Time Step 298 ---
Newton Iteration 1, Residual Norm: 7.825e-09
Newton Iteration 1, Residual Norm: 9.621e-09
Newton Iteration 1, Residual Norm: 1.141e+00
Newton Iteration 2, Residual Norm: 2.847e-03
Newton Iteration 3, Residual Norm: 1.026e-02
Newton Iteration 4, Residual Norm: 3.675e-05
Newton Iteration 5, Residual Norm: 1.362e-05
Newton Iteration 6, Residual Norm: 1.202e-06
Newton Iteration 7, Residual Norm: 7.652e-07
Newton Iteration 8, Residual Norm: 5.020e-08
Newton Iteration 9, Residual Norm: 3.134e-08
Newton Iteration 10, Residual Norm: 9.947e-09
Iter 0: Res_d=9.62e-09, Res_u=9.95e-09
--- Time Step 299 ---
Newton Iteration 1, Residual Norm: 7.832e-09
Newton Iteration 1, Residual Norm: 9.222e-09
Newton Iteration 1, Residual Norm: 1.137e+00
Newton Iteration 2, Residual Norm: 2.855e-03
Newton Iteration 3, Residual Norm: 1.077e-02
Newton Iteration 4, Residual Norm: 3.755e-05
Newton Iteration 5, Residual Norm: 1.207e-05
Newton Iteration 6, Residual Norm: 1.606e-06
Newton Iteration 7, Residual Norm: 7.898e-07
Newton Iteration 8, Residual Norm: 4.992e-08
Newton Iteration 9, Residual Norm: 3.821e-08
Newton Iteration 10, Residual Norm: 9.949e-09
Iter 0: Res_d=9.22e-09, Res_u=9.95e-09
--- Time Step 300 ---
Newton Iteration 1, Residual Norm: 7.842e-09
Newton Iteration 1, Residual Norm: 9.207e-09
Newton Iteration 1, Residual Norm: 1.132e+00
Newton Iteration 2, Residual Norm: 2.884e-03
Newton Iteration 3, Residual Norm: 1.127e-02
Newton Iteration 4, Residual Norm: 3.661e-05
Newton Iteration 5, Residual Norm: 1.189e-05
Newton Iteration 6, Residual Norm: 2.550e-06
Newton Iteration 7, Residual Norm: 4.051e-07
Newton Iteration 8, Residual Norm: 1.536e-07
Newton Iteration 9, Residual Norm: 1.493e-08
Newton Iteration 10, Residual Norm: 9.978e-09
Iter 0: Res_d=9.21e-09, Res_u=9.98e-09
Visualization¤
We plot the results. Notice how the cracks (Field \(d\)) initiate at the boundaries where the thermal gradient (and thus tensile stress) is highest.
Analtical solution for 1D transient heat conduction (for validation)
import matplotlib.patches as patches
import matplotlib.tri as tri_mat
from matplotlib.gridspec import GridSpec
from mpl_toolkits.axes_grid1 import make_axes_locatable
def set_size(fraction=1, height_ratio="golden", width="two-column", subplots=(1, 1)):
if width == "two-column":
width_pt = 180 # mm
elif width == "one-column":
width_pt = 90 # mm
else:
width_pt = width
if height_ratio == "golden":
ratio_pt = (np.sqrt(5) - 1.0) / 2.0
else:
ratio_pt = height_ratio
fig_width_pt = width_pt * fraction
inches_per_pt = 1.0 / 25.4
fig_width_in = fig_width_pt * inches_per_pt
fig_height_in = fig_width_in * ratio_pt * (subplots[0] / subplots[1])
fig_dim = (fig_width_in, fig_height_in)
return fig_dim
def compute_temperature(x, t, L, D, theta_0, theta_A=0, n_terms=50):
"""
Computes the 1D analytical solution of heat conduction based on Eq A.3.
Args:
x : array-like, spatial coordinates (0 to L)
t : float, time point to evaluate
L : float, length of the domain
D : float, thermal diffusivity
theta_0 : float, initial temperature of the domain
theta_A : float, fixed temperature at left edge (x=0). Default is 0 per Eq A.2.
n_terms : int, number of terms in the summation series (convergence factor)
Returns:
theta : array-like, temperature profile at time t
"""
summation = np.zeros_like(x, dtype=float)
for n in range(1, n_terms * 2, 2):
spatial_part = np.sin((n * np.pi * x) / (2 * L)) / (n * np.pi)
exponent = - (n**2 * np.pi**2 * D * t) / (4 * L**2)
temporal_part = np.exp(exponent)
summation += spatial_part * temporal_part
theta = theta_A + 4 * (theta_0 - theta_A) * summation
return theta
Visualization of temperature, damage, and comparison with analytical solution
from matplotlib.lines import Line2D
triang = tri_mat.Triangulation(mesh.coords[:, 0], mesh.coords[:, 1], mesh.elements)
fig = plt.figure(layout="constrained", figsize=set_size(height_ratio=0.25, subplots=(3, 2)))
gs = GridSpec(
3,
2,
figure=fig,
width_ratios=[1, 0.25],
height_ratios=[1, 1, 1],
wspace=0.15,
hspace=0.05,
)
new_coords = mesh.coords.copy()
new_coords[:, 0] = mesh.coords[:, 1]
new_coords[:, 1] = mesh.coords[:, 0]
step_to_plot = 299
width = x_max - x_min
height = y_max - y_min
def add_bounding_box(ax):
rect = patches.Rectangle(
(x_min, y_min),
width,
height,
linewidth=0.5,
edgecolor="black",
facecolor="none",
)
ax.add_patch(rect)
def add_zoom_box(ax):
rect = patches.Rectangle(
(0, 0), 1, 1, lw=0.7, ec="black", fc="none", transform=ax.transAxes
)
ax.add_patch(rect)
ax1 = fig.add_subplot(gs[0, 0])
cb = ax1.tripcolor(
triang,
results_T[step_to_plot].flatten(),
alpha=0.95,
cmap="pink_r",
shading="gouraud",
)
cb.set_clim(jnp.min(results_T[step_to_plot]), jnp.max(results_T[step_to_plot]))
cax = make_axes_locatable(ax1).append_axes("right", size="1%", pad=0.05)
fig.colorbar(cb, cax=cax, label=r"$T~[K]$")
add_bounding_box(ax1) # <--- Add Box
ax1.set_aspect("equal")
ax1.axis("off")
ax2 = fig.add_subplot(gs[1, 0])
cb = ax2.tripcolor(
triang,
results_d[step_to_plot - 190],
alpha=0.95,
cmap="berlin",
shading="gouraud",
vmin=0.0,
vmax=1.0,
)
cax = make_axes_locatable(ax2).append_axes("right", size="1%", pad=0.05)
fig.colorbar(cb, cax=cax, label=r"$\mathsf{Damage}$")
add_bounding_box(ax2)
ax2.text(
0.5,
-0.1,
r"$t={:.2f}~\mathsf{{ms}}$".format(dt * (step_to_plot - 200) * 1000),
#rf"$t=${dt * (step_to_plot - 200) * 1000}~" + r"$\mathsf{ms}$",
transform=ax2.transAxes,
ha="center",
va="top",
)
ax2.set_aspect("equal")
ax2.axis("off")
ax3 = fig.add_subplot(gs[2, 0])
u_reshaped = results_u[step_to_plot].reshape(-1, 2)
grad_u = op.grad(u_reshaped)
theta_quad = op.eval(results_T[step_to_plot])
delta_theta = theta_quad - theta_quad_ref
damage_quad = op.eval(results_d[step_to_plot])
psi_plus_current, psi_minus_current = compute_elastic_energy_density(
grad_u, delta_theta, mu, lmbda, mat.alpha
)
psi_plus_degraded = degradation_function(damage_quad) * psi_plus_current
cb = ax3.tripcolor(
triang,
results_d[step_to_plot],
alpha=0.95,
cmap="berlin",
shading="gouraud",
vmin=0.0,
vmax=1.0,
)
cax = make_axes_locatable(ax3).append_axes("right", size="1%", pad=0.05)
fig.colorbar(cb, cax=cax, label=r"$\mathsf{Damage}$")
ax3.text(
0.5,
-0.1,
r"$t={:.2f}~\mathsf{{ms}}$".format(dt * step_to_plot * 1000.),
transform=ax3.transAxes,
ha="center",
va="top",
)
add_bounding_box(ax3)
ax3.set_aspect("equal")
ax3.axis("off")
L = y_max - y_min # Length of domain (e.g., meters)
theta_0 = 550.0 # Initial temp of the bar (e.g., Celsius)
theta_A = 300.0 # Boundary temp at x=0 (Fixed per Eq A.2)
x_values = np.linspace(0, L, 100) # 100 spatial points from 0 to L
prop_cycle = plt.rcParams["axes.prop_cycle"]
colors = prop_cycle.by_key()["color"]
ax4 = fig.add_subplot(gs[:, -1])
for index, i in enumerate(np.array([10, 100, 299])):
# Compute solution for this time step
t = dt * i
temp_profile = compute_temperature(x_values, t, L, mat.kappa, theta_0, theta_A)
# Plotting
label_str = f"$t$ = {t * 1000}~" + r"$\mathsf{ms}$" if t > 0 else "t = 0 s (Initial)"
ax4.plot(temp_profile, x_values, label=label_str, color=colors[index])
ax4.plot(
results_T[i][right_nodes].flatten(),
mesh.coords[right_nodes, 1].flatten() - y_min,
"o",
markeredgecolor=colors[index],
markerfacecolor="white",
markeredgewidth=0.8,
markevery=2
)
ax4.set_xlabel(r"$T~[\mathsf{K}]$")
ax4.set_ylabel(r"$y~[\mathsf{mm}]$")
ax4.grid(True)
ax4.spines["top"].set_visible(False)
ax4.spines["right"].set_visible(False)
#ax4.legend(frameon=False)
legend = ax4.legend(frameon=False, numpoints=1, markerscale=1.25)
legend_elements = [
Line2D([0], [0], color="k", linestyle="solid", label="analytical"),
Line2D([0], [0], color="k", linestyle="none", marker="o", markeredgewidth=0.8, markerfacecolor="white", markeredgecolor='k', label="tatva"),
]
legend = ax4.legend(handles=[*legend.legend_handles, *legend_elements], frameon=False, numpoints=1, markerscale=1.25)
plt.show()
