Isothermal absorption of protium in titanium

🏷 Tags: 1D kinetic surface model transient

This validation case reproduces H absorption curves for Ti at different temperatures obtained by Hirooka et al. [18].

Absorption experiments were performed in the vacuum chamber at the base pressure of \(1.3 \times 10^{4} \ \mathrm{Pa}\) with \(10 \times 13 \times 1 \ \mathrm{mm}^{3}\) cold rolled Ti strips. Absorption curves were acquired at the fixed sample temperature ranging from \(450 \ ^{\circ}\mathrm{C}\) to \(650 \ ^{\circ}\mathrm{C}\).

The FESTIM model is based on the work of Shimohata et al. [19]. By following the approach, evolution of the surface H concentration is assumed to be driven by adsorption from the gas phase and recombination. Only a half of the sample is simulated for simplicity.

The H diffusivity in Ti is taken from the report of Wille and Davis [20]. Rates of H desorption, absorption and re-absorption were fitted by Kulagin et al. [21].

The FESTIM results are compared to the experimental data from [19], extracted with PlotDigitizer.

FESTIM model

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import festim as F
import fenics as f
import numpy as np
import h_transport_materials as htm

################### PARAMETERS ###################
N_A_const = 6.022e23  # Avogadro, mol^-1
e = 1.602e-19  # elementary charge, C
M_H2 = 2.016e-3 / N_A_const  # the H2 mass, kg mol^-1

# Sample size
A = 1e-2 * 1.3e-2  # Ti surface area (1cm x 1.3cm), m^2
L = 1e-3 / 2  # Ti thickness, m
V = A * L  # Ti volume (1cm x 1.3cm x 1mm), m^-3

# Ti properties
X_max = 3  # maximum number of H atoms per a Ti atom in the bulk
n_b = 9.4e4 * N_A_const  #  the number of atomic sites per unit of volume of Ti, m^-3
n_surf = (
    X_max * 2.16e-5 * N_A_const
)  # the number of atomic sites per unit of surface area of Ti, m^-2
N_Ti = n_b * V  #  the number of moles of Ti
n_IS = X_max * n_b
lambda_Ti = n_surf / n_IS

D = htm.diffusivities.filter(material=htm.TITANIUM, author="wille")[0]
D0 = D.pre_exp.magnitude  # diffusivity pre-factor, m^2 s^-1
E_diff = D.act_energy.magnitude  # diffusion activation energy, eV

k_sb = 5.1413505e9  # frequency factor of surface-to-bulk transition, s^-1
E_sb = 1.0087995  # activation energy for surface-to-bulk transition, eV
k_bs = 1.0012013e10  #  # frequency factor of bulk-to-surface transition, s^-1
E_bs = 1.0518870  # activation energy for bulk-to-surface transition, eV
k_des = 3.4115671e-11  # desorption rate, m^2 s^-1
E_des = 5.6197034e-01  # desorption activation energy, eV

# Chamber
V_ch = 2.95e-3  # the chamber volume, m^3
P0 = 1.3e4  # the initial pressure, Pa

T_list = [
    450 + 273,
    500 + 273,
    550 + 273,
    600 + 273,
    650 + 273,
]  # list of considered temperatures, reference data is given in deg C


################### FUNCTIONS ###################
def S0(T):
    # the capturing coefficient
    return 0.0143 * f.exp(F.kJmol_to_eV(1.99) / F.k_B / T)


def P_H2(T, X):
    # partial pressure of hydrogen, Pa
    X0 = 0
    return F.k_B * T * e / V_ch * (P0 * V_ch / (F.k_B * T * e) + (X0 - X) / 2)


def J_vs(T, surf_conc, X):
    J_ads = (
        2
        * S0(T)
        * (1 - surf_conc / n_surf) ** 2
        * P_H2(T, X)
        / (2 * np.pi * M_H2 * F.k_B * T * e) ** 0.5
    )
    J_des = 2 * k_des * surf_conc**2 * f.exp(-E_des / F.k_B / T)
    return J_ads - J_des


def K_sb(T, surf_conc, X):
    return k_sb * f.exp(-E_sb / F.k_B / T)


def K_bs(T, surf_conc, X):
    return k_bs * f.exp(-E_bs / F.k_B / T)


################### CUSTOM MODEL CLASS ###################
class CustomSimulation(F.Simulation):
    def iterate(self):
        super().iterate()

        # Compute Content
        surf = f.assemble(
            self.h_transport_problem.boundary_conditions[0].solutions[0]
            * self.mesh.ds(1)
        )
        X = 2 * (f.assemble(self.mobile.solution * self.mesh.dx) + surf) * A

        # Normalised content parameter
        self.h_transport_problem.boundary_conditions[0].prms["X"].assign(X)


def run_sim(T0):
    Ti_model_impl = CustomSimulation()

    # Mesh
    vertices = np.linspace(0, L, num=1000)

    Ti_model_impl.mesh = F.MeshFromVertices(vertices)

    # Materials
    Ti_model_impl.materials = F.Material(id=1, D_0=D0, E_D=E_diff)

    surf_conc = F.SurfaceKinetics(
        k_bs=K_bs,
        k_sb=K_sb,
        lambda_IS=lambda_Ti,
        n_surf=n_surf,
        n_IS=n_IS,
        J_vs=J_vs,
        surfaces=1,
        initial_condition=0,
        X=0,
    )

    # Boundary conditions
    Ti_model_impl.boundary_conditions = [surf_conc]

    # Homogenous temperature
    Ti_model_impl.T = F.Temperature(value=T0)

    # Exports
    derived_quantities = F.DerivedQuantities(
        [F.AdsorbedHydrogen(surface=1), F.TotalVolume(field="solute", volume=1)],
        show_units=True,
    )

    Ti_model_impl.exports = [derived_quantities]

    Ti_model_impl.dt = F.Stepsize(
        initial_value=1e-3, stepsize_change_ratio=1.1, max_stepsize=5, dt_min=1e-5
    )

    Ti_model_impl.settings = F.Settings(
        absolute_tolerance=1e6,
        relative_tolerance=1e-4,
        maximum_iterations=50,
        final_time=25 * 60,
    )

    Ti_model_impl.initialise()
    Ti_model_impl.run()

    return derived_quantities


results = {}

for T0 in T_list:
    results[T0] = run_sim(T0)

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Defining initial values
Defining variational problem
Defining source terms
Defining boundary conditions
Time stepping...
Calling FFC just-in-time (JIT) compiler, this may take some time.

Calling FFC just-in-time (JIT) compiler, this may take some time.

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Calling FFC just-in-time (JIT) compiler, this may take some time.

Calling FFC just-in-time (JIT) compiler, this may take some time.

Calling FFC just-in-time (JIT) compiler, this may take some time.

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53.2 %        8.0e+02 s    Elapsed time so far: 4.2 s
53.5 %        8.0e+02 s    Elapsed time so far: 4.2 s
53.9 %        8.1e+02 s    Elapsed time so far: 4.2 s
54.2 %        8.1e+02 s    Elapsed time so far: 4.2 s
54.5 %        8.2e+02 s    Elapsed time so far: 4.2 s
54.9 %        8.2e+02 s    Elapsed time so far: 4.2 s
55.2 %        8.3e+02 s    Elapsed time so far: 4.3 s
55.5 %        8.3e+02 s    Elapsed time so far: 4.3 s
55.9 %        8.4e+02 s    Elapsed time so far: 4.3 s
56.2 %        8.4e+02 s    Elapsed time so far: 4.3 s
56.5 %        8.5e+02 s    Elapsed time so far: 4.3 s
56.9 %        8.5e+02 s    Elapsed time so far: 4.3 s
57.2 %        8.6e+02 s    Elapsed time so far: 4.3 s
57.5 %        8.6e+02 s    Elapsed time so far: 4.3 s
57.9 %        8.7e+02 s    Elapsed time so far: 4.3 s
58.2 %        8.7e+02 s    Elapsed time so far: 4.3 s
58.5 %        8.8e+02 s    Elapsed time so far: 4.3 s
58.9 %        8.8e+02 s    Elapsed time so far: 4.4 s
59.2 %        8.9e+02 s    Elapsed time so far: 4.4 s
59.5 %        8.9e+02 s    Elapsed time so far: 4.4 s
59.9 %        9.0e+02 s    Elapsed time so far: 4.4 s
60.2 %        9.0e+02 s    Elapsed time so far: 4.4 s

60.5 %        9.1e+02 s    Elapsed time so far: 4.4 s
60.9 %        9.1e+02 s    Elapsed time so far: 4.4 s
61.2 %        9.2e+02 s    Elapsed time so far: 4.4 s
61.5 %        9.2e+02 s    Elapsed time so far: 4.4 s
61.9 %        9.3e+02 s    Elapsed time so far: 4.4 s
62.2 %        9.3e+02 s    Elapsed time so far: 4.4 s
62.5 %        9.4e+02 s    Elapsed time so far: 4.4 s
62.9 %        9.4e+02 s    Elapsed time so far: 4.4 s
63.2 %        9.5e+02 s    Elapsed time so far: 4.5 s
63.5 %        9.5e+02 s    Elapsed time so far: 4.5 s
63.9 %        9.6e+02 s    Elapsed time so far: 4.5 s
64.2 %        9.6e+02 s    Elapsed time so far: 4.5 s
64.5 %        9.7e+02 s    Elapsed time so far: 4.5 s
64.9 %        9.7e+02 s    Elapsed time so far: 4.5 s
65.2 %        9.8e+02 s    Elapsed time so far: 4.5 s
65.5 %        9.8e+02 s    Elapsed time so far: 4.5 s
65.9 %        9.9e+02 s    Elapsed time so far: 4.5 s
66.2 %        9.9e+02 s    Elapsed time so far: 4.5 s
66.5 %        1.0e+03 s    Elapsed time so far: 4.5 s
66.9 %        1.0e+03 s    Elapsed time so far: 4.5 s
67.2 %        1.0e+03 s    Elapsed time so far: 4.5 s
67.5 %        1.0e+03 s    Elapsed time so far: 4.5 s
67.9 %        1.0e+03 s    Elapsed time so far: 4.6 s
68.2 %        1.0e+03 s    Elapsed time so far: 4.6 s
68.5 %        1.0e+03 s    Elapsed time so far: 4.6 s
68.9 %        1.0e+03 s    Elapsed time so far: 4.6 s
69.2 %        1.0e+03 s    Elapsed time so far: 4.6 s
69.5 %        1.0e+03 s    Elapsed time so far: 4.6 s
69.9 %        1.0e+03 s    Elapsed time so far: 4.6 s
70.2 %        1.1e+03 s    Elapsed time so far: 4.6 s
70.5 %        1.1e+03 s    Elapsed time so far: 4.6 s
70.9 %        1.1e+03 s    Elapsed time so far: 4.6 s
71.2 %        1.1e+03 s    Elapsed time so far: 4.6 s
71.5 %        1.1e+03 s    Elapsed time so far: 4.6 s
71.9 %        1.1e+03 s    Elapsed time so far: 4.6 s
72.2 %        1.1e+03 s    Elapsed time so far: 4.7 s

72.5 %        1.1e+03 s    Elapsed time so far: 4.7 s
72.9 %        1.1e+03 s    Elapsed time so far: 4.7 s
73.2 %        1.1e+03 s    Elapsed time so far: 4.7 s
73.5 %        1.1e+03 s    Elapsed time so far: 4.7 s
73.9 %        1.1e+03 s    Elapsed time so far: 4.7 s
74.2 %        1.1e+03 s    Elapsed time so far: 4.7 s
74.5 %        1.1e+03 s    Elapsed time so far: 4.7 s
74.9 %        1.1e+03 s    Elapsed time so far: 4.7 s
75.2 %        1.1e+03 s    Elapsed time so far: 4.7 s
75.5 %        1.1e+03 s    Elapsed time so far: 4.7 s
75.9 %        1.1e+03 s    Elapsed time so far: 4.7 s
76.2 %        1.1e+03 s    Elapsed time so far: 4.7 s
76.5 %        1.1e+03 s    Elapsed time so far: 4.8 s
76.9 %        1.2e+03 s    Elapsed time so far: 4.8 s
77.2 %        1.2e+03 s    Elapsed time so far: 4.8 s
77.5 %        1.2e+03 s    Elapsed time so far: 4.8 s
77.9 %        1.2e+03 s    Elapsed time so far: 4.8 s
78.2 %        1.2e+03 s    Elapsed time so far: 4.8 s
78.5 %        1.2e+03 s    Elapsed time so far: 4.8 s
78.9 %        1.2e+03 s    Elapsed time so far: 4.8 s
79.2 %        1.2e+03 s    Elapsed time so far: 4.8 s
79.5 %        1.2e+03 s    Elapsed time so far: 4.8 s
79.9 %        1.2e+03 s    Elapsed time so far: 4.8 s
80.2 %        1.2e+03 s    Elapsed time so far: 4.8 s
80.5 %        1.2e+03 s    Elapsed time so far: 4.8 s
80.9 %        1.2e+03 s    Elapsed time so far: 4.8 s
81.2 %        1.2e+03 s    Elapsed time so far: 4.9 s
81.5 %        1.2e+03 s    Elapsed time so far: 4.9 s
81.9 %        1.2e+03 s    Elapsed time so far: 4.9 s
82.2 %        1.2e+03 s    Elapsed time so far: 4.9 s
82.5 %        1.2e+03 s    Elapsed time so far: 4.9 s
82.9 %        1.2e+03 s    Elapsed time so far: 4.9 s
83.2 %        1.2e+03 s    Elapsed time so far: 4.9 s
83.5 %        1.3e+03 s    Elapsed time so far: 4.9 s
83.9 %        1.3e+03 s    Elapsed time so far: 4.9 s
84.2 %        1.3e+03 s    Elapsed time so far: 4.9 s

84.5 %        1.3e+03 s    Elapsed time so far: 4.9 s
84.9 %        1.3e+03 s    Elapsed time so far: 4.9 s
85.2 %        1.3e+03 s    Elapsed time so far: 4.9 s
85.5 %        1.3e+03 s    Elapsed time so far: 4.9 s
85.9 %        1.3e+03 s    Elapsed time so far: 5.0 s
86.2 %        1.3e+03 s    Elapsed time so far: 5.0 s
86.5 %        1.3e+03 s    Elapsed time so far: 5.0 s
86.9 %        1.3e+03 s    Elapsed time so far: 5.0 s
87.2 %        1.3e+03 s    Elapsed time so far: 5.0 s
87.5 %        1.3e+03 s    Elapsed time so far: 5.0 s
87.9 %        1.3e+03 s    Elapsed time so far: 5.0 s
88.2 %        1.3e+03 s    Elapsed time so far: 5.0 s
88.5 %        1.3e+03 s    Elapsed time so far: 5.0 s
88.9 %        1.3e+03 s    Elapsed time so far: 5.0 s
89.2 %        1.3e+03 s    Elapsed time so far: 5.0 s
89.5 %        1.3e+03 s    Elapsed time so far: 5.0 s
89.9 %        1.3e+03 s    Elapsed time so far: 5.0 s
90.2 %        1.4e+03 s    Elapsed time so far: 5.1 s
90.5 %        1.4e+03 s    Elapsed time so far: 5.1 s
90.9 %        1.4e+03 s    Elapsed time so far: 5.1 s
91.2 %        1.4e+03 s    Elapsed time so far: 5.1 s
91.5 %        1.4e+03 s    Elapsed time so far: 5.1 s
91.9 %        1.4e+03 s    Elapsed time so far: 5.1 s
92.2 %        1.4e+03 s    Elapsed time so far: 5.1 s
92.5 %        1.4e+03 s    Elapsed time so far: 5.1 s
92.9 %        1.4e+03 s    Elapsed time so far: 5.1 s
93.2 %        1.4e+03 s    Elapsed time so far: 5.1 s
93.5 %        1.4e+03 s    Elapsed time so far: 5.1 s
93.9 %        1.4e+03 s    Elapsed time so far: 5.1 s
94.2 %        1.4e+03 s    Elapsed time so far: 5.1 s

94.5 %        1.4e+03 s    Elapsed time so far: 5.1 s
94.9 %        1.4e+03 s    Elapsed time so far: 5.2 s
95.2 %        1.4e+03 s    Elapsed time so far: 5.2 s
95.5 %        1.4e+03 s    Elapsed time so far: 5.2 s
95.9 %        1.4e+03 s    Elapsed time so far: 5.2 s
96.2 %        1.4e+03 s    Elapsed time so far: 5.2 s
96.5 %        1.4e+03 s    Elapsed time so far: 5.2 s
96.9 %        1.5e+03 s    Elapsed time so far: 5.2 s
97.2 %        1.5e+03 s    Elapsed time so far: 5.2 s
97.5 %        1.5e+03 s    Elapsed time so far: 5.2 s
97.9 %        1.5e+03 s    Elapsed time so far: 5.2 s
98.2 %        1.5e+03 s    Elapsed time so far: 5.2 s
98.5 %        1.5e+03 s    Elapsed time so far: 5.2 s
98.9 %        1.5e+03 s    Elapsed time so far: 5.2 s
99.2 %        1.5e+03 s    Elapsed time so far: 5.2 s
99.5 %        1.5e+03 s    Elapsed time so far: 5.2 s
99.9 %        1.5e+03 s    Elapsed time so far: 5.3 s
100.0 %        1.5e+03 s    Elapsed time so far: 5.3 s

Defining initial values
Defining variational problem
Defining source terms
Defining boundary conditions
Time stepping...
0.0 %        1.0e-03 s    Elapsed time so far: 0.0 s
0.0 %        2.1e-03 s    Elapsed time so far: 0.0 s
0.0 %        3.3e-03 s    Elapsed time so far: 0.0 s
0.0 %        4.6e-03 s    Elapsed time so far: 0.0 s
0.0 %        6.1e-03 s    Elapsed time so far: 0.0 s
0.0 %        7.7e-03 s    Elapsed time so far: 0.1 s
0.0 %        9.5e-03 s    Elapsed time so far: 0.1 s
0.0 %        1.1e-02 s    Elapsed time so far: 0.1 s
0.0 %        1.4e-02 s    Elapsed time so far: 0.1 s
0.0 %        1.6e-02 s    Elapsed time so far: 0.1 s
0.0 %        1.9e-02 s    Elapsed time so far: 0.1 s
0.0 %        2.1e-02 s    Elapsed time so far: 0.1 s
0.0 %        2.5e-02 s    Elapsed time so far: 0.1 s
0.0 %        2.8e-02 s    Elapsed time so far: 0.1 s
0.0 %        3.2e-02 s    Elapsed time so far: 0.1 s
0.0 %        3.6e-02 s    Elapsed time so far: 0.1 s
0.0 %        4.1e-02 s    Elapsed time so far: 0.1 s
0.0 %        4.6e-02 s    Elapsed time so far: 0.1 s
0.0 %        5.1e-02 s    Elapsed time so far: 0.1 s
0.0 %        5.7e-02 s    Elapsed time so far: 0.2 s
0.0 %        6.4e-02 s    Elapsed time so far: 0.2 s
0.0 %        7.1e-02 s    Elapsed time so far: 0.2 s
0.0 %        8.0e-02 s    Elapsed time so far: 0.2 s
0.0 %        8.8e-02 s    Elapsed time so far: 0.2 s
0.0 %        9.8e-02 s    Elapsed time so far: 0.2 s
0.0 %        1.1e-01 s    Elapsed time so far: 0.2 s
0.0 %        1.2e-01 s    Elapsed time so far: 0.2 s

0.0 %        1.3e-01 s    Elapsed time so far: 0.2 s
0.0 %        1.5e-01 s    Elapsed time so far: 0.2 s
0.0 %        1.6e-01 s    Elapsed time so far: 0.2 s
0.0 %        1.8e-01 s    Elapsed time so far: 0.2 s
0.0 %        2.0e-01 s    Elapsed time so far: 0.2 s
0.0 %        2.2e-01 s    Elapsed time so far: 0.2 s
0.0 %        2.5e-01 s    Elapsed time so far: 0.3 s
0.0 %        2.7e-01 s    Elapsed time so far: 0.3 s
0.0 %        3.0e-01 s    Elapsed time so far: 0.3 s
0.0 %        3.3e-01 s    Elapsed time so far: 0.3 s
0.0 %        3.6e-01 s    Elapsed time so far: 0.3 s
0.0 %        4.0e-01 s    Elapsed time so far: 0.3 s
0.0 %        4.4e-01 s    Elapsed time so far: 0.3 s
0.0 %        4.9e-01 s    Elapsed time so far: 0.3 s
0.0 %        5.4e-01 s    Elapsed time so far: 0.3 s
0.0 %        5.9e-01 s    Elapsed time so far: 0.3 s
0.0 %        6.5e-01 s    Elapsed time so far: 0.3 s
0.1 %        7.2e-01 s    Elapsed time so far: 0.3 s
0.1 %        7.9e-01 s    Elapsed time so far: 0.3 s
0.1 %        8.7e-01 s    Elapsed time so far: 0.4 s
0.1 %        9.6e-01 s    Elapsed time so far: 0.4 s
0.1 %        1.1e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.2e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.3e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.4e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.6e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.7e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.9e+00 s    Elapsed time so far: 0.4 s
0.1 %        2.1e+00 s    Elapsed time so far: 0.4 s
0.1 %        2.3e+00 s    Elapsed time so far: 0.4 s
0.2 %        2.5e+00 s    Elapsed time so far: 0.4 s
0.2 %        2.8e+00 s    Elapsed time so far: 0.4 s

0.2 %        3.0e+00 s    Elapsed time so far: 0.5 s
0.2 %        3.3e+00 s    Elapsed time so far: 0.5 s
0.2 %        3.7e+00 s    Elapsed time so far: 0.5 s
0.3 %        4.0e+00 s    Elapsed time so far: 0.5 s
0.3 %        4.4e+00 s    Elapsed time so far: 0.5 s
0.3 %        4.9e+00 s    Elapsed time so far: 0.5 s
0.4 %        5.4e+00 s    Elapsed time so far: 0.5 s
0.4 %        5.9e+00 s    Elapsed time so far: 0.5 s
0.4 %        6.5e+00 s    Elapsed time so far: 0.5 s
0.5 %        7.2e+00 s    Elapsed time so far: 0.5 s
0.5 %        7.9e+00 s    Elapsed time so far: 0.5 s
0.6 %        8.7e+00 s    Elapsed time so far: 0.5 s
0.6 %        9.5e+00 s    Elapsed time so far: 0.5 s
0.7 %        1.1e+01 s    Elapsed time so far: 0.6 s
0.8 %        1.2e+01 s    Elapsed time so far: 0.6 s
0.8 %        1.3e+01 s    Elapsed time so far: 0.6 s
0.9 %        1.4e+01 s    Elapsed time so far: 0.6 s
1.0 %        1.5e+01 s    Elapsed time so far: 0.6 s
1.1 %        1.7e+01 s    Elapsed time so far: 0.6 s
1.2 %        1.9e+01 s    Elapsed time so far: 0.6 s
1.4 %        2.0e+01 s    Elapsed time so far: 0.6 s
1.5 %        2.3e+01 s    Elapsed time so far: 0.6 s
1.6 %        2.5e+01 s    Elapsed time so far: 0.6 s
1.8 %        2.7e+01 s    Elapsed time so far: 0.6 s
2.0 %        3.0e+01 s    Elapsed time so far: 0.6 s
2.2 %        3.3e+01 s    Elapsed time so far: 0.6 s
2.4 %        3.6e+01 s    Elapsed time so far: 0.6 s
2.7 %        4.0e+01 s    Elapsed time so far: 0.7 s
2.9 %        4.4e+01 s    Elapsed time so far: 0.7 s
3.2 %        4.8e+01 s    Elapsed time so far: 0.7 s
3.5 %        5.3e+01 s    Elapsed time so far: 0.7 s
3.9 %        5.8e+01 s    Elapsed time so far: 0.7 s
4.2 %        6.3e+01 s    Elapsed time so far: 0.7 s
4.5 %        6.8e+01 s    Elapsed time so far: 0.7 s
4.9 %        7.3e+01 s    Elapsed time so far: 0.7 s

5.2 %        7.8e+01 s    Elapsed time so far: 0.7 s
5.5 %        8.3e+01 s    Elapsed time so far: 0.7 s
5.9 %        8.8e+01 s    Elapsed time so far: 0.7 s
6.2 %        9.3e+01 s    Elapsed time so far: 0.7 s
6.5 %        9.8e+01 s    Elapsed time so far: 0.7 s
6.9 %        1.0e+02 s    Elapsed time so far: 0.8 s
7.2 %        1.1e+02 s    Elapsed time so far: 0.8 s
7.5 %        1.1e+02 s    Elapsed time so far: 0.8 s
7.9 %        1.2e+02 s    Elapsed time so far: 0.8 s
8.2 %        1.2e+02 s    Elapsed time so far: 0.8 s
8.5 %        1.3e+02 s    Elapsed time so far: 0.8 s
8.9 %        1.3e+02 s    Elapsed time so far: 0.8 s
9.2 %        1.4e+02 s    Elapsed time so far: 0.8 s
9.5 %        1.4e+02 s    Elapsed time so far: 0.8 s
9.9 %        1.5e+02 s    Elapsed time so far: 0.8 s
10.2 %        1.5e+02 s    Elapsed time so far: 0.8 s
10.5 %        1.6e+02 s    Elapsed time so far: 0.8 s
10.9 %        1.6e+02 s    Elapsed time so far: 0.8 s
11.2 %        1.7e+02 s    Elapsed time so far: 0.9 s
11.5 %        1.7e+02 s    Elapsed time so far: 0.9 s
11.9 %        1.8e+02 s    Elapsed time so far: 0.9 s
12.2 %        1.8e+02 s    Elapsed time so far: 0.9 s
12.5 %        1.9e+02 s    Elapsed time so far: 0.9 s
12.9 %        1.9e+02 s    Elapsed time so far: 0.9 s
13.2 %        2.0e+02 s    Elapsed time so far: 0.9 s
13.5 %        2.0e+02 s    Elapsed time so far: 0.9 s
13.9 %        2.1e+02 s    Elapsed time so far: 0.9 s
14.2 %        2.1e+02 s    Elapsed time so far: 0.9 s
14.5 %        2.2e+02 s    Elapsed time so far: 0.9 s
14.9 %        2.2e+02 s    Elapsed time so far: 0.9 s
15.2 %        2.3e+02 s    Elapsed time so far: 0.9 s
15.5 %        2.3e+02 s    Elapsed time so far: 0.9 s
15.9 %        2.4e+02 s    Elapsed time so far: 1.0 s
16.2 %        2.4e+02 s    Elapsed time so far: 1.0 s
16.5 %        2.5e+02 s    Elapsed time so far: 1.0 s
16.9 %        2.5e+02 s    Elapsed time so far: 1.0 s

17.2 %        2.6e+02 s    Elapsed time so far: 1.0 s
17.5 %        2.6e+02 s    Elapsed time so far: 1.0 s
17.9 %        2.7e+02 s    Elapsed time so far: 1.0 s
18.2 %        2.7e+02 s    Elapsed time so far: 1.0 s
18.5 %        2.8e+02 s    Elapsed time so far: 1.0 s
18.9 %        2.8e+02 s    Elapsed time so far: 1.0 s
19.2 %        2.9e+02 s    Elapsed time so far: 1.0 s
19.5 %        2.9e+02 s    Elapsed time so far: 1.0 s
19.9 %        3.0e+02 s    Elapsed time so far: 1.0 s
20.2 %        3.0e+02 s    Elapsed time so far: 1.0 s
20.5 %        3.1e+02 s    Elapsed time so far: 1.1 s
20.9 %        3.1e+02 s    Elapsed time so far: 1.1 s
21.2 %        3.2e+02 s    Elapsed time so far: 1.1 s
21.5 %        3.2e+02 s    Elapsed time so far: 1.1 s
21.9 %        3.3e+02 s    Elapsed time so far: 1.1 s
22.2 %        3.3e+02 s    Elapsed time so far: 1.1 s
22.5 %        3.4e+02 s    Elapsed time so far: 1.1 s
22.9 %        3.4e+02 s    Elapsed time so far: 1.1 s
23.2 %        3.5e+02 s    Elapsed time so far: 1.1 s
23.5 %        3.5e+02 s    Elapsed time so far: 1.1 s
23.9 %        3.6e+02 s    Elapsed time so far: 1.1 s
24.2 %        3.6e+02 s    Elapsed time so far: 1.1 s
24.5 %        3.7e+02 s    Elapsed time so far: 1.1 s
24.9 %        3.7e+02 s    Elapsed time so far: 1.2 s
25.2 %        3.8e+02 s    Elapsed time so far: 1.2 s
25.5 %        3.8e+02 s    Elapsed time so far: 1.2 s
25.9 %        3.9e+02 s    Elapsed time so far: 1.2 s
26.2 %        3.9e+02 s    Elapsed time so far: 1.2 s
26.5 %        4.0e+02 s    Elapsed time so far: 1.2 s
26.9 %        4.0e+02 s    Elapsed time so far: 1.2 s
27.2 %        4.1e+02 s    Elapsed time so far: 1.2 s
27.5 %        4.1e+02 s    Elapsed time so far: 1.2 s
27.9 %        4.2e+02 s    Elapsed time so far: 1.2 s
28.2 %        4.2e+02 s    Elapsed time so far: 1.2 s
28.5 %        4.3e+02 s    Elapsed time so far: 1.2 s
28.9 %        4.3e+02 s    Elapsed time so far: 1.2 s

29.2 %        4.4e+02 s    Elapsed time so far: 1.2 s
29.5 %        4.4e+02 s    Elapsed time so far: 1.2 s
29.9 %        4.5e+02 s    Elapsed time so far: 1.3 s
30.2 %        4.5e+02 s    Elapsed time so far: 1.3 s
30.5 %        4.6e+02 s    Elapsed time so far: 1.3 s
30.9 %        4.6e+02 s    Elapsed time so far: 1.3 s
31.2 %        4.7e+02 s    Elapsed time so far: 1.3 s
31.5 %        4.7e+02 s    Elapsed time so far: 1.3 s
31.9 %        4.8e+02 s    Elapsed time so far: 1.3 s
32.2 %        4.8e+02 s    Elapsed time so far: 1.3 s
32.5 %        4.9e+02 s    Elapsed time so far: 1.3 s
32.9 %        4.9e+02 s    Elapsed time so far: 1.3 s
33.2 %        5.0e+02 s    Elapsed time so far: 1.3 s
33.5 %        5.0e+02 s    Elapsed time so far: 1.3 s
33.9 %        5.1e+02 s    Elapsed time so far: 1.4 s
34.2 %        5.1e+02 s    Elapsed time so far: 1.4 s
34.5 %        5.2e+02 s    Elapsed time so far: 1.4 s
34.9 %        5.2e+02 s    Elapsed time so far: 1.4 s
35.2 %        5.3e+02 s    Elapsed time so far: 1.4 s
35.5 %        5.3e+02 s    Elapsed time so far: 1.4 s
35.9 %        5.4e+02 s    Elapsed time so far: 1.4 s
36.2 %        5.4e+02 s    Elapsed time so far: 1.4 s
36.5 %        5.5e+02 s    Elapsed time so far: 1.4 s
36.9 %        5.5e+02 s    Elapsed time so far: 1.4 s
37.2 %        5.6e+02 s    Elapsed time so far: 1.4 s
37.5 %        5.6e+02 s    Elapsed time so far: 1.4 s
37.9 %        5.7e+02 s    Elapsed time so far: 1.4 s
38.2 %        5.7e+02 s    Elapsed time so far: 1.4 s
38.5 %        5.8e+02 s    Elapsed time so far: 1.5 s
38.9 %        5.8e+02 s    Elapsed time so far: 1.5 s
39.2 %        5.9e+02 s    Elapsed time so far: 1.5 s
39.5 %        5.9e+02 s    Elapsed time so far: 1.5 s
39.9 %        6.0e+02 s    Elapsed time so far: 1.5 s
40.2 %        6.0e+02 s    Elapsed time so far: 1.5 s
40.5 %        6.1e+02 s    Elapsed time so far: 1.5 s
40.9 %        6.1e+02 s    Elapsed time so far: 1.5 s

41.2 %        6.2e+02 s    Elapsed time so far: 1.5 s
41.5 %        6.2e+02 s    Elapsed time so far: 1.5 s
41.9 %        6.3e+02 s    Elapsed time so far: 1.5 s
42.2 %        6.3e+02 s    Elapsed time so far: 1.5 s
42.5 %        6.4e+02 s    Elapsed time so far: 1.5 s
42.9 %        6.4e+02 s    Elapsed time so far: 1.6 s
43.2 %        6.5e+02 s    Elapsed time so far: 1.6 s
43.5 %        6.5e+02 s    Elapsed time so far: 1.6 s
43.9 %        6.6e+02 s    Elapsed time so far: 1.6 s
44.2 %        6.6e+02 s    Elapsed time so far: 1.6 s
44.5 %        6.7e+02 s    Elapsed time so far: 1.6 s
44.9 %        6.7e+02 s    Elapsed time so far: 1.6 s
45.2 %        6.8e+02 s    Elapsed time so far: 1.6 s
45.5 %        6.8e+02 s    Elapsed time so far: 1.6 s
45.9 %        6.9e+02 s    Elapsed time so far: 1.6 s
46.2 %        6.9e+02 s    Elapsed time so far: 1.6 s
46.5 %        7.0e+02 s    Elapsed time so far: 1.6 s
46.9 %        7.0e+02 s    Elapsed time so far: 1.6 s
47.2 %        7.1e+02 s    Elapsed time so far: 1.7 s
47.5 %        7.1e+02 s    Elapsed time so far: 1.7 s
47.9 %        7.2e+02 s    Elapsed time so far: 1.7 s
48.2 %        7.2e+02 s    Elapsed time so far: 1.7 s
48.5 %        7.3e+02 s    Elapsed time so far: 1.7 s
48.9 %        7.3e+02 s    Elapsed time so far: 1.7 s
49.2 %        7.4e+02 s    Elapsed time so far: 1.7 s
49.5 %        7.4e+02 s    Elapsed time so far: 1.7 s
49.9 %        7.5e+02 s    Elapsed time so far: 1.7 s
50.2 %        7.5e+02 s    Elapsed time so far: 1.7 s
50.5 %        7.6e+02 s    Elapsed time so far: 1.7 s
50.9 %        7.6e+02 s    Elapsed time so far: 1.7 s
51.2 %        7.7e+02 s    Elapsed time so far: 1.7 s
51.5 %        7.7e+02 s    Elapsed time so far: 1.7 s
51.9 %        7.8e+02 s    Elapsed time so far: 1.8 s
52.2 %        7.8e+02 s    Elapsed time so far: 1.8 s
52.5 %        7.9e+02 s    Elapsed time so far: 1.8 s

52.9 %        7.9e+02 s    Elapsed time so far: 1.8 s
53.2 %        8.0e+02 s    Elapsed time so far: 1.8 s
53.5 %        8.0e+02 s    Elapsed time so far: 1.8 s
53.9 %        8.1e+02 s    Elapsed time so far: 1.8 s
54.2 %        8.1e+02 s    Elapsed time so far: 1.8 s
54.5 %        8.2e+02 s    Elapsed time so far: 1.8 s
54.9 %        8.2e+02 s    Elapsed time so far: 1.8 s
55.2 %        8.3e+02 s    Elapsed time so far: 1.8 s
55.5 %        8.3e+02 s    Elapsed time so far: 1.9 s
55.9 %        8.4e+02 s    Elapsed time so far: 1.9 s
56.2 %        8.4e+02 s    Elapsed time so far: 1.9 s
56.5 %        8.5e+02 s    Elapsed time so far: 1.9 s
56.9 %        8.5e+02 s    Elapsed time so far: 1.9 s
57.2 %        8.6e+02 s    Elapsed time so far: 1.9 s
57.5 %        8.6e+02 s    Elapsed time so far: 1.9 s
57.9 %        8.7e+02 s    Elapsed time so far: 1.9 s
58.2 %        8.7e+02 s    Elapsed time so far: 1.9 s
58.5 %        8.8e+02 s    Elapsed time so far: 1.9 s
58.9 %        8.8e+02 s    Elapsed time so far: 1.9 s
59.2 %        8.9e+02 s    Elapsed time so far: 2.0 s
59.5 %        8.9e+02 s    Elapsed time so far: 2.0 s
59.9 %        9.0e+02 s    Elapsed time so far: 2.0 s
60.2 %        9.0e+02 s    Elapsed time so far: 2.0 s
60.5 %        9.1e+02 s    Elapsed time so far: 2.0 s
60.9 %        9.1e+02 s    Elapsed time so far: 2.0 s
61.2 %        9.2e+02 s    Elapsed time so far: 2.0 s
61.5 %        9.2e+02 s    Elapsed time so far: 2.0 s
61.9 %        9.3e+02 s    Elapsed time so far: 2.0 s
62.2 %        9.3e+02 s    Elapsed time so far: 2.0 s
62.5 %        9.4e+02 s    Elapsed time so far: 2.0 s
62.9 %        9.4e+02 s    Elapsed time so far: 2.0 s

63.2 %        9.5e+02 s    Elapsed time so far: 2.1 s
63.5 %        9.5e+02 s    Elapsed time so far: 2.1 s
63.9 %        9.6e+02 s    Elapsed time so far: 2.1 s
64.2 %        9.6e+02 s    Elapsed time so far: 2.1 s
64.5 %        9.7e+02 s    Elapsed time so far: 2.1 s
64.9 %        9.7e+02 s    Elapsed time so far: 2.1 s
65.2 %        9.8e+02 s    Elapsed time so far: 2.1 s
65.5 %        9.8e+02 s    Elapsed time so far: 2.1 s
65.9 %        9.9e+02 s    Elapsed time so far: 2.1 s
66.2 %        9.9e+02 s    Elapsed time so far: 2.1 s
66.5 %        1.0e+03 s    Elapsed time so far: 2.2 s
66.9 %        1.0e+03 s    Elapsed time so far: 2.2 s
67.2 %        1.0e+03 s    Elapsed time so far: 2.2 s
67.5 %        1.0e+03 s    Elapsed time so far: 2.2 s
67.9 %        1.0e+03 s    Elapsed time so far: 2.2 s
68.2 %        1.0e+03 s    Elapsed time so far: 2.2 s
68.5 %        1.0e+03 s    Elapsed time so far: 2.2 s
68.9 %        1.0e+03 s    Elapsed time so far: 2.2 s
69.2 %        1.0e+03 s    Elapsed time so far: 2.2 s
69.5 %        1.0e+03 s    Elapsed time so far: 2.2 s
69.9 %        1.0e+03 s    Elapsed time so far: 2.2 s
70.2 %        1.1e+03 s    Elapsed time so far: 2.2 s
70.5 %        1.1e+03 s    Elapsed time so far: 2.2 s
70.9 %        1.1e+03 s    Elapsed time so far: 2.3 s
71.2 %        1.1e+03 s    Elapsed time so far: 2.3 s
71.5 %        1.1e+03 s    Elapsed time so far: 2.3 s
71.9 %        1.1e+03 s    Elapsed time so far: 2.3 s
72.2 %        1.1e+03 s    Elapsed time so far: 2.3 s
72.5 %        1.1e+03 s    Elapsed time so far: 2.3 s
72.9 %        1.1e+03 s    Elapsed time so far: 2.3 s
73.2 %        1.1e+03 s    Elapsed time so far: 2.3 s

73.5 %        1.1e+03 s    Elapsed time so far: 2.3 s
73.9 %        1.1e+03 s    Elapsed time so far: 2.3 s
74.2 %        1.1e+03 s    Elapsed time so far: 2.4 s
74.5 %        1.1e+03 s    Elapsed time so far: 2.4 s
74.9 %        1.1e+03 s    Elapsed time so far: 2.4 s
75.2 %        1.1e+03 s    Elapsed time so far: 2.4 s
75.5 %        1.1e+03 s    Elapsed time so far: 2.4 s
75.9 %        1.1e+03 s    Elapsed time so far: 2.4 s
76.2 %        1.1e+03 s    Elapsed time so far: 2.4 s
76.5 %        1.1e+03 s    Elapsed time so far: 2.4 s
76.9 %        1.2e+03 s    Elapsed time so far: 2.5 s
77.2 %        1.2e+03 s    Elapsed time so far: 2.5 s
77.5 %        1.2e+03 s    Elapsed time so far: 2.5 s
77.9 %        1.2e+03 s    Elapsed time so far: 2.5 s
78.2 %        1.2e+03 s    Elapsed time so far: 2.5 s
78.5 %        1.2e+03 s    Elapsed time so far: 2.5 s
78.9 %        1.2e+03 s    Elapsed time so far: 2.5 s
79.2 %        1.2e+03 s    Elapsed time so far: 2.5 s
79.5 %        1.2e+03 s    Elapsed time so far: 2.5 s
79.9 %        1.2e+03 s    Elapsed time so far: 2.5 s
80.2 %        1.2e+03 s    Elapsed time so far: 2.5 s
80.5 %        1.2e+03 s    Elapsed time so far: 2.6 s
80.9 %        1.2e+03 s    Elapsed time so far: 2.6 s

81.2 %        1.2e+03 s    Elapsed time so far: 2.6 s
81.5 %        1.2e+03 s    Elapsed time so far: 2.6 s
81.9 %        1.2e+03 s    Elapsed time so far: 2.6 s
82.2 %        1.2e+03 s    Elapsed time so far: 2.6 s
82.5 %        1.2e+03 s    Elapsed time so far: 2.6 s
82.9 %        1.2e+03 s    Elapsed time so far: 2.6 s
83.2 %        1.2e+03 s    Elapsed time so far: 2.6 s
83.5 %        1.3e+03 s    Elapsed time so far: 2.6 s
83.9 %        1.3e+03 s    Elapsed time so far: 2.6 s
84.2 %        1.3e+03 s    Elapsed time so far: 2.7 s
84.5 %        1.3e+03 s    Elapsed time so far: 2.7 s
84.9 %        1.3e+03 s    Elapsed time so far: 2.7 s
85.2 %        1.3e+03 s    Elapsed time so far: 2.7 s
85.5 %        1.3e+03 s    Elapsed time so far: 2.7 s
85.9 %        1.3e+03 s    Elapsed time so far: 2.7 s
86.2 %        1.3e+03 s    Elapsed time so far: 2.7 s
86.5 %        1.3e+03 s    Elapsed time so far: 2.7 s
86.9 %        1.3e+03 s    Elapsed time so far: 2.7 s
87.2 %        1.3e+03 s    Elapsed time so far: 2.7 s
87.5 %        1.3e+03 s    Elapsed time so far: 2.7 s
87.9 %        1.3e+03 s    Elapsed time so far: 2.8 s
88.2 %        1.3e+03 s    Elapsed time so far: 2.8 s
88.5 %        1.3e+03 s    Elapsed time so far: 2.8 s
88.9 %        1.3e+03 s    Elapsed time so far: 2.8 s
89.2 %        1.3e+03 s    Elapsed time so far: 2.8 s

89.5 %        1.3e+03 s    Elapsed time so far: 2.8 s
89.9 %        1.3e+03 s    Elapsed time so far: 2.8 s
90.2 %        1.4e+03 s    Elapsed time so far: 2.8 s
90.5 %        1.4e+03 s    Elapsed time so far: 2.8 s
90.9 %        1.4e+03 s    Elapsed time so far: 2.8 s
91.2 %        1.4e+03 s    Elapsed time so far: 2.8 s
91.5 %        1.4e+03 s    Elapsed time so far: 2.9 s
91.9 %        1.4e+03 s    Elapsed time so far: 2.9 s
92.2 %        1.4e+03 s    Elapsed time so far: 2.9 s
92.5 %        1.4e+03 s    Elapsed time so far: 2.9 s
92.9 %        1.4e+03 s    Elapsed time so far: 2.9 s
93.2 %        1.4e+03 s    Elapsed time so far: 2.9 s
93.5 %        1.4e+03 s    Elapsed time so far: 2.9 s
93.9 %        1.4e+03 s    Elapsed time so far: 2.9 s
94.2 %        1.4e+03 s    Elapsed time so far: 2.9 s
94.5 %        1.4e+03 s    Elapsed time so far: 2.9 s
94.9 %        1.4e+03 s    Elapsed time so far: 2.9 s
95.2 %        1.4e+03 s    Elapsed time so far: 3.0 s
95.5 %        1.4e+03 s    Elapsed time so far: 3.0 s
95.9 %        1.4e+03 s    Elapsed time so far: 3.0 s
96.2 %        1.4e+03 s    Elapsed time so far: 3.0 s
96.5 %        1.4e+03 s    Elapsed time so far: 3.0 s
96.9 %        1.5e+03 s    Elapsed time so far: 3.0 s
97.2 %        1.5e+03 s    Elapsed time so far: 3.0 s
97.5 %        1.5e+03 s    Elapsed time so far: 3.0 s
97.9 %        1.5e+03 s    Elapsed time so far: 3.0 s
98.2 %        1.5e+03 s    Elapsed time so far: 3.0 s
98.5 %        1.5e+03 s    Elapsed time so far: 3.0 s
98.9 %        1.5e+03 s    Elapsed time so far: 3.0 s
99.2 %        1.5e+03 s    Elapsed time so far: 3.1 s
99.5 %        1.5e+03 s    Elapsed time so far: 3.1 s

99.9 %        1.5e+03 s    Elapsed time so far: 3.1 s
100.0 %        1.5e+03 s    Elapsed time so far: 3.1 s

Defining initial values
Defining variational problem
Defining source terms
Defining boundary conditions
Time stepping...
0.0 %        1.0e-03 s    Elapsed time so far: 0.0 s
0.0 %        2.1e-03 s    Elapsed time so far: 0.0 s
0.0 %        3.3e-03 s    Elapsed time so far: 0.0 s
0.0 %        4.6e-03 s    Elapsed time so far: 0.0 s
0.0 %        6.1e-03 s    Elapsed time so far: 0.0 s
0.0 %        7.7e-03 s    Elapsed time so far: 0.0 s
0.0 %        9.5e-03 s    Elapsed time so far: 0.1 s
0.0 %        1.1e-02 s    Elapsed time so far: 0.1 s
0.0 %        1.4e-02 s    Elapsed time so far: 0.1 s
0.0 %        1.6e-02 s    Elapsed time so far: 0.1 s
0.0 %        1.9e-02 s    Elapsed time so far: 0.1 s
0.0 %        2.1e-02 s    Elapsed time so far: 0.1 s
0.0 %        2.5e-02 s    Elapsed time so far: 0.1 s
0.0 %        2.8e-02 s    Elapsed time so far: 0.1 s
0.0 %        3.2e-02 s    Elapsed time so far: 0.1 s
0.0 %        3.6e-02 s    Elapsed time so far: 0.1 s
0.0 %        4.1e-02 s    Elapsed time so far: 0.1 s
0.0 %        4.6e-02 s    Elapsed time so far: 0.1 s
0.0 %        5.1e-02 s    Elapsed time so far: 0.1 s
0.0 %        5.7e-02 s    Elapsed time so far: 0.1 s
0.0 %        6.4e-02 s    Elapsed time so far: 0.2 s
0.0 %        7.1e-02 s    Elapsed time so far: 0.2 s
0.0 %        8.0e-02 s    Elapsed time so far: 0.2 s
0.0 %        8.8e-02 s    Elapsed time so far: 0.2 s
0.0 %        9.8e-02 s    Elapsed time so far: 0.2 s
0.0 %        1.1e-01 s    Elapsed time so far: 0.2 s
0.0 %        1.2e-01 s    Elapsed time so far: 0.2 s
0.0 %        1.3e-01 s    Elapsed time so far: 0.2 s

0.0 %        1.5e-01 s    Elapsed time so far: 0.2 s
0.0 %        1.6e-01 s    Elapsed time so far: 0.2 s
0.0 %        1.8e-01 s    Elapsed time so far: 0.2 s
0.0 %        2.0e-01 s    Elapsed time so far: 0.2 s
0.0 %        2.2e-01 s    Elapsed time so far: 0.2 s
0.0 %        2.5e-01 s    Elapsed time so far: 0.2 s
0.0 %        2.7e-01 s    Elapsed time so far: 0.2 s
0.0 %        3.0e-01 s    Elapsed time so far: 0.3 s
0.0 %        3.3e-01 s    Elapsed time so far: 0.3 s
0.0 %        3.6e-01 s    Elapsed time so far: 0.3 s
0.0 %        4.0e-01 s    Elapsed time so far: 0.3 s
0.0 %        4.4e-01 s    Elapsed time so far: 0.3 s
0.0 %        4.9e-01 s    Elapsed time so far: 0.3 s
0.0 %        5.4e-01 s    Elapsed time so far: 0.3 s
0.0 %        5.9e-01 s    Elapsed time so far: 0.3 s
0.0 %        6.5e-01 s    Elapsed time so far: 0.3 s
0.1 %        7.2e-01 s    Elapsed time so far: 0.3 s
0.1 %        7.9e-01 s    Elapsed time so far: 0.3 s
0.1 %        8.7e-01 s    Elapsed time so far: 0.3 s
0.1 %        9.6e-01 s    Elapsed time so far: 0.4 s
0.1 %        1.1e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.2e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.3e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.4e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.6e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.7e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.9e+00 s    Elapsed time so far: 0.4 s
0.1 %        2.1e+00 s    Elapsed time so far: 0.4 s
0.1 %        2.3e+00 s    Elapsed time so far: 0.4 s
0.2 %        2.5e+00 s    Elapsed time so far: 0.4 s
0.2 %        2.8e+00 s    Elapsed time so far: 0.4 s
0.2 %        3.0e+00 s    Elapsed time so far: 0.4 s
0.2 %        3.3e+00 s    Elapsed time so far: 0.4 s
0.2 %        3.7e+00 s    Elapsed time so far: 0.5 s
0.3 %        4.0e+00 s    Elapsed time so far: 0.5 s
0.3 %        4.4e+00 s    Elapsed time so far: 0.5 s
0.3 %        4.9e+00 s    Elapsed time so far: 0.5 s

0.4 %        5.4e+00 s    Elapsed time so far: 0.5 s
0.4 %        5.9e+00 s    Elapsed time so far: 0.5 s
0.4 %        6.5e+00 s    Elapsed time so far: 0.5 s
0.5 %        7.2e+00 s    Elapsed time so far: 0.5 s
0.5 %        7.9e+00 s    Elapsed time so far: 0.5 s
0.6 %        8.7e+00 s    Elapsed time so far: 0.5 s
0.6 %        9.5e+00 s    Elapsed time so far: 0.5 s
0.7 %        1.1e+01 s    Elapsed time so far: 0.5 s
0.8 %        1.2e+01 s    Elapsed time so far: 0.5 s
0.8 %        1.3e+01 s    Elapsed time so far: 0.5 s
0.9 %        1.4e+01 s    Elapsed time so far: 0.6 s
1.0 %        1.5e+01 s    Elapsed time so far: 0.6 s
1.1 %        1.7e+01 s    Elapsed time so far: 0.6 s
1.2 %        1.9e+01 s    Elapsed time so far: 0.6 s
1.4 %        2.0e+01 s    Elapsed time so far: 0.6 s
1.5 %        2.3e+01 s    Elapsed time so far: 0.6 s
1.6 %        2.5e+01 s    Elapsed time so far: 0.6 s
1.8 %        2.7e+01 s    Elapsed time so far: 0.6 s
2.0 %        3.0e+01 s    Elapsed time so far: 0.6 s
2.2 %        3.3e+01 s    Elapsed time so far: 0.6 s
2.4 %        3.6e+01 s    Elapsed time so far: 0.6 s
2.7 %        4.0e+01 s    Elapsed time so far: 0.6 s
2.9 %        4.4e+01 s    Elapsed time so far: 0.6 s
3.2 %        4.8e+01 s    Elapsed time so far: 0.6 s
3.5 %        5.3e+01 s    Elapsed time so far: 0.7 s
3.9 %        5.8e+01 s    Elapsed time so far: 0.7 s
4.2 %        6.3e+01 s    Elapsed time so far: 0.7 s
4.5 %        6.8e+01 s    Elapsed time so far: 0.7 s
4.9 %        7.3e+01 s    Elapsed time so far: 0.7 s
5.2 %        7.8e+01 s    Elapsed time so far: 0.7 s
5.5 %        8.3e+01 s    Elapsed time so far: 0.7 s
5.9 %        8.8e+01 s    Elapsed time so far: 0.7 s
6.2 %        9.3e+01 s    Elapsed time so far: 0.7 s
6.5 %        9.8e+01 s    Elapsed time so far: 0.7 s

6.9 %        1.0e+02 s    Elapsed time so far: 0.7 s
7.2 %        1.1e+02 s    Elapsed time so far: 0.8 s
7.5 %        1.1e+02 s    Elapsed time so far: 0.8 s
7.9 %        1.2e+02 s    Elapsed time so far: 0.8 s
8.2 %        1.2e+02 s    Elapsed time so far: 0.8 s
8.5 %        1.3e+02 s    Elapsed time so far: 0.8 s
8.9 %        1.3e+02 s    Elapsed time so far: 0.8 s
9.2 %        1.4e+02 s    Elapsed time so far: 0.8 s
9.5 %        1.4e+02 s    Elapsed time so far: 0.8 s
9.9 %        1.5e+02 s    Elapsed time so far: 0.8 s
10.2 %        1.5e+02 s    Elapsed time so far: 0.8 s
10.5 %        1.6e+02 s    Elapsed time so far: 0.8 s
10.9 %        1.6e+02 s    Elapsed time so far: 0.9 s
11.2 %        1.7e+02 s    Elapsed time so far: 0.9 s
11.5 %        1.7e+02 s    Elapsed time so far: 0.9 s
11.9 %        1.8e+02 s    Elapsed time so far: 0.9 s
12.2 %        1.8e+02 s    Elapsed time so far: 0.9 s
12.5 %        1.9e+02 s    Elapsed time so far: 0.9 s
12.9 %        1.9e+02 s    Elapsed time so far: 0.9 s
13.2 %        2.0e+02 s    Elapsed time so far: 0.9 s
13.5 %        2.0e+02 s    Elapsed time so far: 0.9 s
13.9 %        2.1e+02 s    Elapsed time so far: 0.9 s
14.2 %        2.1e+02 s    Elapsed time so far: 0.9 s
14.5 %        2.2e+02 s    Elapsed time so far: 0.9 s

14.9 %        2.2e+02 s    Elapsed time so far: 1.0 s
15.2 %        2.3e+02 s    Elapsed time so far: 1.0 s
15.5 %        2.3e+02 s    Elapsed time so far: 1.0 s
15.9 %        2.4e+02 s    Elapsed time so far: 1.0 s
16.2 %        2.4e+02 s    Elapsed time so far: 1.0 s
16.5 %        2.5e+02 s    Elapsed time so far: 1.0 s
16.9 %        2.5e+02 s    Elapsed time so far: 1.0 s
17.2 %        2.6e+02 s    Elapsed time so far: 1.0 s
17.5 %        2.6e+02 s    Elapsed time so far: 1.0 s
17.9 %        2.7e+02 s    Elapsed time so far: 1.0 s
18.2 %        2.7e+02 s    Elapsed time so far: 1.0 s
18.5 %        2.8e+02 s    Elapsed time so far: 1.1 s
18.9 %        2.8e+02 s    Elapsed time so far: 1.1 s
19.2 %        2.9e+02 s    Elapsed time so far: 1.1 s
19.5 %        2.9e+02 s    Elapsed time so far: 1.1 s
19.9 %        3.0e+02 s    Elapsed time so far: 1.1 s
20.2 %        3.0e+02 s    Elapsed time so far: 1.1 s
20.5 %        3.1e+02 s    Elapsed time so far: 1.1 s
20.9 %        3.1e+02 s    Elapsed time so far: 1.1 s
21.2 %        3.2e+02 s    Elapsed time so far: 1.1 s
21.5 %        3.2e+02 s    Elapsed time so far: 1.1 s
21.9 %        3.3e+02 s    Elapsed time so far: 1.1 s
22.2 %        3.3e+02 s    Elapsed time so far: 1.2 s
22.5 %        3.4e+02 s    Elapsed time so far: 1.2 s
22.9 %        3.4e+02 s    Elapsed time so far: 1.2 s
23.2 %        3.5e+02 s    Elapsed time so far: 1.2 s
23.5 %        3.5e+02 s    Elapsed time so far: 1.2 s
23.9 %        3.6e+02 s    Elapsed time so far: 1.2 s
24.2 %        3.6e+02 s    Elapsed time so far: 1.2 s
24.5 %        3.7e+02 s    Elapsed time so far: 1.2 s
24.9 %        3.7e+02 s    Elapsed time so far: 1.2 s
25.2 %        3.8e+02 s    Elapsed time so far: 1.2 s

25.5 %        3.8e+02 s    Elapsed time so far: 1.2 s
25.9 %        3.9e+02 s    Elapsed time so far: 1.2 s
26.2 %        3.9e+02 s    Elapsed time so far: 1.2 s
26.5 %        4.0e+02 s    Elapsed time so far: 1.3 s
26.9 %        4.0e+02 s    Elapsed time so far: 1.3 s
27.2 %        4.1e+02 s    Elapsed time so far: 1.3 s
27.5 %        4.1e+02 s    Elapsed time so far: 1.3 s
27.9 %        4.2e+02 s    Elapsed time so far: 1.3 s
28.2 %        4.2e+02 s    Elapsed time so far: 1.3 s
28.5 %        4.3e+02 s    Elapsed time so far: 1.3 s
28.9 %        4.3e+02 s    Elapsed time so far: 1.3 s
29.2 %        4.4e+02 s    Elapsed time so far: 1.3 s
29.5 %        4.4e+02 s    Elapsed time so far: 1.3 s
29.9 %        4.5e+02 s    Elapsed time so far: 1.4 s
30.2 %        4.5e+02 s    Elapsed time so far: 1.4 s
30.5 %        4.6e+02 s    Elapsed time so far: 1.4 s
30.9 %        4.6e+02 s    Elapsed time so far: 1.4 s
31.2 %        4.7e+02 s    Elapsed time so far: 1.4 s
31.5 %        4.7e+02 s    Elapsed time so far: 1.4 s
31.9 %        4.8e+02 s    Elapsed time so far: 1.4 s
32.2 %        4.8e+02 s    Elapsed time so far: 1.4 s
32.5 %        4.9e+02 s    Elapsed time so far: 1.4 s
32.9 %        4.9e+02 s    Elapsed time so far: 1.4 s
33.2 %        5.0e+02 s    Elapsed time so far: 1.4 s
33.5 %        5.0e+02 s    Elapsed time so far: 1.4 s
33.9 %        5.1e+02 s    Elapsed time so far: 1.5 s

34.2 %        5.1e+02 s    Elapsed time so far: 1.5 s
34.5 %        5.2e+02 s    Elapsed time so far: 1.5 s
34.9 %        5.2e+02 s    Elapsed time so far: 1.5 s
35.2 %        5.3e+02 s    Elapsed time so far: 1.5 s
35.5 %        5.3e+02 s    Elapsed time so far: 1.5 s
35.9 %        5.4e+02 s    Elapsed time so far: 1.5 s
36.2 %        5.4e+02 s    Elapsed time so far: 1.5 s
36.5 %        5.5e+02 s    Elapsed time so far: 1.5 s
36.9 %        5.5e+02 s    Elapsed time so far: 1.5 s
37.2 %        5.6e+02 s    Elapsed time so far: 1.5 s
37.5 %        5.6e+02 s    Elapsed time so far: 1.5 s
37.9 %        5.7e+02 s    Elapsed time so far: 1.6 s
38.2 %        5.7e+02 s    Elapsed time so far: 1.6 s
38.5 %        5.8e+02 s    Elapsed time so far: 1.6 s
38.9 %        5.8e+02 s    Elapsed time so far: 1.6 s
39.2 %        5.9e+02 s    Elapsed time so far: 1.6 s
39.5 %        5.9e+02 s    Elapsed time so far: 1.6 s
39.9 %        6.0e+02 s    Elapsed time so far: 1.6 s
40.2 %        6.0e+02 s    Elapsed time so far: 1.6 s
40.5 %        6.1e+02 s    Elapsed time so far: 1.6 s
40.9 %        6.1e+02 s    Elapsed time so far: 1.6 s
41.2 %        6.2e+02 s    Elapsed time so far: 1.6 s
41.5 %        6.2e+02 s    Elapsed time so far: 1.7 s
41.9 %        6.3e+02 s    Elapsed time so far: 1.7 s
42.2 %        6.3e+02 s    Elapsed time so far: 1.7 s
42.5 %        6.4e+02 s    Elapsed time so far: 1.7 s
42.9 %        6.4e+02 s    Elapsed time so far: 1.7 s
43.2 %        6.5e+02 s    Elapsed time so far: 1.7 s
43.5 %        6.5e+02 s    Elapsed time so far: 1.7 s
43.9 %        6.6e+02 s    Elapsed time so far: 1.7 s
44.2 %        6.6e+02 s    Elapsed time so far: 1.7 s

44.5 %        6.7e+02 s    Elapsed time so far: 1.7 s
44.9 %        6.7e+02 s    Elapsed time so far: 1.7 s
45.2 %        6.8e+02 s    Elapsed time so far: 1.8 s
45.5 %        6.8e+02 s    Elapsed time so far: 1.8 s
45.9 %        6.9e+02 s    Elapsed time so far: 1.8 s
46.2 %        6.9e+02 s    Elapsed time so far: 1.8 s
46.5 %        7.0e+02 s    Elapsed time so far: 1.8 s
46.9 %        7.0e+02 s    Elapsed time so far: 1.8 s
47.2 %        7.1e+02 s    Elapsed time so far: 1.8 s
47.5 %        7.1e+02 s    Elapsed time so far: 1.8 s
47.9 %        7.2e+02 s    Elapsed time so far: 1.8 s
48.2 %        7.2e+02 s    Elapsed time so far: 1.8 s
48.5 %        7.3e+02 s    Elapsed time so far: 1.8 s
48.9 %        7.3e+02 s    Elapsed time so far: 1.9 s
49.2 %        7.4e+02 s    Elapsed time so far: 1.9 s
49.5 %        7.4e+02 s    Elapsed time so far: 1.9 s
49.9 %        7.5e+02 s    Elapsed time so far: 1.9 s
50.2 %        7.5e+02 s    Elapsed time so far: 1.9 s
50.5 %        7.6e+02 s    Elapsed time so far: 1.9 s
50.9 %        7.6e+02 s    Elapsed time so far: 1.9 s
51.2 %        7.7e+02 s    Elapsed time so far: 1.9 s
51.5 %        7.7e+02 s    Elapsed time so far: 1.9 s
51.9 %        7.8e+02 s    Elapsed time so far: 1.9 s
52.2 %        7.8e+02 s    Elapsed time so far: 1.9 s
52.5 %        7.9e+02 s    Elapsed time so far: 1.9 s
52.9 %        7.9e+02 s    Elapsed time so far: 2.0 s
53.2 %        8.0e+02 s    Elapsed time so far: 2.0 s
53.5 %        8.0e+02 s    Elapsed time so far: 2.0 s
53.9 %        8.1e+02 s    Elapsed time so far: 2.0 s
54.2 %        8.1e+02 s    Elapsed time so far: 2.0 s
54.5 %        8.2e+02 s    Elapsed time so far: 2.0 s

54.9 %        8.2e+02 s    Elapsed time so far: 2.0 s
55.2 %        8.3e+02 s    Elapsed time so far: 2.0 s
55.5 %        8.3e+02 s    Elapsed time so far: 2.0 s
55.9 %        8.4e+02 s    Elapsed time so far: 2.0 s
56.2 %        8.4e+02 s    Elapsed time so far: 2.0 s
56.5 %        8.5e+02 s    Elapsed time so far: 2.1 s
56.9 %        8.5e+02 s    Elapsed time so far: 2.1 s
57.2 %        8.6e+02 s    Elapsed time so far: 2.1 s
57.5 %        8.6e+02 s    Elapsed time so far: 2.1 s
57.9 %        8.7e+02 s    Elapsed time so far: 2.1 s
58.2 %        8.7e+02 s    Elapsed time so far: 2.1 s
58.5 %        8.8e+02 s    Elapsed time so far: 2.1 s
58.9 %        8.8e+02 s    Elapsed time so far: 2.1 s
59.2 %        8.9e+02 s    Elapsed time so far: 2.1 s
59.5 %        8.9e+02 s    Elapsed time so far: 2.1 s
59.9 %        9.0e+02 s    Elapsed time so far: 2.1 s
60.2 %        9.0e+02 s    Elapsed time so far: 2.1 s
60.5 %        9.1e+02 s    Elapsed time so far: 2.2 s
60.9 %        9.1e+02 s    Elapsed time so far: 2.2 s
61.2 %        9.2e+02 s    Elapsed time so far: 2.2 s
61.5 %        9.2e+02 s    Elapsed time so far: 2.2 s
61.9 %        9.3e+02 s    Elapsed time so far: 2.2 s
62.2 %        9.3e+02 s    Elapsed time so far: 2.2 s
62.5 %        9.4e+02 s    Elapsed time so far: 2.2 s
62.9 %        9.4e+02 s    Elapsed time so far: 2.2 s
63.2 %        9.5e+02 s    Elapsed time so far: 2.2 s
63.5 %        9.5e+02 s    Elapsed time so far: 2.2 s
63.9 %        9.6e+02 s    Elapsed time so far: 2.2 s
64.2 %        9.6e+02 s    Elapsed time so far: 2.2 s
64.5 %        9.7e+02 s    Elapsed time so far: 2.3 s
64.9 %        9.7e+02 s    Elapsed time so far: 2.3 s
65.2 %        9.8e+02 s    Elapsed time so far: 2.3 s

65.5 %        9.8e+02 s    Elapsed time so far: 2.3 s
65.9 %        9.9e+02 s    Elapsed time so far: 2.3 s
66.2 %        9.9e+02 s    Elapsed time so far: 2.3 s
66.5 %        1.0e+03 s    Elapsed time so far: 2.3 s
66.9 %        1.0e+03 s    Elapsed time so far: 2.3 s
67.2 %        1.0e+03 s    Elapsed time so far: 2.3 s
67.5 %        1.0e+03 s    Elapsed time so far: 2.3 s
67.9 %        1.0e+03 s    Elapsed time so far: 2.3 s
68.2 %        1.0e+03 s    Elapsed time so far: 2.4 s
68.5 %        1.0e+03 s    Elapsed time so far: 2.4 s
68.9 %        1.0e+03 s    Elapsed time so far: 2.4 s
69.2 %        1.0e+03 s    Elapsed time so far: 2.4 s
69.5 %        1.0e+03 s    Elapsed time so far: 2.4 s
69.9 %        1.0e+03 s    Elapsed time so far: 2.4 s
70.2 %        1.1e+03 s    Elapsed time so far: 2.4 s
70.5 %        1.1e+03 s    Elapsed time so far: 2.4 s
70.9 %        1.1e+03 s    Elapsed time so far: 2.4 s
71.2 %        1.1e+03 s    Elapsed time so far: 2.4 s
71.5 %        1.1e+03 s    Elapsed time so far: 2.4 s
71.9 %        1.1e+03 s    Elapsed time so far: 2.5 s
72.2 %        1.1e+03 s    Elapsed time so far: 2.5 s
72.5 %        1.1e+03 s    Elapsed time so far: 2.5 s
72.9 %        1.1e+03 s    Elapsed time so far: 2.5 s
73.2 %        1.1e+03 s    Elapsed time so far: 2.5 s
73.5 %        1.1e+03 s    Elapsed time so far: 2.5 s
73.9 %        1.1e+03 s    Elapsed time so far: 2.5 s
74.2 %        1.1e+03 s    Elapsed time so far: 2.5 s
74.5 %        1.1e+03 s    Elapsed time so far: 2.5 s
74.9 %        1.1e+03 s    Elapsed time so far: 2.5 s
75.2 %        1.1e+03 s    Elapsed time so far: 2.5 s
75.5 %        1.1e+03 s    Elapsed time so far: 2.5 s
75.9 %        1.1e+03 s    Elapsed time so far: 2.6 s
76.2 %        1.1e+03 s    Elapsed time so far: 2.6 s

76.5 %        1.1e+03 s    Elapsed time so far: 2.6 s
76.9 %        1.2e+03 s    Elapsed time so far: 2.6 s
77.2 %        1.2e+03 s    Elapsed time so far: 2.6 s
77.5 %        1.2e+03 s    Elapsed time so far: 2.6 s
77.9 %        1.2e+03 s    Elapsed time so far: 2.6 s
78.2 %        1.2e+03 s    Elapsed time so far: 2.6 s
78.5 %        1.2e+03 s    Elapsed time so far: 2.6 s
78.9 %        1.2e+03 s    Elapsed time so far: 2.6 s
79.2 %        1.2e+03 s    Elapsed time so far: 2.6 s
79.5 %        1.2e+03 s    Elapsed time so far: 2.7 s
79.9 %        1.2e+03 s    Elapsed time so far: 2.7 s
80.2 %        1.2e+03 s    Elapsed time so far: 2.7 s
80.5 %        1.2e+03 s    Elapsed time so far: 2.7 s
80.9 %        1.2e+03 s    Elapsed time so far: 2.7 s
81.2 %        1.2e+03 s    Elapsed time so far: 2.7 s
81.5 %        1.2e+03 s    Elapsed time so far: 2.7 s
81.9 %        1.2e+03 s    Elapsed time so far: 2.7 s
82.2 %        1.2e+03 s    Elapsed time so far: 2.7 s
82.5 %        1.2e+03 s    Elapsed time so far: 2.7 s
82.9 %        1.2e+03 s    Elapsed time so far: 2.7 s
83.2 %        1.2e+03 s    Elapsed time so far: 2.8 s
83.5 %        1.3e+03 s    Elapsed time so far: 2.8 s
83.9 %        1.3e+03 s    Elapsed time so far: 2.8 s
84.2 %        1.3e+03 s    Elapsed time so far: 2.8 s
84.5 %        1.3e+03 s    Elapsed time so far: 2.8 s
84.9 %        1.3e+03 s    Elapsed time so far: 2.8 s
85.2 %        1.3e+03 s    Elapsed time so far: 2.8 s
85.5 %        1.3e+03 s    Elapsed time so far: 2.8 s

85.9 %        1.3e+03 s    Elapsed time so far: 2.8 s
86.2 %        1.3e+03 s    Elapsed time so far: 2.8 s
86.5 %        1.3e+03 s    Elapsed time so far: 2.8 s
86.9 %        1.3e+03 s    Elapsed time so far: 2.9 s
87.2 %        1.3e+03 s    Elapsed time so far: 2.9 s
87.5 %        1.3e+03 s    Elapsed time so far: 2.9 s
87.9 %        1.3e+03 s    Elapsed time so far: 2.9 s
88.2 %        1.3e+03 s    Elapsed time so far: 2.9 s
88.5 %        1.3e+03 s    Elapsed time so far: 2.9 s
88.9 %        1.3e+03 s    Elapsed time so far: 2.9 s
89.2 %        1.3e+03 s    Elapsed time so far: 2.9 s
89.5 %        1.3e+03 s    Elapsed time so far: 2.9 s
89.9 %        1.3e+03 s    Elapsed time so far: 2.9 s
90.2 %        1.4e+03 s    Elapsed time so far: 2.9 s
90.5 %        1.4e+03 s    Elapsed time so far: 2.9 s
90.9 %        1.4e+03 s    Elapsed time so far: 3.0 s
91.2 %        1.4e+03 s    Elapsed time so far: 3.0 s
91.5 %        1.4e+03 s    Elapsed time so far: 3.0 s
91.9 %        1.4e+03 s    Elapsed time so far: 3.0 s
92.2 %        1.4e+03 s    Elapsed time so far: 3.0 s
92.5 %        1.4e+03 s    Elapsed time so far: 3.0 s
92.9 %        1.4e+03 s    Elapsed time so far: 3.0 s
93.2 %        1.4e+03 s    Elapsed time so far: 3.0 s
93.5 %        1.4e+03 s    Elapsed time so far: 3.0 s
93.9 %        1.4e+03 s    Elapsed time so far: 3.0 s
94.2 %        1.4e+03 s    Elapsed time so far: 3.0 s
94.5 %        1.4e+03 s    Elapsed time so far: 3.1 s
94.9 %        1.4e+03 s    Elapsed time so far: 3.1 s

95.2 %        1.4e+03 s    Elapsed time so far: 3.1 s
95.5 %        1.4e+03 s    Elapsed time so far: 3.1 s
95.9 %        1.4e+03 s    Elapsed time so far: 3.1 s
96.2 %        1.4e+03 s    Elapsed time so far: 3.1 s
96.5 %        1.4e+03 s    Elapsed time so far: 3.1 s
96.9 %        1.5e+03 s    Elapsed time so far: 3.1 s
97.2 %        1.5e+03 s    Elapsed time so far: 3.1 s
97.5 %        1.5e+03 s    Elapsed time so far: 3.1 s
97.9 %        1.5e+03 s    Elapsed time so far: 3.1 s
98.2 %        1.5e+03 s    Elapsed time so far: 3.2 s
98.5 %        1.5e+03 s    Elapsed time so far: 3.2 s
98.9 %        1.5e+03 s    Elapsed time so far: 3.2 s
99.2 %        1.5e+03 s    Elapsed time so far: 3.2 s
99.5 %        1.5e+03 s    Elapsed time so far: 3.2 s
99.9 %        1.5e+03 s    Elapsed time so far: 3.2 s
100.0 %        1.5e+03 s    Elapsed time so far: 3.2 s

Defining initial values
Defining variational problem
Defining source terms
Defining boundary conditions
Time stepping...
0.0 %        1.0e-03 s    Elapsed time so far: 0.0 s
0.0 %        2.1e-03 s    Elapsed time so far: 0.0 s
0.0 %        3.3e-03 s    Elapsed time so far: 0.0 s
0.0 %        4.6e-03 s    Elapsed time so far: 0.0 s
0.0 %        6.1e-03 s    Elapsed time so far: 0.1 s
0.0 %        7.7e-03 s    Elapsed time so far: 0.1 s
0.0 %        9.5e-03 s    Elapsed time so far: 0.1 s
0.0 %        1.1e-02 s    Elapsed time so far: 0.1 s
0.0 %        1.4e-02 s    Elapsed time so far: 0.1 s
0.0 %        1.6e-02 s    Elapsed time so far: 0.1 s
0.0 %        1.9e-02 s    Elapsed time so far: 0.1 s
0.0 %        2.1e-02 s    Elapsed time so far: 0.1 s
0.0 %        2.5e-02 s    Elapsed time so far: 0.1 s
0.0 %        2.8e-02 s    Elapsed time so far: 0.1 s
0.0 %        3.2e-02 s    Elapsed time so far: 0.1 s
0.0 %        3.6e-02 s    Elapsed time so far: 0.1 s
0.0 %        4.1e-02 s    Elapsed time so far: 0.1 s
0.0 %        4.6e-02 s    Elapsed time so far: 0.1 s
0.0 %        5.1e-02 s    Elapsed time so far: 0.2 s
0.0 %        5.7e-02 s    Elapsed time so far: 0.2 s
0.0 %        6.4e-02 s    Elapsed time so far: 0.2 s
0.0 %        7.1e-02 s    Elapsed time so far: 0.2 s
0.0 %        8.0e-02 s    Elapsed time so far: 0.2 s
0.0 %        8.8e-02 s    Elapsed time so far: 0.2 s
0.0 %        9.8e-02 s    Elapsed time so far: 0.2 s
0.0 %        1.1e-01 s    Elapsed time so far: 0.2 s
0.0 %        1.2e-01 s    Elapsed time so far: 0.2 s

0.0 %        1.3e-01 s    Elapsed time so far: 0.2 s
0.0 %        1.5e-01 s    Elapsed time so far: 0.2 s
0.0 %        1.6e-01 s    Elapsed time so far: 0.2 s
0.0 %        1.8e-01 s    Elapsed time so far: 0.2 s
0.0 %        2.0e-01 s    Elapsed time so far: 0.2 s
0.0 %        2.2e-01 s    Elapsed time so far: 0.2 s
0.0 %        2.5e-01 s    Elapsed time so far: 0.3 s
0.0 %        2.7e-01 s    Elapsed time so far: 0.3 s
0.0 %        3.0e-01 s    Elapsed time so far: 0.3 s
0.0 %        3.3e-01 s    Elapsed time so far: 0.3 s
0.0 %        3.6e-01 s    Elapsed time so far: 0.3 s
0.0 %        4.0e-01 s    Elapsed time so far: 0.3 s
0.0 %        4.4e-01 s    Elapsed time so far: 0.3 s
0.0 %        4.9e-01 s    Elapsed time so far: 0.3 s
0.0 %        5.4e-01 s    Elapsed time so far: 0.3 s
0.0 %        5.9e-01 s    Elapsed time so far: 0.3 s
0.0 %        6.5e-01 s    Elapsed time so far: 0.3 s
0.1 %        7.2e-01 s    Elapsed time so far: 0.3 s
0.1 %        7.9e-01 s    Elapsed time so far: 0.3 s
0.1 %        8.7e-01 s    Elapsed time so far: 0.4 s
0.1 %        9.6e-01 s    Elapsed time so far: 0.4 s
0.1 %        1.1e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.2e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.3e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.4e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.6e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.7e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.9e+00 s    Elapsed time so far: 0.4 s
0.1 %        2.1e+00 s    Elapsed time so far: 0.4 s
0.1 %        2.3e+00 s    Elapsed time so far: 0.4 s
0.2 %        2.5e+00 s    Elapsed time so far: 0.4 s

0.2 %        2.8e+00 s    Elapsed time so far: 0.4 s
0.2 %        3.0e+00 s    Elapsed time so far: 0.4 s
0.2 %        3.3e+00 s    Elapsed time so far: 0.5 s
0.2 %        3.7e+00 s    Elapsed time so far: 0.5 s
0.3 %        4.0e+00 s    Elapsed time so far: 0.5 s
0.3 %        4.4e+00 s    Elapsed time so far: 0.5 s
0.3 %        4.9e+00 s    Elapsed time so far: 0.5 s
0.4 %        5.4e+00 s    Elapsed time so far: 0.5 s
0.4 %        5.9e+00 s    Elapsed time so far: 0.5 s
0.4 %        6.5e+00 s    Elapsed time so far: 0.5 s
0.5 %        7.2e+00 s    Elapsed time so far: 0.5 s
0.5 %        7.9e+00 s    Elapsed time so far: 0.5 s
0.6 %        8.7e+00 s    Elapsed time so far: 0.5 s
0.6 %        9.5e+00 s    Elapsed time so far: 0.5 s
0.7 %        1.1e+01 s    Elapsed time so far: 0.5 s
0.8 %        1.2e+01 s    Elapsed time so far: 0.6 s
0.8 %        1.3e+01 s    Elapsed time so far: 0.6 s
0.9 %        1.4e+01 s    Elapsed time so far: 0.6 s
1.0 %        1.5e+01 s    Elapsed time so far: 0.6 s
1.1 %        1.7e+01 s    Elapsed time so far: 0.6 s
1.2 %        1.9e+01 s    Elapsed time so far: 0.6 s
1.4 %        2.0e+01 s    Elapsed time so far: 0.6 s
1.5 %        2.3e+01 s    Elapsed time so far: 0.6 s
1.6 %        2.5e+01 s    Elapsed time so far: 0.6 s
1.8 %        2.7e+01 s    Elapsed time so far: 0.6 s
2.0 %        3.0e+01 s    Elapsed time so far: 0.6 s
2.2 %        3.3e+01 s    Elapsed time so far: 0.7 s
2.4 %        3.6e+01 s    Elapsed time so far: 0.7 s
2.7 %        4.0e+01 s    Elapsed time so far: 0.7 s
2.9 %        4.4e+01 s    Elapsed time so far: 0.7 s
3.2 %        4.8e+01 s    Elapsed time so far: 0.7 s
3.5 %        5.3e+01 s    Elapsed time so far: 0.7 s

3.9 %        5.8e+01 s    Elapsed time so far: 0.7 s
4.2 %        6.3e+01 s    Elapsed time so far: 0.7 s
4.5 %        6.8e+01 s    Elapsed time so far: 0.7 s
4.9 %        7.3e+01 s    Elapsed time so far: 0.7 s
5.2 %        7.8e+01 s    Elapsed time so far: 0.7 s
5.5 %        8.3e+01 s    Elapsed time so far: 0.8 s
5.9 %        8.8e+01 s    Elapsed time so far: 0.8 s
6.2 %        9.3e+01 s    Elapsed time so far: 0.8 s
6.5 %        9.8e+01 s    Elapsed time so far: 0.8 s
6.9 %        1.0e+02 s    Elapsed time so far: 0.8 s
7.2 %        1.1e+02 s    Elapsed time so far: 0.8 s
7.5 %        1.1e+02 s    Elapsed time so far: 0.8 s
7.9 %        1.2e+02 s    Elapsed time so far: 0.8 s
8.2 %        1.2e+02 s    Elapsed time so far: 0.8 s
8.5 %        1.3e+02 s    Elapsed time so far: 0.8 s
8.9 %        1.3e+02 s    Elapsed time so far: 0.8 s
9.2 %        1.4e+02 s    Elapsed time so far: 0.8 s
9.5 %        1.4e+02 s    Elapsed time so far: 0.9 s
9.9 %        1.5e+02 s    Elapsed time so far: 0.9 s
10.2 %        1.5e+02 s    Elapsed time so far: 0.9 s
10.5 %        1.6e+02 s    Elapsed time so far: 0.9 s
10.9 %        1.6e+02 s    Elapsed time so far: 0.9 s
11.2 %        1.7e+02 s    Elapsed time so far: 0.9 s
11.5 %        1.7e+02 s    Elapsed time so far: 0.9 s
11.9 %        1.8e+02 s    Elapsed time so far: 0.9 s

12.2 %        1.8e+02 s    Elapsed time so far: 0.9 s
12.5 %        1.9e+02 s    Elapsed time so far: 0.9 s
12.9 %        1.9e+02 s    Elapsed time so far: 0.9 s
13.2 %        2.0e+02 s    Elapsed time so far: 1.0 s
13.5 %        2.0e+02 s    Elapsed time so far: 1.0 s
13.9 %        2.1e+02 s    Elapsed time so far: 1.0 s
14.2 %        2.1e+02 s    Elapsed time so far: 1.0 s
14.5 %        2.2e+02 s    Elapsed time so far: 1.0 s
14.9 %        2.2e+02 s    Elapsed time so far: 1.0 s
15.2 %        2.3e+02 s    Elapsed time so far: 1.0 s
15.5 %        2.3e+02 s    Elapsed time so far: 1.0 s
15.9 %        2.4e+02 s    Elapsed time so far: 1.0 s
16.2 %        2.4e+02 s    Elapsed time so far: 1.0 s
16.5 %        2.5e+02 s    Elapsed time so far: 1.0 s
16.9 %        2.5e+02 s    Elapsed time so far: 1.1 s
17.2 %        2.6e+02 s    Elapsed time so far: 1.1 s
17.5 %        2.6e+02 s    Elapsed time so far: 1.1 s
17.9 %        2.7e+02 s    Elapsed time so far: 1.1 s
18.2 %        2.7e+02 s    Elapsed time so far: 1.1 s
18.5 %        2.8e+02 s    Elapsed time so far: 1.1 s
18.9 %        2.8e+02 s    Elapsed time so far: 1.1 s
19.2 %        2.9e+02 s    Elapsed time so far: 1.1 s
19.5 %        2.9e+02 s    Elapsed time so far: 1.1 s
19.9 %        3.0e+02 s    Elapsed time so far: 1.1 s
20.2 %        3.0e+02 s    Elapsed time so far: 1.1 s
20.5 %        3.1e+02 s    Elapsed time so far: 1.2 s
20.9 %        3.1e+02 s    Elapsed time so far: 1.2 s

21.2 %        3.2e+02 s    Elapsed time so far: 1.2 s
21.5 %        3.2e+02 s    Elapsed time so far: 1.2 s
21.9 %        3.3e+02 s    Elapsed time so far: 1.2 s
22.2 %        3.3e+02 s    Elapsed time so far: 1.2 s
22.5 %        3.4e+02 s    Elapsed time so far: 1.2 s
22.9 %        3.4e+02 s    Elapsed time so far: 1.2 s
23.2 %        3.5e+02 s    Elapsed time so far: 1.2 s
23.5 %        3.5e+02 s    Elapsed time so far: 1.2 s
23.9 %        3.6e+02 s    Elapsed time so far: 1.2 s
24.2 %        3.6e+02 s    Elapsed time so far: 1.2 s
24.5 %        3.7e+02 s    Elapsed time so far: 1.3 s
24.9 %        3.7e+02 s    Elapsed time so far: 1.3 s
25.2 %        3.8e+02 s    Elapsed time so far: 1.3 s
25.5 %        3.8e+02 s    Elapsed time so far: 1.3 s
25.9 %        3.9e+02 s    Elapsed time so far: 1.3 s
26.2 %        3.9e+02 s    Elapsed time so far: 1.3 s
26.5 %        4.0e+02 s    Elapsed time so far: 1.3 s
26.9 %        4.0e+02 s    Elapsed time so far: 1.3 s
27.2 %        4.1e+02 s    Elapsed time so far: 1.3 s
27.5 %        4.1e+02 s    Elapsed time so far: 1.3 s
27.9 %        4.2e+02 s    Elapsed time so far: 1.4 s
28.2 %        4.2e+02 s    Elapsed time so far: 1.4 s
28.5 %        4.3e+02 s    Elapsed time so far: 1.4 s
28.9 %        4.3e+02 s    Elapsed time so far: 1.4 s
29.2 %        4.4e+02 s    Elapsed time so far: 1.4 s
29.5 %        4.4e+02 s    Elapsed time so far: 1.4 s
29.9 %        4.5e+02 s    Elapsed time so far: 1.4 s
30.2 %        4.5e+02 s    Elapsed time so far: 1.4 s
30.5 %        4.6e+02 s    Elapsed time so far: 1.4 s
30.9 %        4.6e+02 s    Elapsed time so far: 1.4 s

31.2 %        4.7e+02 s    Elapsed time so far: 1.4 s
31.5 %        4.7e+02 s    Elapsed time so far: 1.4 s
31.9 %        4.8e+02 s    Elapsed time so far: 1.5 s
32.2 %        4.8e+02 s    Elapsed time so far: 1.5 s
32.5 %        4.9e+02 s    Elapsed time so far: 1.5 s
32.9 %        4.9e+02 s    Elapsed time so far: 1.5 s
33.2 %        5.0e+02 s    Elapsed time so far: 1.5 s
33.5 %        5.0e+02 s    Elapsed time so far: 1.5 s
33.9 %        5.1e+02 s    Elapsed time so far: 1.5 s
34.2 %        5.1e+02 s    Elapsed time so far: 1.5 s
34.5 %        5.2e+02 s    Elapsed time so far: 1.5 s
34.9 %        5.2e+02 s    Elapsed time so far: 1.5 s
35.2 %        5.3e+02 s    Elapsed time so far: 1.5 s
35.5 %        5.3e+02 s    Elapsed time so far: 1.6 s
35.9 %        5.4e+02 s    Elapsed time so far: 1.6 s
36.2 %        5.4e+02 s    Elapsed time so far: 1.6 s
36.5 %        5.5e+02 s    Elapsed time so far: 1.6 s
36.9 %        5.5e+02 s    Elapsed time so far: 1.6 s
37.2 %        5.6e+02 s    Elapsed time so far: 1.6 s
37.5 %        5.6e+02 s    Elapsed time so far: 1.6 s
37.9 %        5.7e+02 s    Elapsed time so far: 1.6 s
38.2 %        5.7e+02 s    Elapsed time so far: 1.6 s
38.5 %        5.8e+02 s    Elapsed time so far: 1.6 s
38.9 %        5.8e+02 s    Elapsed time so far: 1.6 s
39.2 %        5.9e+02 s    Elapsed time so far: 1.6 s
39.5 %        5.9e+02 s    Elapsed time so far: 1.7 s
39.9 %        6.0e+02 s    Elapsed time so far: 1.7 s
40.2 %        6.0e+02 s    Elapsed time so far: 1.7 s
40.5 %        6.1e+02 s    Elapsed time so far: 1.7 s
40.9 %        6.1e+02 s    Elapsed time so far: 1.7 s
41.2 %        6.2e+02 s    Elapsed time so far: 1.7 s

41.5 %        6.2e+02 s    Elapsed time so far: 1.7 s
41.9 %        6.3e+02 s    Elapsed time so far: 1.7 s
42.2 %        6.3e+02 s    Elapsed time so far: 1.7 s
42.5 %        6.4e+02 s    Elapsed time so far: 1.7 s
42.9 %        6.4e+02 s    Elapsed time so far: 1.7 s
43.2 %        6.5e+02 s    Elapsed time so far: 1.8 s
43.5 %        6.5e+02 s    Elapsed time so far: 1.8 s
43.9 %        6.6e+02 s    Elapsed time so far: 1.8 s
44.2 %        6.6e+02 s    Elapsed time so far: 1.8 s
44.5 %        6.7e+02 s    Elapsed time so far: 1.8 s
44.9 %        6.7e+02 s    Elapsed time so far: 1.8 s
45.2 %        6.8e+02 s    Elapsed time so far: 1.8 s
45.5 %        6.8e+02 s    Elapsed time so far: 1.8 s
45.9 %        6.9e+02 s    Elapsed time so far: 1.8 s
46.2 %        6.9e+02 s    Elapsed time so far: 1.8 s
46.5 %        7.0e+02 s    Elapsed time so far: 1.8 s
46.9 %        7.0e+02 s    Elapsed time so far: 1.9 s
47.2 %        7.1e+02 s    Elapsed time so far: 1.9 s
47.5 %        7.1e+02 s    Elapsed time so far: 1.9 s
47.9 %        7.2e+02 s    Elapsed time so far: 1.9 s
48.2 %        7.2e+02 s    Elapsed time so far: 1.9 s
48.5 %        7.3e+02 s    Elapsed time so far: 1.9 s
48.9 %        7.3e+02 s    Elapsed time so far: 1.9 s
49.2 %        7.4e+02 s    Elapsed time so far: 1.9 s
49.5 %        7.4e+02 s    Elapsed time so far: 1.9 s
49.9 %        7.5e+02 s    Elapsed time so far: 1.9 s
50.2 %        7.5e+02 s    Elapsed time so far: 1.9 s
50.5 %        7.6e+02 s    Elapsed time so far: 2.0 s
50.9 %        7.6e+02 s    Elapsed time so far: 2.0 s
51.2 %        7.7e+02 s    Elapsed time so far: 2.0 s
51.5 %        7.7e+02 s    Elapsed time so far: 2.0 s

51.9 %        7.8e+02 s    Elapsed time so far: 2.0 s
52.2 %        7.8e+02 s    Elapsed time so far: 2.0 s
52.5 %        7.9e+02 s    Elapsed time so far: 2.0 s
52.9 %        7.9e+02 s    Elapsed time so far: 2.0 s
53.2 %        8.0e+02 s    Elapsed time so far: 2.0 s
53.5 %        8.0e+02 s    Elapsed time so far: 2.0 s
53.9 %        8.1e+02 s    Elapsed time so far: 2.0 s
54.2 %        8.1e+02 s    Elapsed time so far: 2.1 s
54.5 %        8.2e+02 s    Elapsed time so far: 2.1 s
54.9 %        8.2e+02 s    Elapsed time so far: 2.1 s
55.2 %        8.3e+02 s    Elapsed time so far: 2.1 s
55.5 %        8.3e+02 s    Elapsed time so far: 2.1 s
55.9 %        8.4e+02 s    Elapsed time so far: 2.1 s
56.2 %        8.4e+02 s    Elapsed time so far: 2.1 s
56.5 %        8.5e+02 s    Elapsed time so far: 2.1 s
56.9 %        8.5e+02 s    Elapsed time so far: 2.1 s
57.2 %        8.6e+02 s    Elapsed time so far: 2.1 s
57.5 %        8.6e+02 s    Elapsed time so far: 2.1 s
57.9 %        8.7e+02 s    Elapsed time so far: 2.2 s
58.2 %        8.7e+02 s    Elapsed time so far: 2.2 s
58.5 %        8.8e+02 s    Elapsed time so far: 2.2 s
58.9 %        8.8e+02 s    Elapsed time so far: 2.2 s
59.2 %        8.9e+02 s    Elapsed time so far: 2.2 s
59.5 %        8.9e+02 s    Elapsed time so far: 2.2 s
59.9 %        9.0e+02 s    Elapsed time so far: 2.2 s
60.2 %        9.0e+02 s    Elapsed time so far: 2.2 s
60.5 %        9.1e+02 s    Elapsed time so far: 2.2 s
60.9 %        9.1e+02 s    Elapsed time so far: 2.2 s
61.2 %        9.2e+02 s    Elapsed time so far: 2.2 s
61.5 %        9.2e+02 s    Elapsed time so far: 2.2 s

61.9 %        9.3e+02 s    Elapsed time so far: 2.2 s
62.2 %        9.3e+02 s    Elapsed time so far: 2.2 s
62.5 %        9.4e+02 s    Elapsed time so far: 2.2 s
62.9 %        9.4e+02 s    Elapsed time so far: 2.3 s
63.2 %        9.5e+02 s    Elapsed time so far: 2.3 s
63.5 %        9.5e+02 s    Elapsed time so far: 2.3 s
63.9 %        9.6e+02 s    Elapsed time so far: 2.3 s
64.2 %        9.6e+02 s    Elapsed time so far: 2.3 s
64.5 %        9.7e+02 s    Elapsed time so far: 2.3 s
64.9 %        9.7e+02 s    Elapsed time so far: 2.3 s
65.2 %        9.8e+02 s    Elapsed time so far: 2.3 s
65.5 %        9.8e+02 s    Elapsed time so far: 2.3 s
65.9 %        9.9e+02 s    Elapsed time so far: 2.3 s
66.2 %        9.9e+02 s    Elapsed time so far: 2.3 s
66.5 %        1.0e+03 s    Elapsed time so far: 2.3 s
66.9 %        1.0e+03 s    Elapsed time so far: 2.4 s
67.2 %        1.0e+03 s    Elapsed time so far: 2.4 s
67.5 %        1.0e+03 s    Elapsed time so far: 2.4 s
67.9 %        1.0e+03 s    Elapsed time so far: 2.4 s
68.2 %        1.0e+03 s    Elapsed time so far: 2.4 s
68.5 %        1.0e+03 s    Elapsed time so far: 2.4 s
68.9 %        1.0e+03 s    Elapsed time so far: 2.4 s
69.2 %        1.0e+03 s    Elapsed time so far: 2.4 s
69.5 %        1.0e+03 s    Elapsed time so far: 2.4 s
69.9 %        1.0e+03 s    Elapsed time so far: 2.4 s
70.2 %        1.1e+03 s    Elapsed time so far: 2.4 s
70.5 %        1.1e+03 s    Elapsed time so far: 2.4 s
70.9 %        1.1e+03 s    Elapsed time so far: 2.4 s
71.2 %        1.1e+03 s    Elapsed time so far: 2.4 s
71.5 %        1.1e+03 s    Elapsed time so far: 2.5 s
71.9 %        1.1e+03 s    Elapsed time so far: 2.5 s
72.2 %        1.1e+03 s    Elapsed time so far: 2.5 s
72.5 %        1.1e+03 s    Elapsed time so far: 2.5 s
72.9 %        1.1e+03 s    Elapsed time so far: 2.5 s

73.2 %        1.1e+03 s    Elapsed time so far: 2.5 s
73.5 %        1.1e+03 s    Elapsed time so far: 2.5 s
73.9 %        1.1e+03 s    Elapsed time so far: 2.5 s
74.2 %        1.1e+03 s    Elapsed time so far: 2.5 s
74.5 %        1.1e+03 s    Elapsed time so far: 2.5 s
74.9 %        1.1e+03 s    Elapsed time so far: 2.5 s
75.2 %        1.1e+03 s    Elapsed time so far: 2.5 s
75.5 %        1.1e+03 s    Elapsed time so far: 2.5 s
75.9 %        1.1e+03 s    Elapsed time so far: 2.5 s
76.2 %        1.1e+03 s    Elapsed time so far: 2.6 s
76.5 %        1.1e+03 s    Elapsed time so far: 2.6 s
76.9 %        1.2e+03 s    Elapsed time so far: 2.6 s
77.2 %        1.2e+03 s    Elapsed time so far: 2.6 s
77.5 %        1.2e+03 s    Elapsed time so far: 2.6 s
77.9 %        1.2e+03 s    Elapsed time so far: 2.6 s
78.2 %        1.2e+03 s    Elapsed time so far: 2.6 s
78.5 %        1.2e+03 s    Elapsed time so far: 2.6 s
78.9 %        1.2e+03 s    Elapsed time so far: 2.6 s
79.2 %        1.2e+03 s    Elapsed time so far: 2.6 s
79.5 %        1.2e+03 s    Elapsed time so far: 2.6 s
79.9 %        1.2e+03 s    Elapsed time so far: 2.6 s
80.2 %        1.2e+03 s    Elapsed time so far: 2.6 s
80.5 %        1.2e+03 s    Elapsed time so far: 2.6 s
80.9 %        1.2e+03 s    Elapsed time so far: 2.7 s
81.2 %        1.2e+03 s    Elapsed time so far: 2.7 s
81.5 %        1.2e+03 s    Elapsed time so far: 2.7 s
81.9 %        1.2e+03 s    Elapsed time so far: 2.7 s
82.2 %        1.2e+03 s    Elapsed time so far: 2.7 s
82.5 %        1.2e+03 s    Elapsed time so far: 2.7 s
82.9 %        1.2e+03 s    Elapsed time so far: 2.7 s
83.2 %        1.2e+03 s    Elapsed time so far: 2.7 s
83.5 %        1.3e+03 s    Elapsed time so far: 2.7 s
83.9 %        1.3e+03 s    Elapsed time so far: 2.7 s
84.2 %        1.3e+03 s    Elapsed time so far: 2.7 s
84.5 %        1.3e+03 s    Elapsed time so far: 2.7 s
84.9 %        1.3e+03 s    Elapsed time so far: 2.7 s
85.2 %        1.3e+03 s    Elapsed time so far: 2.7 s

85.5 %        1.3e+03 s    Elapsed time so far: 2.8 s
85.9 %        1.3e+03 s    Elapsed time so far: 2.8 s
86.2 %        1.3e+03 s    Elapsed time so far: 2.8 s
86.5 %        1.3e+03 s    Elapsed time so far: 2.8 s
86.9 %        1.3e+03 s    Elapsed time so far: 2.8 s
87.2 %        1.3e+03 s    Elapsed time so far: 2.8 s
87.5 %        1.3e+03 s    Elapsed time so far: 2.8 s
87.9 %        1.3e+03 s    Elapsed time so far: 2.8 s
88.2 %        1.3e+03 s    Elapsed time so far: 2.8 s
88.5 %        1.3e+03 s    Elapsed time so far: 2.8 s
88.9 %        1.3e+03 s    Elapsed time so far: 2.8 s
89.2 %        1.3e+03 s    Elapsed time so far: 2.8 s
89.5 %        1.3e+03 s    Elapsed time so far: 2.8 s
89.9 %        1.3e+03 s    Elapsed time so far: 2.9 s
90.2 %        1.4e+03 s    Elapsed time so far: 2.9 s
90.5 %        1.4e+03 s    Elapsed time so far: 2.9 s
90.9 %        1.4e+03 s    Elapsed time so far: 2.9 s
91.2 %        1.4e+03 s    Elapsed time so far: 2.9 s
91.5 %        1.4e+03 s    Elapsed time so far: 2.9 s
91.9 %        1.4e+03 s    Elapsed time so far: 2.9 s
92.2 %        1.4e+03 s    Elapsed time so far: 2.9 s
92.5 %        1.4e+03 s    Elapsed time so far: 2.9 s
92.9 %        1.4e+03 s    Elapsed time so far: 2.9 s
93.2 %        1.4e+03 s    Elapsed time so far: 2.9 s
93.5 %        1.4e+03 s    Elapsed time so far: 2.9 s
93.9 %        1.4e+03 s    Elapsed time so far: 2.9 s
94.2 %        1.4e+03 s    Elapsed time so far: 3.0 s
94.5 %        1.4e+03 s    Elapsed time so far: 3.0 s
94.9 %        1.4e+03 s    Elapsed time so far: 3.0 s
95.2 %        1.4e+03 s    Elapsed time so far: 3.0 s
95.5 %        1.4e+03 s    Elapsed time so far: 3.0 s
95.9 %        1.4e+03 s    Elapsed time so far: 3.0 s
96.2 %        1.4e+03 s    Elapsed time so far: 3.0 s
96.5 %        1.4e+03 s    Elapsed time so far: 3.0 s
96.9 %        1.5e+03 s    Elapsed time so far: 3.0 s
97.2 %        1.5e+03 s    Elapsed time so far: 3.0 s

97.5 %        1.5e+03 s    Elapsed time so far: 3.0 s
97.9 %        1.5e+03 s    Elapsed time so far: 3.0 s
98.2 %        1.5e+03 s    Elapsed time so far: 3.0 s
98.5 %        1.5e+03 s    Elapsed time so far: 3.0 s
98.9 %        1.5e+03 s    Elapsed time so far: 3.1 s
99.2 %        1.5e+03 s    Elapsed time so far: 3.1 s
99.5 %        1.5e+03 s    Elapsed time so far: 3.1 s
99.9 %        1.5e+03 s    Elapsed time so far: 3.1 s
100.0 %        1.5e+03 s    Elapsed time so far: 3.1 s

Defining initial values
Defining variational problem
Defining source terms
Defining boundary conditions
Time stepping...
0.0 %        1.0e-03 s    Elapsed time so far: 0.0 s
0.0 %        2.1e-03 s    Elapsed time so far: 0.0 s
0.0 %        3.3e-03 s    Elapsed time so far: 0.0 s
0.0 %        4.6e-03 s    Elapsed time so far: 0.0 s
0.0 %        6.1e-03 s    Elapsed time so far: 0.0 s
0.0 %        7.7e-03 s    Elapsed time so far: 0.1 s
0.0 %        9.5e-03 s    Elapsed time so far: 0.1 s
0.0 %        1.1e-02 s    Elapsed time so far: 0.1 s
0.0 %        1.4e-02 s    Elapsed time so far: 0.1 s
0.0 %        1.6e-02 s    Elapsed time so far: 0.1 s
0.0 %        1.9e-02 s    Elapsed time so far: 0.1 s
0.0 %        2.1e-02 s    Elapsed time so far: 0.1 s
0.0 %        2.5e-02 s    Elapsed time so far: 0.1 s
0.0 %        2.8e-02 s    Elapsed time so far: 0.1 s
0.0 %        3.2e-02 s    Elapsed time so far: 0.1 s
0.0 %        3.6e-02 s    Elapsed time so far: 0.1 s
0.0 %        4.1e-02 s    Elapsed time so far: 0.1 s
0.0 %        4.6e-02 s    Elapsed time so far: 0.1 s
0.0 %        5.1e-02 s    Elapsed time so far: 0.1 s
0.0 %        5.7e-02 s    Elapsed time so far: 0.2 s
0.0 %        6.4e-02 s    Elapsed time so far: 0.2 s
0.0 %        7.1e-02 s    Elapsed time so far: 0.2 s
0.0 %        8.0e-02 s    Elapsed time so far: 0.2 s
0.0 %        8.8e-02 s    Elapsed time so far: 0.2 s
0.0 %        9.8e-02 s    Elapsed time so far: 0.2 s
0.0 %        1.1e-01 s    Elapsed time so far: 0.2 s
0.0 %        1.2e-01 s    Elapsed time so far: 0.2 s

0.0 %        1.3e-01 s    Elapsed time so far: 0.2 s
0.0 %        1.5e-01 s    Elapsed time so far: 0.2 s
0.0 %        1.6e-01 s    Elapsed time so far: 0.2 s
0.0 %        1.8e-01 s    Elapsed time so far: 0.2 s
0.0 %        2.0e-01 s    Elapsed time so far: 0.2 s
0.0 %        2.2e-01 s    Elapsed time so far: 0.2 s
0.0 %        2.5e-01 s    Elapsed time so far: 0.3 s
0.0 %        2.7e-01 s    Elapsed time so far: 0.3 s
0.0 %        3.0e-01 s    Elapsed time so far: 0.3 s
0.0 %        3.3e-01 s    Elapsed time so far: 0.3 s
0.0 %        3.6e-01 s    Elapsed time so far: 0.3 s
0.0 %        4.0e-01 s    Elapsed time so far: 0.3 s
0.0 %        4.4e-01 s    Elapsed time so far: 0.3 s
0.0 %        4.9e-01 s    Elapsed time so far: 0.3 s
0.0 %        5.4e-01 s    Elapsed time so far: 0.3 s
0.0 %        5.9e-01 s    Elapsed time so far: 0.3 s
0.0 %        6.5e-01 s    Elapsed time so far: 0.3 s
0.1 %        7.2e-01 s    Elapsed time so far: 0.3 s
0.1 %        7.9e-01 s    Elapsed time so far: 0.3 s
0.1 %        8.7e-01 s    Elapsed time so far: 0.4 s
0.1 %        9.6e-01 s    Elapsed time so far: 0.4 s
0.1 %        1.1e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.2e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.3e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.4e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.6e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.7e+00 s    Elapsed time so far: 0.4 s
0.1 %        1.9e+00 s    Elapsed time so far: 0.4 s
0.1 %        2.1e+00 s    Elapsed time so far: 0.4 s
0.1 %        2.3e+00 s    Elapsed time so far: 0.4 s

0.2 %        2.5e+00 s    Elapsed time so far: 0.4 s
0.2 %        2.8e+00 s    Elapsed time so far: 0.4 s
0.2 %        3.0e+00 s    Elapsed time so far: 0.5 s
0.2 %        3.3e+00 s    Elapsed time so far: 0.5 s
0.2 %        3.7e+00 s    Elapsed time so far: 0.5 s
0.3 %        4.0e+00 s    Elapsed time so far: 0.5 s
0.3 %        4.4e+00 s    Elapsed time so far: 0.5 s
0.3 %        4.9e+00 s    Elapsed time so far: 0.5 s
0.4 %        5.4e+00 s    Elapsed time so far: 0.5 s
0.4 %        5.9e+00 s    Elapsed time so far: 0.5 s
0.4 %        6.5e+00 s    Elapsed time so far: 0.5 s
0.5 %        7.2e+00 s    Elapsed time so far: 0.5 s
0.5 %        7.9e+00 s    Elapsed time so far: 0.5 s
0.6 %        8.7e+00 s    Elapsed time so far: 0.6 s
0.6 %        9.5e+00 s    Elapsed time so far: 0.6 s
0.7 %        1.1e+01 s    Elapsed time so far: 0.6 s
0.8 %        1.2e+01 s    Elapsed time so far: 0.6 s
0.8 %        1.3e+01 s    Elapsed time so far: 0.6 s
0.9 %        1.4e+01 s    Elapsed time so far: 0.6 s
1.0 %        1.5e+01 s    Elapsed time so far: 0.6 s
1.1 %        1.7e+01 s    Elapsed time so far: 0.6 s
1.2 %        1.9e+01 s    Elapsed time so far: 0.6 s
1.4 %        2.0e+01 s    Elapsed time so far: 0.6 s
1.5 %        2.3e+01 s    Elapsed time so far: 0.6 s
1.6 %        2.5e+01 s    Elapsed time so far: 0.7 s

1.8 %        2.7e+01 s    Elapsed time so far: 0.7 s
2.0 %        3.0e+01 s    Elapsed time so far: 0.7 s
2.2 %        3.3e+01 s    Elapsed time so far: 0.7 s
2.4 %        3.6e+01 s    Elapsed time so far: 0.7 s
2.7 %        4.0e+01 s    Elapsed time so far: 0.7 s
2.9 %        4.4e+01 s    Elapsed time so far: 0.7 s
3.2 %        4.8e+01 s    Elapsed time so far: 0.7 s
3.5 %        5.3e+01 s    Elapsed time so far: 0.7 s
3.9 %        5.8e+01 s    Elapsed time so far: 0.7 s
4.2 %        6.3e+01 s    Elapsed time so far: 0.7 s
4.5 %        6.8e+01 s    Elapsed time so far: 0.7 s
4.9 %        7.3e+01 s    Elapsed time so far: 0.8 s
5.2 %        7.8e+01 s    Elapsed time so far: 0.8 s
5.5 %        8.3e+01 s    Elapsed time so far: 0.8 s
5.9 %        8.8e+01 s    Elapsed time so far: 0.8 s
6.2 %        9.3e+01 s    Elapsed time so far: 0.8 s
6.5 %        9.8e+01 s    Elapsed time so far: 0.8 s
6.9 %        1.0e+02 s    Elapsed time so far: 0.8 s
7.2 %        1.1e+02 s    Elapsed time so far: 0.8 s
7.5 %        1.1e+02 s    Elapsed time so far: 0.8 s
7.9 %        1.2e+02 s    Elapsed time so far: 0.8 s
8.2 %        1.2e+02 s    Elapsed time so far: 0.8 s
8.5 %        1.3e+02 s    Elapsed time so far: 0.9 s
8.9 %        1.3e+02 s    Elapsed time so far: 0.9 s
9.2 %        1.4e+02 s    Elapsed time so far: 0.9 s
9.5 %        1.4e+02 s    Elapsed time so far: 0.9 s
9.9 %        1.5e+02 s    Elapsed time so far: 0.9 s
10.2 %        1.5e+02 s    Elapsed time so far: 0.9 s
10.5 %        1.6e+02 s    Elapsed time so far: 0.9 s
10.9 %        1.6e+02 s    Elapsed time so far: 0.9 s
11.2 %        1.7e+02 s    Elapsed time so far: 0.9 s
11.5 %        1.7e+02 s    Elapsed time so far: 0.9 s

11.9 %        1.8e+02 s    Elapsed time so far: 0.9 s
12.2 %        1.8e+02 s    Elapsed time so far: 0.9 s
12.5 %        1.9e+02 s    Elapsed time so far: 1.0 s
12.9 %        1.9e+02 s    Elapsed time so far: 1.0 s
13.2 %        2.0e+02 s    Elapsed time so far: 1.0 s
13.5 %        2.0e+02 s    Elapsed time so far: 1.0 s
13.9 %        2.1e+02 s    Elapsed time so far: 1.0 s
14.2 %        2.1e+02 s    Elapsed time so far: 1.0 s
14.5 %        2.2e+02 s    Elapsed time so far: 1.0 s
14.9 %        2.2e+02 s    Elapsed time so far: 1.0 s
15.2 %        2.3e+02 s    Elapsed time so far: 1.0 s
15.5 %        2.3e+02 s    Elapsed time so far: 1.0 s
15.9 %        2.4e+02 s    Elapsed time so far: 1.0 s
16.2 %        2.4e+02 s    Elapsed time so far: 1.1 s
16.5 %        2.5e+02 s    Elapsed time so far: 1.1 s
16.9 %        2.5e+02 s    Elapsed time so far: 1.1 s
17.2 %        2.6e+02 s    Elapsed time so far: 1.1 s
17.5 %        2.6e+02 s    Elapsed time so far: 1.1 s
17.9 %        2.7e+02 s    Elapsed time so far: 1.1 s
18.2 %        2.7e+02 s    Elapsed time so far: 1.1 s
18.5 %        2.8e+02 s    Elapsed time so far: 1.1 s
18.9 %        2.8e+02 s    Elapsed time so far: 1.1 s
19.2 %        2.9e+02 s    Elapsed time so far: 1.1 s
19.5 %        2.9e+02 s    Elapsed time so far: 1.1 s
19.9 %        3.0e+02 s    Elapsed time so far: 1.2 s
20.2 %        3.0e+02 s    Elapsed time so far: 1.2 s
20.5 %        3.1e+02 s    Elapsed time so far: 1.2 s
20.9 %        3.1e+02 s    Elapsed time so far: 1.2 s
21.2 %        3.2e+02 s    Elapsed time so far: 1.2 s
21.5 %        3.2e+02 s    Elapsed time so far: 1.2 s
21.9 %        3.3e+02 s    Elapsed time so far: 1.2 s

22.2 %        3.3e+02 s    Elapsed time so far: 1.2 s
22.5 %        3.4e+02 s    Elapsed time so far: 1.2 s
22.9 %        3.4e+02 s    Elapsed time so far: 1.2 s
23.2 %        3.5e+02 s    Elapsed time so far: 1.2 s
23.5 %        3.5e+02 s    Elapsed time so far: 1.2 s
23.9 %        3.6e+02 s    Elapsed time so far: 1.2 s
24.2 %        3.6e+02 s    Elapsed time so far: 1.3 s
24.5 %        3.7e+02 s    Elapsed time so far: 1.3 s
24.9 %        3.7e+02 s    Elapsed time so far: 1.3 s
25.2 %        3.8e+02 s    Elapsed time so far: 1.3 s
25.5 %        3.8e+02 s    Elapsed time so far: 1.3 s
25.9 %        3.9e+02 s    Elapsed time so far: 1.3 s
26.2 %        3.9e+02 s    Elapsed time so far: 1.3 s
26.5 %        4.0e+02 s    Elapsed time so far: 1.3 s
26.9 %        4.0e+02 s    Elapsed time so far: 1.3 s
27.2 %        4.1e+02 s    Elapsed time so far: 1.3 s
27.5 %        4.1e+02 s    Elapsed time so far: 1.4 s
27.9 %        4.2e+02 s    Elapsed time so far: 1.4 s
28.2 %        4.2e+02 s    Elapsed time so far: 1.4 s
28.5 %        4.3e+02 s    Elapsed time so far: 1.4 s
28.9 %        4.3e+02 s    Elapsed time so far: 1.4 s
29.2 %        4.4e+02 s    Elapsed time so far: 1.4 s
29.5 %        4.4e+02 s    Elapsed time so far: 1.4 s
29.9 %        4.5e+02 s    Elapsed time so far: 1.4 s
30.2 %        4.5e+02 s    Elapsed time so far: 1.4 s
30.5 %        4.6e+02 s    Elapsed time so far: 1.4 s
30.9 %        4.6e+02 s    Elapsed time so far: 1.4 s
31.2 %        4.7e+02 s    Elapsed time so far: 1.5 s
31.5 %        4.7e+02 s    Elapsed time so far: 1.5 s
31.9 %        4.8e+02 s    Elapsed time so far: 1.5 s
32.2 %        4.8e+02 s    Elapsed time so far: 1.5 s
32.5 %        4.9e+02 s    Elapsed time so far: 1.5 s

32.9 %        4.9e+02 s    Elapsed time so far: 1.5 s
33.2 %        5.0e+02 s    Elapsed time so far: 1.5 s
33.5 %        5.0e+02 s    Elapsed time so far: 1.5 s
33.9 %        5.1e+02 s    Elapsed time so far: 1.5 s
34.2 %        5.1e+02 s    Elapsed time so far: 1.5 s
34.5 %        5.2e+02 s    Elapsed time so far: 1.5 s
34.9 %        5.2e+02 s    Elapsed time so far: 1.5 s
35.2 %        5.3e+02 s    Elapsed time so far: 1.6 s
35.5 %        5.3e+02 s    Elapsed time so far: 1.6 s
35.9 %        5.4e+02 s    Elapsed time so far: 1.6 s
36.2 %        5.4e+02 s    Elapsed time so far: 1.6 s
36.5 %        5.5e+02 s    Elapsed time so far: 1.6 s
36.9 %        5.5e+02 s    Elapsed time so far: 1.6 s
37.2 %        5.6e+02 s    Elapsed time so far: 1.6 s
37.5 %        5.6e+02 s    Elapsed time so far: 1.6 s
37.9 %        5.7e+02 s    Elapsed time so far: 1.6 s
38.2 %        5.7e+02 s    Elapsed time so far: 1.6 s
38.5 %        5.8e+02 s    Elapsed time so far: 1.6 s
38.9 %        5.8e+02 s    Elapsed time so far: 1.6 s
39.2 %        5.9e+02 s    Elapsed time so far: 1.7 s
39.5 %        5.9e+02 s    Elapsed time so far: 1.7 s
39.9 %        6.0e+02 s    Elapsed time so far: 1.7 s
40.2 %        6.0e+02 s    Elapsed time so far: 1.7 s
40.5 %        6.1e+02 s    Elapsed time so far: 1.7 s
40.9 %        6.1e+02 s    Elapsed time so far: 1.7 s
41.2 %        6.2e+02 s    Elapsed time so far: 1.7 s
41.5 %        6.2e+02 s    Elapsed time so far: 1.7 s
41.9 %        6.3e+02 s    Elapsed time so far: 1.7 s
42.2 %        6.3e+02 s    Elapsed time so far: 1.7 s
42.5 %        6.4e+02 s    Elapsed time so far: 1.7 s
42.9 %        6.4e+02 s    Elapsed time so far: 1.7 s
43.2 %        6.5e+02 s    Elapsed time so far: 1.7 s
43.5 %        6.5e+02 s    Elapsed time so far: 1.7 s
43.9 %        6.6e+02 s    Elapsed time so far: 1.8 s
44.2 %        6.6e+02 s    Elapsed time so far: 1.8 s

44.5 %        6.7e+02 s    Elapsed time so far: 1.8 s
44.9 %        6.7e+02 s    Elapsed time so far: 1.8 s
45.2 %        6.8e+02 s    Elapsed time so far: 1.8 s
45.5 %        6.8e+02 s    Elapsed time so far: 1.8 s
45.9 %        6.9e+02 s    Elapsed time so far: 1.8 s
46.2 %        6.9e+02 s    Elapsed time so far: 1.8 s
46.5 %        7.0e+02 s    Elapsed time so far: 1.8 s
46.9 %        7.0e+02 s    Elapsed time so far: 1.8 s
47.2 %        7.1e+02 s    Elapsed time so far: 1.8 s
47.5 %        7.1e+02 s    Elapsed time so far: 1.8 s
47.9 %        7.2e+02 s    Elapsed time so far: 1.8 s
48.2 %        7.2e+02 s    Elapsed time so far: 1.9 s
48.5 %        7.3e+02 s    Elapsed time so far: 1.9 s
48.9 %        7.3e+02 s    Elapsed time so far: 1.9 s
49.2 %        7.4e+02 s    Elapsed time so far: 1.9 s
49.5 %        7.4e+02 s    Elapsed time so far: 1.9 s
49.9 %        7.5e+02 s    Elapsed time so far: 1.9 s
50.2 %        7.5e+02 s    Elapsed time so far: 1.9 s
50.5 %        7.6e+02 s    Elapsed time so far: 1.9 s
50.9 %        7.6e+02 s    Elapsed time so far: 1.9 s
51.2 %        7.7e+02 s    Elapsed time so far: 1.9 s
51.5 %        7.7e+02 s    Elapsed time so far: 1.9 s
51.9 %        7.8e+02 s    Elapsed time so far: 1.9 s
52.2 %        7.8e+02 s    Elapsed time so far: 1.9 s
52.5 %        7.9e+02 s    Elapsed time so far: 1.9 s
52.9 %        7.9e+02 s    Elapsed time so far: 2.0 s
53.2 %        8.0e+02 s    Elapsed time so far: 2.0 s
53.5 %        8.0e+02 s    Elapsed time so far: 2.0 s
53.9 %        8.1e+02 s    Elapsed time so far: 2.0 s
54.2 %        8.1e+02 s    Elapsed time so far: 2.0 s
54.5 %        8.2e+02 s    Elapsed time so far: 2.0 s
54.9 %        8.2e+02 s    Elapsed time so far: 2.0 s
55.2 %        8.3e+02 s    Elapsed time so far: 2.0 s
55.5 %        8.3e+02 s    Elapsed time so far: 2.0 s
55.9 %        8.4e+02 s    Elapsed time so far: 2.0 s
56.2 %        8.4e+02 s    Elapsed time so far: 2.0 s

56.5 %        8.5e+02 s    Elapsed time so far: 2.0 s
56.9 %        8.5e+02 s    Elapsed time so far: 2.0 s
57.2 %        8.6e+02 s    Elapsed time so far: 2.0 s
57.5 %        8.6e+02 s    Elapsed time so far: 2.1 s
57.9 %        8.7e+02 s    Elapsed time so far: 2.1 s
58.2 %        8.7e+02 s    Elapsed time so far: 2.1 s
58.5 %        8.8e+02 s    Elapsed time so far: 2.1 s
58.9 %        8.8e+02 s    Elapsed time so far: 2.1 s
59.2 %        8.9e+02 s    Elapsed time so far: 2.1 s
59.5 %        8.9e+02 s    Elapsed time so far: 2.1 s
59.9 %        9.0e+02 s    Elapsed time so far: 2.1 s
60.2 %        9.0e+02 s    Elapsed time so far: 2.1 s
60.5 %        9.1e+02 s    Elapsed time so far: 2.1 s
60.9 %        9.1e+02 s    Elapsed time so far: 2.1 s
61.2 %        9.2e+02 s    Elapsed time so far: 2.1 s
61.5 %        9.2e+02 s    Elapsed time so far: 2.1 s
61.9 %        9.3e+02 s    Elapsed time so far: 2.2 s
62.2 %        9.3e+02 s    Elapsed time so far: 2.2 s
62.5 %        9.4e+02 s    Elapsed time so far: 2.2 s
62.9 %        9.4e+02 s    Elapsed time so far: 2.2 s
63.2 %        9.5e+02 s    Elapsed time so far: 2.2 s
63.5 %        9.5e+02 s    Elapsed time so far: 2.2 s
63.9 %        9.6e+02 s    Elapsed time so far: 2.2 s
64.2 %        9.6e+02 s    Elapsed time so far: 2.2 s
64.5 %        9.7e+02 s    Elapsed time so far: 2.2 s
64.9 %        9.7e+02 s    Elapsed time so far: 2.2 s
65.2 %        9.8e+02 s    Elapsed time so far: 2.2 s
65.5 %        9.8e+02 s    Elapsed time so far: 2.2 s
65.9 %        9.9e+02 s    Elapsed time so far: 2.2 s
66.2 %        9.9e+02 s    Elapsed time so far: 2.2 s
66.5 %        1.0e+03 s    Elapsed time so far: 2.2 s
66.9 %        1.0e+03 s    Elapsed time so far: 2.3 s
67.2 %        1.0e+03 s    Elapsed time so far: 2.3 s
67.5 %        1.0e+03 s    Elapsed time so far: 2.3 s
67.9 %        1.0e+03 s    Elapsed time so far: 2.3 s
68.2 %        1.0e+03 s    Elapsed time so far: 2.3 s
68.5 %        1.0e+03 s    Elapsed time so far: 2.3 s

68.9 %        1.0e+03 s    Elapsed time so far: 2.3 s
69.2 %        1.0e+03 s    Elapsed time so far: 2.3 s
69.5 %        1.0e+03 s    Elapsed time so far: 2.3 s
69.9 %        1.0e+03 s    Elapsed time so far: 2.3 s
70.2 %        1.1e+03 s    Elapsed time so far: 2.3 s
70.5 %        1.1e+03 s    Elapsed time so far: 2.3 s
70.9 %        1.1e+03 s    Elapsed time so far: 2.4 s
71.2 %        1.1e+03 s    Elapsed time so far: 2.4 s
71.5 %        1.1e+03 s    Elapsed time so far: 2.4 s
71.9 %        1.1e+03 s    Elapsed time so far: 2.4 s
72.2 %        1.1e+03 s    Elapsed time so far: 2.4 s
72.5 %        1.1e+03 s    Elapsed time so far: 2.4 s
72.9 %        1.1e+03 s    Elapsed time so far: 2.4 s
73.2 %        1.1e+03 s    Elapsed time so far: 2.4 s
73.5 %        1.1e+03 s    Elapsed time so far: 2.4 s
73.9 %        1.1e+03 s    Elapsed time so far: 2.4 s
74.2 %        1.1e+03 s    Elapsed time so far: 2.4 s
74.5 %        1.1e+03 s    Elapsed time so far: 2.4 s
74.9 %        1.1e+03 s    Elapsed time so far: 2.4 s
75.2 %        1.1e+03 s    Elapsed time so far: 2.4 s
75.5 %        1.1e+03 s    Elapsed time so far: 2.5 s
75.9 %        1.1e+03 s    Elapsed time so far: 2.5 s
76.2 %        1.1e+03 s    Elapsed time so far: 2.5 s
76.5 %        1.1e+03 s    Elapsed time so far: 2.5 s
76.9 %        1.2e+03 s    Elapsed time so far: 2.5 s
77.2 %        1.2e+03 s    Elapsed time so far: 2.5 s
77.5 %        1.2e+03 s    Elapsed time so far: 2.5 s
77.9 %        1.2e+03 s    Elapsed time so far: 2.5 s
78.2 %        1.2e+03 s    Elapsed time so far: 2.5 s
78.5 %        1.2e+03 s    Elapsed time so far: 2.5 s
78.9 %        1.2e+03 s    Elapsed time so far: 2.5 s
79.2 %        1.2e+03 s    Elapsed time so far: 2.5 s
79.5 %        1.2e+03 s    Elapsed time so far: 2.5 s
79.9 %        1.2e+03 s    Elapsed time so far: 2.6 s
80.2 %        1.2e+03 s    Elapsed time so far: 2.6 s

80.5 %        1.2e+03 s    Elapsed time so far: 2.6 s
80.9 %        1.2e+03 s    Elapsed time so far: 2.6 s
81.2 %        1.2e+03 s    Elapsed time so far: 2.6 s
81.5 %        1.2e+03 s    Elapsed time so far: 2.6 s
81.9 %        1.2e+03 s    Elapsed time so far: 2.6 s
82.2 %        1.2e+03 s    Elapsed time so far: 2.6 s
82.5 %        1.2e+03 s    Elapsed time so far: 2.6 s
82.9 %        1.2e+03 s    Elapsed time so far: 2.6 s
83.2 %        1.2e+03 s    Elapsed time so far: 2.6 s
83.5 %        1.3e+03 s    Elapsed time so far: 2.6 s
83.9 %        1.3e+03 s    Elapsed time so far: 2.6 s
84.2 %        1.3e+03 s    Elapsed time so far: 2.6 s
84.5 %        1.3e+03 s    Elapsed time so far: 2.7 s
84.9 %        1.3e+03 s    Elapsed time so far: 2.7 s
85.2 %        1.3e+03 s    Elapsed time so far: 2.7 s
85.5 %        1.3e+03 s    Elapsed time so far: 2.7 s
85.9 %        1.3e+03 s    Elapsed time so far: 2.7 s
86.2 %        1.3e+03 s    Elapsed time so far: 2.7 s
86.5 %        1.3e+03 s    Elapsed time so far: 2.7 s
86.9 %        1.3e+03 s    Elapsed time so far: 2.7 s
87.2 %        1.3e+03 s    Elapsed time so far: 2.7 s
87.5 %        1.3e+03 s    Elapsed time so far: 2.7 s
87.9 %        1.3e+03 s    Elapsed time so far: 2.7 s
88.2 %        1.3e+03 s    Elapsed time so far: 2.7 s
88.5 %        1.3e+03 s    Elapsed time so far: 2.7 s
88.9 %        1.3e+03 s    Elapsed time so far: 2.7 s
89.2 %        1.3e+03 s    Elapsed time so far: 2.8 s
89.5 %        1.3e+03 s    Elapsed time so far: 2.8 s
89.9 %        1.3e+03 s    Elapsed time so far: 2.8 s
90.2 %        1.4e+03 s    Elapsed time so far: 2.8 s
90.5 %        1.4e+03 s    Elapsed time so far: 2.8 s
90.9 %        1.4e+03 s    Elapsed time so far: 2.8 s
91.2 %        1.4e+03 s    Elapsed time so far: 2.8 s
91.5 %        1.4e+03 s    Elapsed time so far: 2.8 s
91.9 %        1.4e+03 s    Elapsed time so far: 2.8 s
92.2 %        1.4e+03 s    Elapsed time so far: 2.8 s
92.5 %        1.4e+03 s    Elapsed time so far: 2.8 s

92.9 %        1.4e+03 s    Elapsed time so far: 2.8 s
93.2 %        1.4e+03 s    Elapsed time so far: 2.8 s
93.5 %        1.4e+03 s    Elapsed time so far: 2.8 s
93.9 %        1.4e+03 s    Elapsed time so far: 2.9 s
94.2 %        1.4e+03 s    Elapsed time so far: 2.9 s
94.5 %        1.4e+03 s    Elapsed time so far: 2.9 s
94.9 %        1.4e+03 s    Elapsed time so far: 2.9 s
95.2 %        1.4e+03 s    Elapsed time so far: 2.9 s
95.5 %        1.4e+03 s    Elapsed time so far: 2.9 s
95.9 %        1.4e+03 s    Elapsed time so far: 2.9 s
96.2 %        1.4e+03 s    Elapsed time so far: 2.9 s
96.5 %        1.4e+03 s    Elapsed time so far: 2.9 s
96.9 %        1.5e+03 s    Elapsed time so far: 2.9 s
97.2 %        1.5e+03 s    Elapsed time so far: 2.9 s
97.5 %        1.5e+03 s    Elapsed time so far: 2.9 s
97.9 %        1.5e+03 s    Elapsed time so far: 2.9 s
98.2 %        1.5e+03 s    Elapsed time so far: 2.9 s
98.5 %        1.5e+03 s    Elapsed time so far: 3.0 s
98.9 %        1.5e+03 s    Elapsed time so far: 3.0 s
99.2 %        1.5e+03 s    Elapsed time so far: 3.0 s
99.5 %        1.5e+03 s    Elapsed time so far: 3.0 s
99.9 %        1.5e+03 s    Elapsed time so far: 3.0 s
100.0 %        1.5e+03 s    Elapsed time so far: 3.0 s

Comparison with experimental data

FESTIM reproduces the experimental data over the whole range of temperatures using one set of parameters.

Show code cell source Hide code cell source

import plotly.graph_objects as go
import plotly.express as px

fig = go.Figure()

for i, T in enumerate(T_list):
    color = px.colors.qualitative.Plotly[i]

    FESTIM_data = results[T]
    retention = np.array(FESTIM_data[1].data) + np.array(FESTIM_data[0].data)
    t = np.array(FESTIM_data.t)

    exp = np.loadtxt(f"./content_data/{T-273}.csv", delimiter=",", skiprows=1)

    fig.add_trace(
        go.Scatter(
            x=t / 60,
            y=retention * A / N_Ti,
            mode="lines",
            line=dict(color=color, width=3),
            name=f"FESTIM: T={T} K",
        )
    )

    fig.add_trace(
        go.Scatter(
            x=exp[:, 0],
            y=exp[:, 1],
            mode="markers",
            marker=dict(color=color, size=9),
            name=f"Exp.: T={T} K",
        )
    )


fig.update_yaxes(title_text="Content, H/Ti", range=[0, 0.8], tick0=0, dtick=0.1)
fig.update_xaxes(title_text="Time, min", range=[0, 25], tick0=0, dtick=5)
fig.update_layout(template="simple_white", height=600)

# The writing-reading block below is needed to avoid the issue with compatibility
# of Plotly plots and dollarmath syntax extension in Jupyter Book
# For mode details, see https://github.com/jupyter-book/jupyter-book/issues/1528 

fig.write_html("./hirooka_comparison.html")
from IPython.display import HTML, display
display(HTML("./hirooka_comparison.html"))

Fitted parameters

The table below displays the input parameters which were determined during the optimisation procedure.

Show code cell source Hide code cell source

import pandas as pd

pd.set_option("display.float_format", "{:.3e}".format)
prms_list = [k_sb, E_sb, k_bs, E_bs, k_des, E_des]
col_names = [
    "k_sb (s^-1)",
    "E_sb (eV)",
    "k_bs (s^-1)",
    "E_bs (eV)",
    "k_des (m^2 s^-1)",
    "E_des (eV)",
]

data = pd.DataFrame(prms_list).T
data.columns = col_names
data.style.relabel_index(["value"], axis=0).format("{:.2e}".format)

	k_sb (s^-1)	E_sb (eV)	k_bs (s^-1)	E_bs (eV)	k_des (m^2 s^-1)	E_des (eV)
value	5.14e+09	1.01e+00	1.00e+10	1.05e+00	3.41e-11	5.62e-01