void
FiniteStrainPlasticBase::checkJacobian()
{
_console << "\n ++++++++++++++ \nChecking the Jacobian\n";
outputAndCheckDebugParameters();
RankFourTensor E_inv = _elasticity_tensor[_qp].invSymm();
RankTwoTensor delta_dp = -E_inv*_fspb_debug_stress;
std::vector<std::vector<Real> > jac;
calculateJacobian(_fspb_debug_stress, _fspb_debug_intnl, _fspb_debug_pm, E_inv, jac);
std::vector<std::vector<Real> > fdjac;
fdJacobian(_fspb_debug_stress, _intnl_old[_qp], _fspb_debug_intnl, _fspb_debug_pm, delta_dp, E_inv, fdjac);
_console << "Hand-coded Jacobian:\n";
for (unsigned row = 0 ; row < jac.size() ; ++row)
{
for (unsigned col = 0 ; col < jac.size() ; ++col)
_console << jac[row][col] << " ";
_console << "\n";
}
_console << "Finite difference Jacobian:\n";
for (unsigned row = 0 ; row < fdjac.size() ; ++row)
{
for (unsigned col = 0 ; col < fdjac.size() ; ++col)
_console << fdjac[row][col] << " ";
_console << "\n";
}
}
void
MultiPlasticityDebugger::checkJacobian(const RankFourTensor & E_inv,
const std::vector<Real> & intnl_old)
{
Moose::err << "\n\n+++++++++++++++++++++\nChecking the Jacobian\n+++++++++++++++++++++\n";
outputAndCheckDebugParameters();
std::vector<bool> act;
act.assign(_num_surfaces, true);
std::vector<bool> deactivated_due_to_ld;
deactivated_due_to_ld.assign(_num_surfaces, false);
RankTwoTensor delta_dp = -E_inv * _fspb_debug_stress;
std::vector<std::vector<Real>> jac;
calculateJacobian(_fspb_debug_stress,
_fspb_debug_intnl,
_fspb_debug_pm,
E_inv,
act,
deactivated_due_to_ld,
jac);
std::vector<std::vector<Real>> fdjac;
fdJacobian(_fspb_debug_stress,
intnl_old,
_fspb_debug_intnl,
_fspb_debug_pm,
delta_dp,
E_inv,
false,
fdjac);
Real L2_numer = 0;
Real L2_denom = 0;
for (unsigned row = 0; row < jac.size(); ++row)
for (unsigned col = 0; col < jac.size(); ++col)
{
L2_numer += Utility::pow<2>(jac[row][col] - fdjac[row][col]);
L2_denom += Utility::pow<2>(jac[row][col] + fdjac[row][col]);
}
Moose::err << "\nRelative L2norm = " << std::sqrt(L2_numer / L2_denom) / 0.5 << "\n";
Moose::err << "\nHand-coded Jacobian:\n";
for (unsigned row = 0; row < jac.size(); ++row)
{
for (unsigned col = 0; col < jac.size(); ++col)
Moose::err << jac[row][col] << " ";
Moose::err << "\n";
}
Moose::err << "Finite difference Jacobian:\n";
for (unsigned row = 0; row < fdjac.size(); ++row)
{
for (unsigned col = 0; col < fdjac.size(); ++col)
Moose::err << fdjac[row][col] << " ";
Moose::err << "\n";
}
}
void
MultiPlasticityDebugger::checkSolution(const RankFourTensor & E_inv)
{
Moose::err << "\n\n+++++++++++++++++++++\nChecking the Solution\n";
Moose::err << "(Ie, checking Ax = b)\n+++++++++++++++++++++\n";
outputAndCheckDebugParameters();
std::vector<bool> act;
act.assign(_num_surfaces, true);
std::vector<bool> deactivated_due_to_ld;
deactivated_due_to_ld.assign(_num_surfaces, false);
RankTwoTensor delta_dp = -E_inv * _fspb_debug_stress;
std::vector<Real> orig_rhs;
calculateRHS(_fspb_debug_stress,
_fspb_debug_intnl,
_fspb_debug_intnl,
_fspb_debug_pm,
delta_dp,
orig_rhs,
act,
true,
deactivated_due_to_ld);
Moose::err << "\nb = ";
for (unsigned i = 0; i < orig_rhs.size(); ++i)
Moose::err << orig_rhs[i] << " ";
Moose::err << "\n\n";
std::vector<std::vector<Real>> jac_coded;
calculateJacobian(_fspb_debug_stress,
_fspb_debug_intnl,
_fspb_debug_pm,
E_inv,
act,
deactivated_due_to_ld,
jac_coded);
Moose::err
<< "Before checking Ax=b is correct, check that the Jacobians given below are equal.\n";
Moose::err
<< "The hand-coded Jacobian is used in calculating the solution 'x', given 'b' above.\n";
Moose::err << "Note that this only includes degrees of freedom that aren't deactivated due to "
"linear dependence.\n";
Moose::err << "Hand-coded Jacobian:\n";
for (unsigned row = 0; row < jac_coded.size(); ++row)
{
for (unsigned col = 0; col < jac_coded.size(); ++col)
Moose::err << jac_coded[row][col] << " ";
Moose::err << "\n";
}
deactivated_due_to_ld.assign(_num_surfaces,
false); // this potentially gets changed by nrStep, below
RankTwoTensor dstress;
std::vector<Real> dpm;
std::vector<Real> dintnl;
nrStep(_fspb_debug_stress,
_fspb_debug_intnl,
_fspb_debug_intnl,
_fspb_debug_pm,
E_inv,
delta_dp,
dstress,
dpm,
dintnl,
act,
deactivated_due_to_ld);
std::vector<bool> active_not_deact(_num_surfaces);
for (unsigned surface = 0; surface < _num_surfaces; ++surface)
active_not_deact[surface] = !deactivated_due_to_ld[surface];
std::vector<Real> x;
x.assign(orig_rhs.size(), 0);
unsigned ind = 0;
for (unsigned i = 0; i < 3; ++i)
for (unsigned j = 0; j <= i; ++j)
x[ind++] = dstress(i, j);
for (unsigned surface = 0; surface < _num_surfaces; ++surface)
if (active_not_deact[surface])
x[ind++] = dpm[surface];
for (unsigned model = 0; model < _num_models; ++model)
if (anyActiveSurfaces(model, active_not_deact))
x[ind++] = dintnl[model];
mooseAssert(ind == orig_rhs.size(),
"Incorrect extracting of changes from NR solution in the "
"finite-difference checking of nrStep");
Moose::err << "\nThis yields x =";
for (unsigned i = 0; i < orig_rhs.size(); ++i)
Moose::err << x[i] << " ";
Moose::err << "\n";
std::vector<std::vector<Real>> jac_fd;
fdJacobian(_fspb_debug_stress,
_fspb_debug_intnl,
_fspb_debug_intnl,
_fspb_debug_pm,
delta_dp,
E_inv,
true,
jac_fd);
Moose::err << "\nThe finite-difference Jacobian is used to multiply by this 'x',\n";
Moose::err << "in order to check that the solution is correct\n";
Moose::err << "Finite-difference Jacobian:\n";
for (unsigned row = 0; row < jac_fd.size(); ++row)
{
for (unsigned col = 0; col < jac_fd.size(); ++col)
Moose::err << jac_fd[row][col] << " ";
Moose::err << "\n";
}
Real L2_numer = 0;
Real L2_denom = 0;
for (unsigned row = 0; row < jac_coded.size(); ++row)
for (unsigned col = 0; col < jac_coded.size(); ++col)
{
L2_numer += Utility::pow<2>(jac_coded[row][col] - jac_fd[row][col]);
L2_denom += Utility::pow<2>(jac_coded[row][col] + jac_fd[row][col]);
}
Moose::err << "Relative L2norm of the hand-coded and finite-difference Jacobian is "
<< std::sqrt(L2_numer / L2_denom) / 0.5 << "\n";
std::vector<Real> fd_times_x;
fd_times_x.assign(orig_rhs.size(), 0);
for (unsigned row = 0; row < orig_rhs.size(); ++row)
for (unsigned col = 0; col < orig_rhs.size(); ++col)
fd_times_x[row] += jac_fd[row][col] * x[col];
Moose::err << "\n(Finite-difference Jacobian)*x =\n";
for (unsigned i = 0; i < orig_rhs.size(); ++i)
Moose::err << fd_times_x[i] << " ";
Moose::err << "\n";
Moose::err << "Recall that b = \n";
for (unsigned i = 0; i < orig_rhs.size(); ++i)
Moose::err << orig_rhs[i] << " ";
Moose::err << "\n";
L2_numer = 0;
L2_denom = 0;
for (unsigned i = 0; i < orig_rhs.size(); ++i)
{
L2_numer += Utility::pow<2>(orig_rhs[i] - fd_times_x[i]);
L2_denom += Utility::pow<2>(orig_rhs[i] + fd_times_x[i]);
}
Moose::err << "\nRelative L2norm of these is " << std::sqrt(L2_numer / L2_denom) / 0.5 << "\n";
}