void RBEIMConstruction::initialize_parametrized_functions_in_training_set()
{
if(!serial_training_set)
{
libMesh::err << "Error: We must have serial_training_set==true in "
<< "RBEIMConstruction::initialize_parametrized_functions_in_training_set"
<< std::endl;
libmesh_error();
}
libMesh::out << "Initializing parametrized functions in training set..." << std::endl;
// initialize rb_eval's parameters
get_rb_evaluation().initialize_parameters(*this);
_parametrized_functions_in_training_set.resize( get_n_training_samples() );
for(unsigned int i=0; i<get_n_training_samples(); i++)
{
set_params_from_training_set(i);
truth_solve(-1);
_parametrized_functions_in_training_set[i] = solution->clone().release();
libMesh::out << "Completed solve for training sample " << (i+1) << " of " << get_n_training_samples() << std::endl;
}
_parametrized_functions_in_training_set_initialized = true;
libMesh::out << "Parametrized functions in training set initialized" << std::endl << std::endl;
}
void RBSCMConstruction::print_info()
{
// Print out info that describes the current setup
libMesh::out << std::endl << "RBSCMConstruction parameters:" << std::endl;
libMesh::out << "system name: " << this->name() << std::endl;
libMesh::out << "SCM Greedy tolerance: " << get_SCM_training_tolerance() << std::endl;
if(rb_scm_eval)
{
libMesh::out << "A_q operators attached: " << get_rb_theta_expansion().get_n_A_terms() << std::endl;
libMesh::out << "Number of parameters: " << get_n_params() << std::endl;
}
else
{
libMesh::out << "RBThetaExpansion member is not set yet" << std::endl;
}
RBParameters::const_iterator it = get_parameters().begin();
RBParameters::const_iterator it_end = get_parameters().end();
for( ; it != it_end; ++it)
{
std::string param_name = it->first;
libMesh::out << "Parameter " << param_name
<< ": Min = " << get_parameter_min(param_name)
<< ", Max = " << get_parameter_max(param_name)
<< ", value = " << get_parameters().get_value(param_name) << std::endl;
}
libMesh::out << "n_training_samples: " << get_n_training_samples() << std::endl;
libMesh::out << std::endl;
}
Real RBEIMConstruction::truth_solve(int plot_solution)
{
START_LOG("truth_solve()", "RBEIMConstruction");
// matrix should have been set to inner_product_matrix during initialization
// if(!single_matrix_mode)
// {
// matrix->zero();
// matrix->add(1., *inner_product_matrix);
// }
// else
// {
// assemble_inner_product_matrix(matrix);
// }
int training_parameters_found_index = -1;
if( _parametrized_functions_in_training_set_initialized )
{
// Check if parameters are in the training set. If so, we can just load the
// solution from _parametrized_functions_in_training_set
for(unsigned int i=0; i<get_n_training_samples(); i++)
{
if(get_parameters() == get_params_from_training_set(i))
{
training_parameters_found_index = i;
break;
}
}
}
// If the parameters are in the training set, just copy the solution vector
if(training_parameters_found_index >= 0)
{
*solution = *_parametrized_functions_in_training_set[training_parameters_found_index];
update(); // put the solution into current_local_solution as well
}
// Otherwise, we have to compute the projection
else
{
RBEIMEvaluation& eim_eval = libmesh_cast_ref<RBEIMEvaluation&>(get_rb_evaluation());
eim_eval.set_parameters( get_parameters() );
// Compute truth representation via projection
const MeshBase& mesh = this->get_mesh();
AutoPtr<FEMContext> c = this->build_context();
FEMContext &context = libmesh_cast_ref<FEMContext&>(*c);
this->init_context(context);
rhs->zero();
MeshBase::const_element_iterator el = mesh.active_local_elements_begin();
const MeshBase::const_element_iterator end_el = mesh.active_local_elements_end();
for ( ; el != end_el; ++el)
{
context.pre_fe_reinit(*this, *el);
context.elem_fe_reinit();
for(unsigned int var=0; var<n_vars(); var++)
{
const std::vector<Real> &JxW =
context.element_fe_var[var]->get_JxW();
const std::vector<std::vector<Real> >& phi =
context.element_fe_var[var]->get_phi();
const std::vector<Point> &xyz =
context.element_fe_var[var]->get_xyz();
unsigned int n_qpoints = context.element_qrule->n_points();
unsigned int n_var_dofs = libmesh_cast_int<unsigned int>
(context.dof_indices_var[var].size());
DenseSubVector<Number>& subresidual_var = *context.elem_subresiduals[var];
for(unsigned int qp=0; qp<n_qpoints; qp++)
for(unsigned int i=0; i != n_var_dofs; i++)
subresidual_var(i) += JxW[qp] * eim_eval.evaluate_parametrized_function(var, xyz[qp]) * phi[i][qp];
}
// Apply constraints, e.g. periodic constraints
this->get_dof_map().constrain_element_vector(context.get_elem_residual(), context.dof_indices);
// Add element vector to global vector
rhs->add_vector(context.get_elem_residual(), context.dof_indices);
}
// Solve to find the best fit, then solution stores the truth representation
// of the function to be approximated
solve();
// Make sure we didn't max out the number of iterations
if( (this->n_linear_iterations() >=
this->get_equation_systems().parameters.get<unsigned int>("linear solver maximum iterations")) &&
(this->final_linear_residual() >
this->get_equation_systems().parameters.get<Real>("linear solver tolerance")) )
{
libMesh::out << "Warning: Linear solver may not have converged! Final linear residual = "
<< this->final_linear_residual() << ", number of iterations = "
<< this->n_linear_iterations() << std::endl << std::endl;
// libmesh_error();
}
if(reuse_preconditioner)
{
// After we've done a solve we can now reuse the preconditioner
// because the matrix is not changing
linear_solver->reuse_preconditioner(true);
}
}
if(plot_solution > 0)
{
#ifdef LIBMESH_HAVE_EXODUS_API
ExodusII_IO(get_mesh()).write_equation_systems ("truth.e",
this->get_equation_systems());
#endif
}
STOP_LOG("truth_solve()", "RBEIMConstruction");
return 0.;
}
Real RBEIMConstruction::truth_solve(int plot_solution)
{
START_LOG("truth_solve()", "RBEIMConstruction");
int training_parameters_found_index = -1;
if( _parametrized_functions_in_training_set_initialized )
{
// Check if parameters are in the training set. If so, we can just load the
// solution from _parametrized_functions_in_training_set
for(unsigned int i=0; i<get_n_training_samples(); i++)
{
if(get_parameters() == get_params_from_training_set(i))
{
training_parameters_found_index = i;
break;
}
}
}
// If the parameters are in the training set, just copy the solution vector
if(training_parameters_found_index >= 0)
{
*solution = *_parametrized_functions_in_training_set[training_parameters_found_index];
update(); // put the solution into current_local_solution as well
}
// Otherwise, we have to compute the projection
else
{
RBEIMEvaluation& eim_eval = cast_ref<RBEIMEvaluation&>(get_rb_evaluation());
eim_eval.set_parameters( get_parameters() );
// Compute truth representation via projection
const MeshBase& mesh = this->get_mesh();
UniquePtr<DGFEMContext> c = this->build_context();
DGFEMContext &context = cast_ref<DGFEMContext&>(*c);
this->init_context(context);
rhs->zero();
MeshBase::const_element_iterator el = mesh.active_local_elements_begin();
const MeshBase::const_element_iterator end_el = mesh.active_local_elements_end();
for ( ; el != end_el; ++el)
{
context.pre_fe_reinit(*this, *el);
context.elem_fe_reinit();
// All variables should have the same quadrature rule, hence
// we can get JxW and xyz based on first_elem_fe.
FEBase* first_elem_fe = NULL;
context.get_element_fe( 0, first_elem_fe );
unsigned int n_qpoints = context.get_element_qrule().n_points();
const std::vector<Real> &JxW = first_elem_fe->get_JxW();
const std::vector<Point> &xyz = first_elem_fe->get_xyz();
// Loop over qp before var because parametrized functions often use
// some caching based on qp.
for (unsigned int qp=0; qp<n_qpoints; qp++)
{
for (unsigned int var=0; var<n_vars(); var++)
{
FEBase* elem_fe = NULL;
context.get_element_fe( var, elem_fe );
const std::vector<std::vector<Real> >& phi = elem_fe->get_phi();
DenseSubVector<Number>& subresidual_var = context.get_elem_residual( var );
unsigned int n_var_dofs = cast_int<unsigned int>(context.get_dof_indices( var ).size());
Number eval_result = eim_eval.evaluate_parametrized_function(var, xyz[qp], *(*el));
for (unsigned int i=0; i != n_var_dofs; i++)
subresidual_var(i) += JxW[qp] * eval_result * phi[i][qp];
}
}
// Apply constraints, e.g. periodic constraints
this->get_dof_map().constrain_element_vector(context.get_elem_residual(), context.get_dof_indices() );
// Add element vector to global vector
rhs->add_vector(context.get_elem_residual(), context.get_dof_indices() );
}
// Solve to find the best fit, then solution stores the truth representation
// of the function to be approximated
solve_for_matrix_and_rhs(*inner_product_solver, *inner_product_matrix, *rhs);
if (assert_convergence)
check_convergence(*inner_product_solver);
}
if(plot_solution > 0)
{
#ifdef LIBMESH_HAVE_EXODUS_API
ExodusII_IO(get_mesh()).write_equation_systems ("truth.exo",
this->get_equation_systems());
#endif
}
STOP_LOG("truth_solve()", "RBEIMConstruction");
return 0.;
}