/
assembler_simple_mgmatrix_04.cc
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/
assembler_simple_mgmatrix_04.cc
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// ---------------------------------------------------------------------
//
// Copyright (C) 2012 - 2020 by the deal.II authors
//
// This file is part of the deal.II library.
//
// The deal.II library is free software; you can use it, redistribute
// it, and/or modify it under the terms of the GNU Lesser General
// Public License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
// The full text of the license can be found in the file LICENSE.md at
// the top level directory of deal.II.
//
// ---------------------------------------------------------------------
/**
* @file Test whether
*/
#include <deal.II/base/function.h>
#include <deal.II/base/function_lib.h>
#include <deal.II/dofs/dof_handler.h>
#include <deal.II/fe/fe_dgp.h>
#include <deal.II/fe/fe_q.h>
#include <deal.II/fe/fe_raviart_thomas.h>
#include <deal.II/fe/fe_system.h>
#include <deal.II/fe/mapping_q.h>
#include <deal.II/grid/grid_generator.h>
#include <deal.II/grid/tria.h>
#include <deal.II/integrators/laplace.h>
#include <deal.II/meshworker/dof_info.h>
#include <deal.II/meshworker/integration_info.h>
#include <deal.II/meshworker/local_integrator.h>
#include <deal.II/meshworker/loop.h>
#include <deal.II/meshworker/simple.h>
#include <deal.II/multigrid/sparse_matrix_collection.h>
#include "../tests.h"
using namespace LocalIntegrators;
template <int dim>
class LaplaceMatrix : public MeshWorker::LocalIntegrator<dim>
{
public:
LaplaceMatrix();
virtual void
cell(MeshWorker::DoFInfo<dim> & dinfo,
MeshWorker::IntegrationInfo<dim> &info) const;
virtual void
boundary(MeshWorker::DoFInfo<dim> & dinfo,
MeshWorker::IntegrationInfo<dim> &info) const;
virtual void
face(MeshWorker::DoFInfo<dim> & dinfo1,
MeshWorker::DoFInfo<dim> & dinfo2,
MeshWorker::IntegrationInfo<dim> &info1,
MeshWorker::IntegrationInfo<dim> &info2) const;
};
template <int dim>
LaplaceMatrix<dim>::LaplaceMatrix()
{}
template <int dim>
void
LaplaceMatrix<dim>::cell(MeshWorker::DoFInfo<dim> & dinfo,
MeshWorker::IntegrationInfo<dim> &info) const
{
Laplace::cell_matrix(dinfo.matrix(0, false).matrix, info.fe_values(0));
}
template <int dim>
void
LaplaceMatrix<dim>::boundary(
MeshWorker::DoFInfo<dim> & dinfo,
typename MeshWorker::IntegrationInfo<dim> &info) const
{
const unsigned int deg = info.fe_values(0).get_fe().tensor_degree();
Laplace::nitsche_matrix(dinfo.matrix(0, false).matrix,
info.fe_values(0),
Laplace::compute_penalty(dinfo, dinfo, deg, deg));
}
template <int dim>
void
LaplaceMatrix<dim>::face(MeshWorker::DoFInfo<dim> & dinfo1,
MeshWorker::DoFInfo<dim> & dinfo2,
MeshWorker::IntegrationInfo<dim> &info1,
MeshWorker::IntegrationInfo<dim> &info2) const
{
if (info1.fe_values(0).get_fe().conforms(FiniteElementData<dim>::H1))
return;
const unsigned int deg = info1.fe_values(0).get_fe().tensor_degree();
if (info1.fe_values(0).get_fe().conforms(FiniteElementData<dim>::Hdiv) &&
!info1.fe_values(0).get_fe().conforms(FiniteElementData<dim>::Hcurl))
Laplace::ip_tangential_matrix(
dinfo1.matrix(0, false).matrix,
dinfo1.matrix(0, true).matrix,
dinfo2.matrix(0, true).matrix,
dinfo2.matrix(0, false).matrix,
info1.fe_values(0),
info2.fe_values(0),
Laplace::compute_penalty(dinfo1, dinfo2, deg, deg));
else
Laplace::ip_matrix(dinfo1.matrix(0, false).matrix,
dinfo1.matrix(0, true).matrix,
dinfo2.matrix(0, true).matrix,
dinfo2.matrix(0, false).matrix,
info1.fe_values(0),
info2.fe_values(0),
Laplace::compute_penalty(dinfo1, dinfo2, deg, deg));
}
template <int dim>
void
assemble_mg_matrix(DoFHandler<dim> & dof_handler,
MeshWorker::LocalIntegrator<dim> & matrix_integrator,
mg::SparseMatrixCollection<double> &mg)
{
MGConstrainedDoFs mg_constraints;
mg_constraints.clear();
mg_constraints.initialize(dof_handler);
mg.set_zero();
MappingQ<dim> mapping(1);
MeshWorker::IntegrationInfoBox<dim> info_box;
UpdateFlags update_flags = update_values | update_gradients | update_hessians;
info_box.add_update_flags_all(update_flags);
info_box.initialize(dof_handler.get_fe(), mapping, &dof_handler.block_info());
MeshWorker::DoFInfo<dim> dof_info(dof_handler.block_info());
MeshWorker::Assembler::MGMatrixSimple<SparseMatrix<double>> assembler;
assembler.initialize(mg_constraints);
assembler.initialize(mg.matrix);
assembler.initialize_interfaces(mg.matrix_in, mg.matrix_out);
assembler.initialize_fluxes(mg.matrix_up, mg.matrix_down);
MeshWorker::integration_loop<dim, dim>(dof_handler.begin_mg(),
dof_handler.end_mg(),
dof_info,
info_box,
matrix_integrator,
assembler);
const unsigned int nlevels = dof_handler.get_triangulation().n_levels();
for (unsigned int level = 0; level < nlevels; ++level)
{
for (unsigned int i = 0; i < dof_handler.n_dofs(level); ++i)
if (mg.matrix[level].diag_element(i) == 0)
mg.matrix[level].set(i, i, 1.);
}
}
template <int dim>
void
test(FiniteElement<dim> &fe)
{
deallog << fe.get_name() << std::endl;
Triangulation<dim> tr(Triangulation<dim>::limit_level_difference_at_vertices);
std::vector<unsigned int> repititions(dim, 1);
repititions[0] = 2;
const Point<dim> p1 =
(dim == 1 ? Point<dim>(-1.) :
(dim == 2 ? Point<dim>(-1., -1.) : Point<dim>(-1., -1., -1.)));
const Point<dim> p2 =
(dim == 1 ? Point<dim>(1.) :
(dim == 2 ? Point<dim>(1., 1.) : Point<dim>(1., 1., 1.)));
GridGenerator::subdivided_hyper_rectangle(tr, repititions, p1, p2);
tr.begin_active()->set_refine_flag();
tr.execute_coarsening_and_refinement();
LaplaceMatrix<dim> matrix_integrator;
DoFHandler<dim> dof(tr);
dof.distribute_dofs(fe);
dof.distribute_mg_dofs();
dof.initialize_local_block_info();
mg::SparseMatrixCollection<double> mg;
mg.resize(0, tr.n_levels() - 1);
mg.reinit(dof);
assemble_mg_matrix(dof, matrix_integrator, mg);
for (unsigned int level = 0; level < tr.n_levels(); ++level)
{
const unsigned int prec = 3;
const unsigned int wd = 2;
deallog << "Level " << level << std::endl << "mg" << std::endl;
mg.matrix[level].print_formatted(
deallog.get_file_stream(), prec, false, wd, "0.");
if (level > 0)
{
deallog << "in" << std::endl;
mg.matrix_in[level].print_formatted(
deallog.get_file_stream(), prec, false, wd, "0.");
deallog << "out" << std::endl;
mg.matrix_out[level].print_formatted(
deallog.get_file_stream(), prec, false, wd, "0.");
deallog << "up" << std::endl;
mg.matrix_up[level].print_formatted(
deallog.get_file_stream(), prec, false, wd, "0.");
deallog << "down" << std::endl;
mg.matrix_down[level].print_formatted(
deallog.get_file_stream(), prec, false, wd, "0.");
}
}
}
int
main()
{
const std::string logname("output");
std::ofstream logfile(logname.c_str());
deallog.attach(logfile);
FE_DGP<2> p0(0);
FE_DGP<2> p1(1);
FE_RaviartThomas<2> rt0(0);
FE_RaviartThomas<2> rt1(1);
FE_Q<2> q2(2);
FESystem<2> sys1(p0, 2, p0, 1);
FESystem<2> sys2(rt0, 1, p0, 1);
FESystem<2> sys3(rt1, 1, p1, 1);
FESystem<2> sys4(q2, 1, p0, 1);
test(sys1);
test(sys2);
test(sys3);
test(sys4);
}