--- /dev/null
+/* Author: Guido Kanschat, Texas A&M University, 2009 */
+
+/* $Id: step-39.cc 28552 2013-02-25 15:18:15Z kanschat $ */
+/* */
+/* Copyright (C) 2010-2013 by the deal.II authors */
+/* */
+/* This file is subject to QPL and may not be distributed */
+/* without copyright and license information. Please refer */
+/* to the file deal.II/doc/license.html for the text and */
+/* further information on this license. */
+
+#include "../tests.h"
+#include <deal.II/lac/sparse_matrix.h>
+#include <deal.II/lac/compressed_sparsity_pattern.h>
+#include <deal.II/lac/solver_cg.h>
+#include <deal.II/lac/precondition.h>
+#include <deal.II/lac/precondition_block.h>
+#include <deal.II/lac/block_vector.h>
+#include <deal.II/lac/trilinos_sparse_matrix.h>
+#include <deal.II/lac/trilinos_precondition.h>
+
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/grid_refinement.h>
+#include <deal.II/grid/filtered_iterator.h>
+
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_dgp.h>
+#include <deal.II/fe/fe_dgq.h>
+#include <deal.II/dofs/dof_tools.h>
+#include <deal.II/multigrid/mg_dof_handler.h>
+
+#include <deal.II/meshworker/dof_info.h>
+#include <deal.II/meshworker/integration_info.h>
+#include <deal.II/meshworker/assembler.h>
+#include <deal.II/meshworker/loop.h>
+
+#include <deal.II/integrators/laplace.h>
+
+#include <deal.II/multigrid/mg_tools.h>
+#include <deal.II/multigrid/multigrid.h>
+#include <deal.II/multigrid/mg_matrix.h>
+#include <deal.II/multigrid/mg_transfer.h>
+#include <deal.II/multigrid/mg_coarse.h>
+#include <deal.II/multigrid/mg_smoother.h>
+
+#include <deal.II/base/function_lib.h>
+#include <deal.II/base/quadrature_lib.h>
+#include <deal.II/numerics/vector_tools.h>
+#include <deal.II/numerics/data_out.h>
+
+#include <iostream>
+#include <fstream>
+
+namespace Step39
+{
+ using namespace dealii;
+
+ Functions::SlitSingularityFunction<2> exact_solution;
+
+
+
+
+ template <int dim>
+ class MatrixIntegrator : public MeshWorker::LocalIntegrator<dim>
+ {
+ public:
+ void cell(MeshWorker::DoFInfo<dim> &dinfo,
+ typename MeshWorker::IntegrationInfo<dim> &info) const;
+ void boundary(MeshWorker::DoFInfo<dim> &dinfo,
+ typename MeshWorker::IntegrationInfo<dim> &info) const;
+ void face(MeshWorker::DoFInfo<dim> &dinfo1,
+ MeshWorker::DoFInfo<dim> &dinfo2,
+ typename MeshWorker::IntegrationInfo<dim> &info1,
+ typename MeshWorker::IntegrationInfo<dim> &info2) const;
+ };
+
+
+ template <int dim>
+ void MatrixIntegrator<dim>::cell(
+ MeshWorker::DoFInfo<dim> &dinfo,
+ typename MeshWorker::IntegrationInfo<dim> &info) const
+ {
+ LocalIntegrators::Laplace::cell_matrix(dinfo.matrix(0,false).matrix, info.fe_values());
+ }
+
+
+ template <int dim>
+ void MatrixIntegrator<dim>::boundary(
+ MeshWorker::DoFInfo<dim> &dinfo,
+ typename MeshWorker::IntegrationInfo<dim> &info) const
+ {
+ const unsigned int deg = info.fe_values(0).get_fe().tensor_degree();
+ LocalIntegrators::Laplace::nitsche_matrix(
+ dinfo.matrix(0,false).matrix, info.fe_values(0),
+ LocalIntegrators::Laplace::compute_penalty(dinfo, dinfo, deg, deg));
+ }
+
+ template <int dim>
+ void MatrixIntegrator<dim>::face(
+ MeshWorker::DoFInfo<dim> &dinfo1,
+ MeshWorker::DoFInfo<dim> &dinfo2,
+ typename MeshWorker::IntegrationInfo<dim> &info1,
+ typename MeshWorker::IntegrationInfo<dim> &info2) const
+ {
+ const unsigned int deg = info1.fe_values(0).get_fe().tensor_degree();
+ LocalIntegrators::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),
+ LocalIntegrators::Laplace::compute_penalty(dinfo1, dinfo2, deg, deg));
+ }
+
+ template <int dim>
+ class RHSIntegrator : public MeshWorker::LocalIntegrator<dim>
+ {
+ public:
+ void cell(MeshWorker::DoFInfo<dim> &dinfo, typename MeshWorker::IntegrationInfo<dim> &info) const;
+ void boundary(MeshWorker::DoFInfo<dim> &dinfo, typename MeshWorker::IntegrationInfo<dim> &info) const;
+ void face(MeshWorker::DoFInfo<dim> &dinfo1,
+ MeshWorker::DoFInfo<dim> &dinfo2,
+ typename MeshWorker::IntegrationInfo<dim> &info1,
+ typename MeshWorker::IntegrationInfo<dim> &info2) const;
+ };
+
+
+ template <int dim>
+ void RHSIntegrator<dim>::cell(MeshWorker::DoFInfo<dim> &, typename MeshWorker::IntegrationInfo<dim> &) const
+ {}
+
+
+ template <int dim>
+ void RHSIntegrator<dim>::boundary(MeshWorker::DoFInfo<dim> &dinfo, typename MeshWorker::IntegrationInfo<dim> &info) const
+ {
+ const FEValuesBase<dim> &fe = info.fe_values();
+ Vector<double> &local_vector = dinfo.vector(0).block(0);
+
+ std::vector<double> boundary_values(fe.n_quadrature_points);
+ exact_solution.value_list(fe.get_quadrature_points(), boundary_values);
+
+ const unsigned int deg = fe.get_fe().tensor_degree();
+ const double penalty = 2. * deg * (deg+1) * dinfo.face->measure() / dinfo.cell->measure();
+
+ for (unsigned k=0; k<fe.n_quadrature_points; ++k)
+ for (unsigned int i=0; i<fe.dofs_per_cell; ++i)
+ local_vector(i) += (- fe.shape_value(i,k) * penalty * boundary_values[k]
+ + (fe.normal_vector(k) * fe.shape_grad(i,k)) * boundary_values[k])
+ * fe.JxW(k);
+ }
+
+
+ template <int dim>
+ void RHSIntegrator<dim>::face(MeshWorker::DoFInfo<dim> &,
+ MeshWorker::DoFInfo<dim> &,
+ typename MeshWorker::IntegrationInfo<dim> &,
+ typename MeshWorker::IntegrationInfo<dim> &) const
+ {}
+
+
+ template <int dim>
+ class Estimator : public MeshWorker::LocalIntegrator<dim>
+ {
+ public:
+ void cell(MeshWorker::DoFInfo<dim> &dinfo, typename MeshWorker::IntegrationInfo<dim> &info) const;
+ void boundary(MeshWorker::DoFInfo<dim> &dinfo, typename MeshWorker::IntegrationInfo<dim> &info) const;
+ void face(MeshWorker::DoFInfo<dim> &dinfo1,
+ MeshWorker::DoFInfo<dim> &dinfo2,
+ typename MeshWorker::IntegrationInfo<dim> &info1,
+ typename MeshWorker::IntegrationInfo<dim> &info2) const;
+ };
+
+
+ template <int dim>
+ void Estimator<dim>::cell(MeshWorker::DoFInfo<dim> &dinfo, typename MeshWorker::IntegrationInfo<dim> &info) const
+ {
+ const FEValuesBase<dim> &fe = info.fe_values();
+
+ const std::vector<Tensor<2,dim> > &DDuh = info.hessians[0][0];
+ for (unsigned k=0; k<fe.n_quadrature_points; ++k)
+ {
+ const double t = dinfo.cell->diameter() * trace(DDuh[k]);
+ dinfo.value(0) += t*t * fe.JxW(k);
+ }
+ dinfo.value(0) = std::sqrt(dinfo.value(0));
+ }
+
+ template <int dim>
+ void Estimator<dim>::boundary(MeshWorker::DoFInfo<dim> &dinfo, typename MeshWorker::IntegrationInfo<dim> &info) const
+ {
+ const FEValuesBase<dim> &fe = info.fe_values();
+
+ std::vector<double> boundary_values(fe.n_quadrature_points);
+ exact_solution.value_list(fe.get_quadrature_points(), boundary_values);
+
+ const std::vector<double> &uh = info.values[0][0];
+
+ const unsigned int deg = fe.get_fe().tensor_degree();
+ const double penalty = 2. * deg * (deg+1) * dinfo.face->measure() / dinfo.cell->measure();
+
+ for (unsigned k=0; k<fe.n_quadrature_points; ++k)
+ dinfo.value(0) += penalty * (boundary_values[k] - uh[k]) * (boundary_values[k] - uh[k])
+ * fe.JxW(k);
+ dinfo.value(0) = std::sqrt(dinfo.value(0));
+ }
+
+
+ template <int dim>
+ void Estimator<dim>::face(MeshWorker::DoFInfo<dim> &dinfo1,
+ MeshWorker::DoFInfo<dim> &dinfo2,
+ typename MeshWorker::IntegrationInfo<dim> &info1,
+ typename MeshWorker::IntegrationInfo<dim> &info2) const
+ {
+ const FEValuesBase<dim> &fe = info1.fe_values();
+ const std::vector<double> &uh1 = info1.values[0][0];
+ const std::vector<double> &uh2 = info2.values[0][0];
+ const std::vector<Tensor<1,dim> > &Duh1 = info1.gradients[0][0];
+ const std::vector<Tensor<1,dim> > &Duh2 = info2.gradients[0][0];
+
+ const unsigned int deg = fe.get_fe().tensor_degree();
+ const double penalty1 = deg * (deg+1) * dinfo1.face->measure() / dinfo1.cell->measure();
+ const double penalty2 = deg * (deg+1) * dinfo2.face->measure() / dinfo2.cell->measure();
+ const double penalty = penalty1 + penalty2;
+ const double h = dinfo1.face->measure();
+
+ for (unsigned k=0; k<fe.n_quadrature_points; ++k)
+ {
+ double diff1 = uh1[k] - uh2[k];
+ double diff2 = fe.normal_vector(k) * Duh1[k] - fe.normal_vector(k) * Duh2[k];
+ dinfo1.value(0) += (penalty * diff1*diff1 + h * diff2*diff2)
+ * fe.JxW(k);
+ }
+ dinfo1.value(0) = std::sqrt(dinfo1.value(0));
+ dinfo2.value(0) = dinfo1.value(0);
+ }
+
+
+
+ template <int dim>
+ class ErrorIntegrator : public MeshWorker::LocalIntegrator<dim>
+ {
+ public:
+ void cell(MeshWorker::DoFInfo<dim> &dinfo, typename MeshWorker::IntegrationInfo<dim> &info) const;
+ void boundary(MeshWorker::DoFInfo<dim> &dinfo, typename MeshWorker::IntegrationInfo<dim> &info) const;
+ void face(MeshWorker::DoFInfo<dim> &dinfo1,
+ MeshWorker::DoFInfo<dim> &dinfo2,
+ typename MeshWorker::IntegrationInfo<dim> &info1,
+ typename MeshWorker::IntegrationInfo<dim> &info2) const;
+ };
+
+
+ template <int dim>
+ void ErrorIntegrator<dim>::cell(
+ MeshWorker::DoFInfo<dim> &dinfo,
+ typename MeshWorker::IntegrationInfo<dim> &info) const
+ {
+ const FEValuesBase<dim> &fe = info.fe_values();
+ std::vector<Tensor<1,dim> > exact_gradients(fe.n_quadrature_points);
+ std::vector<double> exact_values(fe.n_quadrature_points);
+
+ exact_solution.gradient_list(fe.get_quadrature_points(), exact_gradients);
+ exact_solution.value_list(fe.get_quadrature_points(), exact_values);
+
+ const std::vector<Tensor<1,dim> > &Duh = info.gradients[0][0];
+ const std::vector<double> &uh = info.values[0][0];
+
+ for (unsigned k=0; k<fe.n_quadrature_points; ++k)
+ {
+ double sum = 0;
+ for (unsigned int d=0; d<dim; ++d)
+ {
+ const double diff = exact_gradients[k][d] - Duh[k][d];
+ sum += diff*diff;
+ }
+ const double diff = exact_values[k] - uh[k];
+ dinfo.value(0) += sum * fe.JxW(k);
+ dinfo.value(1) += diff*diff * fe.JxW(k);
+ }
+ dinfo.value(0) = std::sqrt(dinfo.value(0));
+ dinfo.value(1) = std::sqrt(dinfo.value(1));
+ }
+
+
+ template <int dim>
+ void ErrorIntegrator<dim>::boundary(
+ MeshWorker::DoFInfo<dim> &dinfo,
+ typename MeshWorker::IntegrationInfo<dim> &info) const
+ {
+ const FEValuesBase<dim> &fe = info.fe_values();
+
+ std::vector<double> exact_values(fe.n_quadrature_points);
+ exact_solution.value_list(fe.get_quadrature_points(), exact_values);
+
+ const std::vector<double> &uh = info.values[0][0];
+
+ const unsigned int deg = fe.get_fe().tensor_degree();
+ const double penalty = 2. * deg * (deg+1) * dinfo.face->measure() / dinfo.cell->measure();
+
+ for (unsigned k=0; k<fe.n_quadrature_points; ++k)
+ {
+ const double diff = exact_values[k] - uh[k];
+ dinfo.value(0) += penalty * diff * diff * fe.JxW(k);
+ }
+ dinfo.value(0) = std::sqrt(dinfo.value(0));
+ }
+
+
+ template <int dim>
+ void ErrorIntegrator<dim>::face(
+ MeshWorker::DoFInfo<dim> &dinfo1,
+ MeshWorker::DoFInfo<dim> &dinfo2,
+ typename MeshWorker::IntegrationInfo<dim> &info1,
+ typename MeshWorker::IntegrationInfo<dim> &info2) const
+ {
+ const FEValuesBase<dim> &fe = info1.fe_values();
+ const std::vector<double> &uh1 = info1.values[0][0];
+ const std::vector<double> &uh2 = info2.values[0][0];
+
+ const unsigned int deg = fe.get_fe().tensor_degree();
+ const double penalty1 = deg * (deg+1) * dinfo1.face->measure() / dinfo1.cell->measure();
+ const double penalty2 = deg * (deg+1) * dinfo2.face->measure() / dinfo2.cell->measure();
+ const double penalty = penalty1 + penalty2;
+
+ for (unsigned k=0; k<fe.n_quadrature_points; ++k)
+ {
+ double diff = uh1[k] - uh2[k];
+ dinfo1.value(0) += (penalty * diff*diff)
+ * fe.JxW(k);
+ }
+ dinfo1.value(0) = std::sqrt(dinfo1.value(0));
+ dinfo2.value(0) = dinfo1.value(0);
+ }
+
+
+
+
+ template <int dim>
+ class InteriorPenaltyProblem
+ {
+ public:
+ typedef MeshWorker::IntegrationInfo<dim> CellInfo;
+
+ InteriorPenaltyProblem(const FiniteElement<dim> &fe);
+
+ void run(unsigned int n_steps);
+
+ private:
+ void setup_system ();
+ void assemble_matrix ();
+ void assemble_mg_matrix ();
+ void assemble_right_hand_side ();
+ void error ();
+ double estimate ();
+ void solve ();
+ void output_results (const unsigned int cycle) const;
+
+ parallel::distributed::Triangulation<dim> triangulation;
+ const MappingQ1<dim> mapping;
+ const FiniteElement<dim> &fe;
+ DoFHandler<dim> dof_handler;
+
+ IndexSet locally_relevant_set;
+
+ TrilinosWrappers::SparseMatrix matrix;
+ TrilinosWrappers::MPI::Vector solution;
+ TrilinosWrappers::MPI::Vector right_hand_side;
+ BlockVector<double> estimates;
+
+ MGLevelObject<TrilinosWrappers::SparseMatrix> mg_matrix;
+
+ MGLevelObject<TrilinosWrappers::SparseMatrix> mg_matrix_dg_down;
+ MGLevelObject<TrilinosWrappers::SparseMatrix> mg_matrix_dg_up;
+ };
+
+
+ template <int dim>
+ InteriorPenaltyProblem<dim>::InteriorPenaltyProblem(const FiniteElement<dim> &fe)
+ :
+ triangulation (MPI_COMM_WORLD,Triangulation<dim>::
+ limit_level_difference_at_vertices,
+ parallel::distributed::Triangulation<dim>::construct_multigrid_hierarchy),
+ mapping(),
+ fe(fe),
+ dof_handler(triangulation),
+ estimates(1)
+ {
+ GridGenerator::hyper_cube_slit(triangulation, -1, 1);
+ }
+
+
+ template <int dim>
+ void
+ InteriorPenaltyProblem<dim>::setup_system()
+ {
+ dof_handler.distribute_dofs(fe);
+ dof_handler.distribute_mg_dofs (fe);
+
+ DoFTools::extract_locally_relevant_dofs (dof_handler, locally_relevant_set);
+ solution.reinit(dof_handler.locally_owned_dofs(), MPI_COMM_WORLD);
+ right_hand_side.reinit(dof_handler.locally_owned_dofs(), MPI_COMM_WORLD);
+
+ CompressedSimpleSparsityPattern c_sparsity(dof_handler.n_dofs(), dof_handler.n_dofs());
+ DoFTools::make_flux_sparsity_pattern(dof_handler, c_sparsity);
+ matrix.reinit(dof_handler.locally_owned_dofs(), c_sparsity, MPI_COMM_WORLD, true);
+
+ const unsigned int n_levels = triangulation.n_global_levels();
+ mg_matrix.resize(0, n_levels-1);
+ mg_matrix.clear();
+ mg_matrix_dg_up.resize(0, n_levels-1);
+ mg_matrix_dg_up.clear();
+ mg_matrix_dg_down.resize(0, n_levels-1);
+ mg_matrix_dg_down.clear();
+
+ for (unsigned int level=mg_matrix.min_level();
+ level<=mg_matrix.max_level(); ++level)
+ {
+ CompressedSimpleSparsityPattern c_sparsity(dof_handler.n_dofs(level));
+ MGTools::make_flux_sparsity_pattern(dof_handler, c_sparsity, level);
+ mg_matrix[level].reinit(dof_handler.locally_owned_mg_dofs(level),
+ dof_handler.locally_owned_mg_dofs(level),
+ c_sparsity,
+ MPI_COMM_WORLD, true);
+
+ if (level>0)
+ {
+ CompressedSimpleSparsityPattern ci_sparsity;
+ ci_sparsity.reinit(dof_handler.n_dofs(level-1), dof_handler.n_dofs(level));
+ MGTools::make_flux_sparsity_pattern_edge(dof_handler, ci_sparsity, level);
+
+ mg_matrix_dg_up[level].reinit(dof_handler.locally_owned_mg_dofs(level-1),
+ dof_handler.locally_owned_mg_dofs(level),
+ ci_sparsity,
+ MPI_COMM_WORLD, true);
+ mg_matrix_dg_down[level].reinit(dof_handler.locally_owned_mg_dofs(level-1),
+ dof_handler.locally_owned_mg_dofs(level),
+ ci_sparsity,
+ MPI_COMM_WORLD, true);
+ }
+ }
+ }
+
+
+ template <int dim>
+ void
+ InteriorPenaltyProblem<dim>::assemble_matrix()
+ {
+ MeshWorker::IntegrationInfoBox<dim> info_box;
+ UpdateFlags update_flags = update_values | update_gradients;
+ info_box.add_update_flags_all(update_flags);
+ info_box.initialize(fe, mapping);
+
+ MeshWorker::DoFInfo<dim> dof_info(dof_handler);
+
+ MeshWorker::Assembler::MatrixSimple<TrilinosWrappers::SparseMatrix> assembler;
+ assembler.initialize(matrix);
+
+ FilteredIterator<typename DoFHandler<dim>::active_cell_iterator>
+ begin(IteratorFilters::LocallyOwnedCell(), dof_handler.begin_active());
+ FilteredIterator<typename DoFHandler<dim>::active_cell_iterator>
+ end(IteratorFilters::LocallyOwnedCell(), dof_handler.end());
+
+ MatrixIntegrator<dim> integrator;
+ MeshWorker::integration_loop<dim, dim>(
+ begin, end,
+ dof_info, info_box,
+ integrator, assembler);
+ }
+
+
+ template <int dim>
+ void
+ InteriorPenaltyProblem<dim>::assemble_mg_matrix()
+ {
+ MeshWorker::IntegrationInfoBox<dim> info_box;
+ UpdateFlags update_flags = update_values | update_gradients;
+ info_box.add_update_flags_all(update_flags);
+ info_box.initialize(fe, mapping);
+
+ MeshWorker::DoFInfo<dim> dof_info(dof_handler);
+
+ MeshWorker::Assembler::MGMatrixSimple<TrilinosWrappers::SparseMatrix> assembler;
+ assembler.initialize(mg_matrix);
+ assembler.initialize_fluxes(mg_matrix_dg_up, mg_matrix_dg_down);
+
+ FilteredIterator<typename DoFHandler<dim>::level_cell_iterator>
+ begin(IteratorFilters::LocallyOwnedLevelCell(), dof_handler.begin());
+ FilteredIterator<typename DoFHandler<dim>::level_cell_iterator>
+ end(IteratorFilters::LocallyOwnedLevelCell(), dof_handler.end());
+
+ MatrixIntegrator<dim> integrator;
+ MeshWorker::integration_loop<dim, dim> (
+ begin, end,
+ dof_info, info_box,
+ integrator, assembler);
+ }
+
+
+ template <int dim>
+ void
+ InteriorPenaltyProblem<dim>::assemble_right_hand_side()
+ {
+ MeshWorker::IntegrationInfoBox<dim> info_box;
+ UpdateFlags update_flags = update_quadrature_points | update_values | update_gradients;
+ info_box.add_update_flags_all(update_flags);
+ info_box.initialize(fe, mapping);
+
+ MeshWorker::DoFInfo<dim> dof_info(dof_handler);
+
+ MeshWorker::Assembler::ResidualSimple<TrilinosWrappers::MPI::Vector> assembler;
+ NamedData<TrilinosWrappers::MPI::Vector*> data;
+ TrilinosWrappers::MPI::Vector *rhs = &right_hand_side;
+ data.add(rhs, "RHS");
+ assembler.initialize(data);
+
+ FilteredIterator<typename DoFHandler<dim>::active_cell_iterator>
+ begin(IteratorFilters::LocallyOwnedCell(), dof_handler.begin_active());
+ FilteredIterator<typename DoFHandler<dim>::active_cell_iterator>
+ end(IteratorFilters::LocallyOwnedCell(), dof_handler.end());
+
+
+ RHSIntegrator<dim> integrator;
+ MeshWorker::integration_loop<dim, dim>(begin, end,
+ dof_info, info_box,
+ integrator, assembler);
+
+ right_hand_side *= -1.;
+ }
+
+
+ template <int dim>
+ void
+ InteriorPenaltyProblem<dim>::solve()
+ {
+ SolverControl control(1000, 1.e-12);
+ SolverCG<TrilinosWrappers::MPI::Vector > solver(control);
+
+ MGTransferPrebuilt<TrilinosWrappers::MPI::Vector > mg_transfer;
+ mg_transfer.build_matrices(dof_handler);
+
+ SolverControl coarse_solver_control (1000, 1e-10, false, false);
+ SolverCG<TrilinosWrappers::MPI::Vector> coarse_solver(coarse_solver_control);
+ PreconditionIdentity identity;
+ TrilinosWrappers::SparseMatrix coarse_matrix = mg_matrix[0];
+ MGCoarseGridLACIteration<SolverCG<TrilinosWrappers::MPI::Vector>,TrilinosWrappers::MPI::Vector>
+ coarse_grid_solver(coarse_solver, coarse_matrix, identity);
+
+ typedef TrilinosWrappers::PreconditionJacobi Smoother;
+ MGSmootherPrecondition<TrilinosWrappers::SparseMatrix, Smoother, TrilinosWrappers::MPI::Vector> mg_smoother;
+ mg_smoother.initialize(mg_matrix, .7);
+ mg_smoother.set_steps(2);
+
+ MGMatrix<TrilinosWrappers::SparseMatrix, TrilinosWrappers::MPI::Vector> mgmatrix(&mg_matrix);
+ MGMatrix<TrilinosWrappers::SparseMatrix, TrilinosWrappers::MPI::Vector> mgdown(&mg_matrix_dg_down);
+ MGMatrix<TrilinosWrappers::SparseMatrix, TrilinosWrappers::MPI::Vector> mgup(&mg_matrix_dg_up);
+
+ Multigrid<TrilinosWrappers::MPI::Vector > mg(dof_handler, mgmatrix,
+ coarse_grid_solver, mg_transfer,
+ mg_smoother, mg_smoother);
+ mg.set_edge_flux_matrices(mgdown, mgup);
+
+ PreconditionMG<dim, TrilinosWrappers::MPI::Vector,
+ MGTransferPrebuilt<TrilinosWrappers::MPI::Vector > >
+ preconditioner(dof_handler, mg, mg_transfer);
+ solver.solve(matrix, solution, right_hand_side, preconditioner);
+ }
+
+
+ // template <int dim>
+ // double
+ // InteriorPenaltyProblem<dim>::estimate()
+ // {
+ // std::vector<unsigned int> old_user_indices;
+ // triangulation.save_user_indices(old_user_indices);
+
+ // estimates.block(0).reinit(triangulation.n_active_cells());
+ // unsigned int i=0;
+ // for (typename Triangulation<dim>::active_cell_iterator cell = triangulation.begin_active();
+ // cell != triangulation.end(); ++cell,++i)
+ // cell->set_user_index(i);
+
+ // MeshWorker::IntegrationInfoBox<dim> info_box;
+ // const unsigned int n_gauss_points = dof_handler.get_fe().tensor_degree()+1;
+ // info_box.initialize_gauss_quadrature(n_gauss_points, n_gauss_points+1, n_gauss_points);
+
+ // NamedData<TrilinosWrappers::MPI::Vector* > solution_data;
+ // solution_data.add(&solution, "solution");
+
+ // info_box.cell_selector.add("solution", false, false, true);
+ // info_box.boundary_selector.add("solution", true, true, false);
+ // info_box.face_selector.add("solution", true, true, false);
+
+ // info_box.add_update_flags_boundary(update_quadrature_points);
+ // info_box.initialize(fe, mapping, solution_data);
+
+ // MeshWorker::DoFInfo<dim> dof_info(dof_handler);
+
+ // MeshWorker::Assembler::CellsAndFaces<double> assembler;
+ // NamedData<BlockTrilinosWrappers::MPI::Vector* > out_data;
+ // BlockTrilinosWrappers::MPI::Vector *est = &estimates;
+ // out_data.add(est, "cells");
+ // assembler.initialize(out_data, false);
+
+ // Estimator<dim> integrator;
+ // MeshWorker::integration_loop<dim, dim> (
+ // dof_handler.begin_active(), dof_handler.end(),
+ // dof_info, info_box,
+ // integrator, assembler);
+
+ // triangulation.load_user_indices(old_user_indices);
+ // return estimates.block(0).l2_norm();
+ // }
+
+
+ // template <int dim>
+ // void
+ // InteriorPenaltyProblem<dim>::error()
+ // {
+ // BlockVector<double> errors(2);
+ // errors.block(0).reinit(triangulation.n_active_cells());
+ // errors.block(1).reinit(triangulation.n_active_cells());
+ // unsigned int i=0;
+ // for (typename Triangulation<dim>::active_cell_iterator cell = triangulation.begin_active();
+ // cell != triangulation.end(); ++cell,++i)
+ // cell->set_user_index(i);
+
+ // MeshWorker::IntegrationInfoBox<dim> info_box;
+ // const unsigned int n_gauss_points = dof_handler.get_fe().tensor_degree()+1;
+ // info_box.initialize_gauss_quadrature(n_gauss_points, n_gauss_points+1, n_gauss_points);
+
+ // NamedData<TrilinosWrappers::MPI::Vector* > solution_data;
+ // solution_data.add(&solution, "solution");
+
+ // info_box.cell_selector.add("solution", true, true, false);
+ // info_box.boundary_selector.add("solution", true, false, false);
+ // info_box.face_selector.add("solution", true, false, false);
+
+ // info_box.add_update_flags_cell(update_quadrature_points);
+ // info_box.add_update_flags_boundary(update_quadrature_points);
+ // info_box.initialize(fe, mapping, solution_data);
+
+ // MeshWorker::DoFInfo<dim> dof_info(dof_handler);
+
+ // MeshWorker::Assembler::CellsAndFaces<double> assembler;
+ // NamedData<BlockVector<double>* > out_data;
+ // BlockVector<double> *est = &errors;
+ // out_data.add(est, "cells");
+ // assembler.initialize(out_data, false);
+
+ // ErrorIntegrator<dim> integrator;
+ // MeshWorker::integration_loop<dim, dim> (
+ // dof_handler.begin_active(), dof_handler.end(),
+ // dof_info, info_box,
+ // integrator, assembler);
+
+ // deallog << "energy-error: " << errors.block(0).l2_norm() << std::endl;
+ // deallog << "L2-error: " << errors.block(1).l2_norm() << std::endl;
+ // }
+
+
+ // template <int dim>
+ // void InteriorPenaltyProblem<dim>::output_results (const unsigned int cycle) const
+ // {
+ // char *fn = new char[100];
+ // sprintf(fn, "step-39/sol-%02d", cycle);
+
+ // std::string filename(fn);
+ // filename += ".gnuplot";
+ // deallog << "Writing solution to <" << filename << ">..."
+ // << std::endl << std::endl;
+ // std::ofstream gnuplot_output (filename.c_str());
+
+ // DataOut<dim> data_out;
+ // data_out.attach_dof_handler (dof_handler);
+ // data_out.add_data_vector (solution, "u");
+ // data_out.add_data_vector (estimates.block(0), "est");
+
+ // data_out.build_patches ();
+
+ // data_out.write_gnuplot(gnuplot_output);
+ // }
+
+ template <int dim>
+ void
+ InteriorPenaltyProblem<dim>::run(unsigned int n_steps)
+ {
+ deallog << "Element: " << fe.get_name() << std::endl;
+ for (unsigned int s=0; s<n_steps; ++s)
+ {
+ deallog << "Step " << s << std::endl;
+ //if (estimates.block(0).size() == 0)
+ triangulation.refine_global(1);
+ //else
+ //{
+ // GridRefinement::refine_and_coarsen_fixed_fraction (triangulation,
+ // estimates.block(0),
+ // 0.5, 0.0);
+ //triangulation.execute_coarsening_and_refinement ();
+ //}
+
+ deallog << "Triangulation "
+ << triangulation.n_active_cells() << " cells, "
+ << triangulation.n_levels() << " levels" << std::endl;
+
+ setup_system();
+ deallog << "DoFHandler " << dof_handler.n_dofs() << " dofs, level dofs";
+ for (unsigned int l=0; l<triangulation.n_levels(); ++l)
+ deallog << ' ' << dof_handler.n_dofs(l);
+ deallog << std::endl;
+
+ deallog << "Assemble matrix" << std::endl;
+ assemble_matrix();
+ deallog << "Assemble multilevel matrix" << std::endl;
+ assemble_mg_matrix();
+ deallog << "Assemble right hand side" << std::endl;
+ assemble_right_hand_side();
+ deallog << "Solve" << std::endl;
+ solve();
+ //error();
+ //deallog << "Estimate " << estimate() << std::endl;
+ //output_results(s);
+ }
+ }
+}
+
+
+
+int main(int argc, char *argv[])
+{
+ dealii::Utilities::MPI::MPI_InitFinalize mpi_initialization(argc, argv);
+ mpi_initlog(__FILE__, true);
+
+ using namespace dealii;
+ using namespace Step39;
+
+ try
+ {
+ FE_DGQ<2> fe1(2);
+ InteriorPenaltyProblem<2> test1(fe1);
+ test1.run(6);
+ }
+ catch (std::exception &exc)
+ {
+ std::cerr << std::endl << std::endl
+ << "----------------------------------------------------"
+ << std::endl;
+ std::cerr << "Exception on processing: " << std::endl
+ << exc.what() << std::endl
+ << "Aborting!" << std::endl
+ << "----------------------------------------------------"
+ << std::endl;
+ return 1;
+ }
+ catch (...)
+ {
+ std::cerr << std::endl << std::endl
+ << "----------------------------------------------------"
+ << std::endl;
+ std::cerr << "Unknown exception!" << std::endl
+ << "Aborting!" << std::endl
+ << "----------------------------------------------------"
+ << std::endl;
+ return 1;
+ }
+
+ return 0;
+}
--- /dev/null
+
+DEAL::Cycle 0:
+DEAL:: Number of active cells: 16
+DEAL::Number of degrees of freedom: 25 L0: 4 L1: 9 L2: 25
+DEAL:: Number of degrees of freedom: 25 (by level: 4, 9, 25)
+DEAL:cg::Starting value 0.187500
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Convergence step 5 value 1.65910e-17
+DEAL::Cycle 1:
+DEAL:: Number of active cells: 31
+DEAL::Number of degrees of freedom: 46 L0: 4 L1: 9 L2: 25 L3: 33
+DEAL:: Number of degrees of freedom: 46 (by level: 4, 9, 25, 33)
+DEAL:cg::Starting value 0.156543
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Convergence step 6 value 2.33288e-13
+DEAL::Cycle 2:
+DEAL:: Number of active cells: 61
+DEAL::Number of degrees of freedom: 82 L0: 4 L1: 9 L2: 25 L3: 69 L4: 18
+DEAL:: Number of degrees of freedom: 82 (by level: 4, 9, 25, 69, 18)
+DEAL:cg::Starting value 0.121377
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::Convergence step 7 value 5.60747e-15
+DEAL::Cycle 3:
+DEAL:: Number of active cells: 118
+DEAL::Number of degrees of freedom: 151 L0: 4 L1: 9 L2: 25 L3: 77 L4: 109
+DEAL:: Number of degrees of freedom: 151 (by level: 4, 9, 25, 77, 109)
+DEAL:cg::Starting value 0.0945704
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::Convergence step 10 value 8.61989e-14
--- /dev/null
+
+DEAL::Cycle 0:
+DEAL:: Number of active cells: 16
+DEAL::Number of degrees of freedom: 25 L0: 4 L1: 9 L2: 25
+DEAL:: Number of degrees of freedom: 25 (by level: 4, 9, 25)
+DEAL:cg::Starting value 0.187500
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Convergence step 5 value 1.65911e-17
+DEAL::Cycle 1:
+DEAL:: Number of active cells: 64
+DEAL::Number of degrees of freedom: 81 L0: 4 L1: 9 L2: 25 L3: 81
+DEAL:: Number of degrees of freedom: 81 (by level: 4, 9, 25, 81)
+DEAL:cg::Starting value 0.109375
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Convergence step 7 value 2.00480e-14
+DEAL::Cycle 2:
+DEAL:: Number of active cells: 220
+DEAL::Number of degrees of freedom: 257 L0: 4 L1: 9 L2: 25 L3: 81 L4: 249
+DEAL:: Number of degrees of freedom: 257 (by level: 4, 9, 25, 81, 249)
+DEAL:cg::Starting value 0.0638137
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::Convergence step 9 value 8.34225e-13
+DEAL::Cycle 3:
+DEAL:: Number of active cells: 610
+DEAL::Number of degrees of freedom: 706 L0: 4 L1: 9 L2: 25 L3: 81 L4: 285 L5: 600
+DEAL:: Number of degrees of freedom: 706 (by level: 4, 9, 25, 81, 285, 600)
+DEAL:cg::Starting value 0.0462052
+DEAL:cg::V-cycle entering level 5
+DEAL:cg::Smoothing on level 5
+DEAL:cg::Residual on level 5
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::Smoothing on level 5
+DEAL:cg::V-cycle leaving level 5
+DEAL:cg::V-cycle entering level 5
+DEAL:cg::Smoothing on level 5
+DEAL:cg::Residual on level 5
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::Smoothing on level 5
+DEAL:cg::V-cycle leaving level 5
+DEAL:cg::V-cycle entering level 5
+DEAL:cg::Smoothing on level 5
+DEAL:cg::Residual on level 5
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::Smoothing on level 5
+DEAL:cg::V-cycle leaving level 5
+DEAL:cg::V-cycle entering level 5
+DEAL:cg::Smoothing on level 5
+DEAL:cg::Residual on level 5
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::Smoothing on level 5
+DEAL:cg::V-cycle leaving level 5
+DEAL:cg::V-cycle entering level 5
+DEAL:cg::Smoothing on level 5
+DEAL:cg::Residual on level 5
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::Smoothing on level 5
+DEAL:cg::V-cycle leaving level 5
+DEAL:cg::V-cycle entering level 5
+DEAL:cg::Smoothing on level 5
+DEAL:cg::Residual on level 5
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::Smoothing on level 5
+DEAL:cg::V-cycle leaving level 5
+DEAL:cg::V-cycle entering level 5
+DEAL:cg::Smoothing on level 5
+DEAL:cg::Residual on level 5
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::Smoothing on level 5
+DEAL:cg::V-cycle leaving level 5
+DEAL:cg::V-cycle entering level 5
+DEAL:cg::Smoothing on level 5
+DEAL:cg::Residual on level 5
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::Smoothing on level 5
+DEAL:cg::V-cycle leaving level 5
+DEAL:cg::V-cycle entering level 5
+DEAL:cg::Smoothing on level 5
+DEAL:cg::Residual on level 5
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::Smoothing on level 5
+DEAL:cg::V-cycle leaving level 5
+DEAL:cg::V-cycle entering level 5
+DEAL:cg::Smoothing on level 5
+DEAL:cg::Residual on level 5
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::Smoothing on level 5
+DEAL:cg::V-cycle leaving level 5
+DEAL:cg::V-cycle entering level 5
+DEAL:cg::Smoothing on level 5
+DEAL:cg::Residual on level 5
+DEAL:cg::V-cycle entering level 4
+DEAL:cg::Smoothing on level 4
+DEAL:cg::Residual on level 4
+DEAL:cg::V-cycle entering level 3
+DEAL:cg::Smoothing on level 3
+DEAL:cg::Residual on level 3
+DEAL:cg::V-cycle entering level 2
+DEAL:cg::Smoothing on level 2
+DEAL:cg::Residual on level 2
+DEAL:cg::V-cycle entering level 1
+DEAL:cg::Smoothing on level 1
+DEAL:cg::Residual on level 1
+DEAL:cg::V-cycle entering level 0
+DEAL:cg::Coarse level 0
+DEAL:cg::Smoothing on level 1
+DEAL:cg::V-cycle leaving level 1
+DEAL:cg::Smoothing on level 2
+DEAL:cg::V-cycle leaving level 2
+DEAL:cg::Smoothing on level 3
+DEAL:cg::V-cycle leaving level 3
+DEAL:cg::Smoothing on level 4
+DEAL:cg::V-cycle leaving level 4
+DEAL:cg::Smoothing on level 5
+DEAL:cg::V-cycle leaving level 5
+DEAL:cg::Convergence step 11 value 2.16358e-13
projects / dealii.git / commitdiff