--- /dev/null
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2009 - 2018 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.
+//
+// ---------------------------------------------------------------------
+
+
+// A lightly adapted version of the step-40 tutorial program. compared
+// to the plain mpi/step-40 test, this test uses hp::DoFHandler, and
+// compared to the hp_step-40 test, it uses different finite element
+// objects (though all of the same kind)
+
+#include <deal.II/base/conditional_ostream.h>
+#include <deal.II/base/function.h>
+#include <deal.II/base/index_set.h>
+#include <deal.II/base/mpi.h>
+#include <deal.II/base/quadrature_lib.h>
+#include <deal.II/base/utilities.h>
+
+#include <deal.II/distributed/grid_refinement.h>
+#include <deal.II/distributed/tria.h>
+
+#include <deal.II/dofs/dof_accessor.h>
+#include <deal.II/dofs/dof_tools.h>
+
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_values.h>
+
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/tria_accessor.h>
+#include <deal.II/grid/tria_iterator.h>
+
+#include <deal.II/hp/dof_handler.h>
+#include <deal.II/hp/fe_collection.h>
+#include <deal.II/hp/fe_values.h>
+
+#include <deal.II/lac/affine_constraints.h>
+#include <deal.II/lac/dynamic_sparsity_pattern.h>
+#include <deal.II/lac/full_matrix.h>
+#include <deal.II/lac/petsc_precondition.h>
+#include <deal.II/lac/petsc_solver.h>
+#include <deal.II/lac/petsc_sparse_matrix.h>
+#include <deal.II/lac/petsc_vector.h>
+#include <deal.II/lac/solver_cg.h>
+#include <deal.II/lac/sparsity_tools.h>
+#include <deal.II/lac/vector.h>
+
+#include <deal.II/numerics/data_out.h>
+#include <deal.II/numerics/error_estimator.h>
+#include <deal.II/numerics/vector_tools.h>
+
+#include <iostream>
+
+#include "../tests.h"
+
+namespace Step40
+{
+ using namespace dealii;
+
+
+ template <int dim>
+ class LaplaceProblem
+ {
+ public:
+ LaplaceProblem();
+ ~LaplaceProblem();
+
+ void
+ run();
+
+ private:
+ void
+ setup_system();
+ void
+ assemble_system();
+ void
+ solve();
+ void
+ refine_grid();
+
+ MPI_Comm mpi_communicator;
+
+ parallel::distributed::Triangulation<dim> triangulation;
+
+ hp::DoFHandler<dim> dof_handler;
+ hp::FECollection<dim> fe;
+
+ IndexSet locally_owned_dofs;
+ IndexSet locally_relevant_dofs;
+
+ AffineConstraints<double> constraints;
+
+ PETScWrappers::MPI::SparseMatrix system_matrix;
+ PETScWrappers::MPI::Vector locally_relevant_solution;
+ PETScWrappers::MPI::Vector system_rhs;
+
+ ConditionalOStream pcout;
+ };
+
+
+
+ template <int dim>
+ LaplaceProblem<dim>::LaplaceProblem()
+ : mpi_communicator(MPI_COMM_WORLD)
+ , triangulation(mpi_communicator,
+ typename Triangulation<dim>::MeshSmoothing(
+ Triangulation<dim>::smoothing_on_refinement |
+ Triangulation<dim>::smoothing_on_coarsening))
+ , dof_handler(triangulation)
+ , pcout(Utilities::MPI::this_mpi_process(mpi_communicator) == 0 ?
+ deallog.get_file_stream() :
+ std::cout,
+ (Utilities::MPI::this_mpi_process(mpi_communicator) == 0))
+ {
+ fe.push_back(FE_Q<dim>(2));
+ fe.push_back(FE_Q<dim>(2));
+ fe.push_back(FE_Q<dim>(2));
+ }
+
+
+
+ template <int dim>
+ LaplaceProblem<dim>::~LaplaceProblem()
+ {
+ dof_handler.clear();
+ }
+
+
+
+ template <int dim>
+ void
+ LaplaceProblem<dim>::setup_system()
+ {
+ // set active_fe_index mostly randomly
+ for (const auto &cell : dof_handler.active_cell_iterators())
+ if (cell->is_locally_owned())
+ cell->set_active_fe_index(cell->active_cell_index() % fe.size());
+
+ dof_handler.distribute_dofs(fe);
+
+ locally_owned_dofs = dof_handler.locally_owned_dofs();
+ DoFTools::extract_locally_relevant_dofs(dof_handler, locally_relevant_dofs);
+
+ locally_relevant_solution.reinit(locally_owned_dofs,
+ locally_relevant_dofs,
+ mpi_communicator);
+ system_rhs.reinit(locally_owned_dofs, mpi_communicator);
+ system_rhs = PetscScalar();
+
+ constraints.clear();
+ constraints.reinit(locally_relevant_dofs);
+ DoFTools::make_hanging_node_constraints(dof_handler, constraints);
+ VectorTools::interpolate_boundary_values(dof_handler,
+ 0,
+ Functions::ZeroFunction<dim>(),
+ constraints);
+ constraints.close();
+
+ DynamicSparsityPattern csp(dof_handler.n_dofs(),
+ dof_handler.n_dofs(),
+ locally_relevant_dofs);
+ DoFTools::make_sparsity_pattern(dof_handler, csp, constraints, false);
+ SparsityTools::distribute_sparsity_pattern(
+ csp,
+ dof_handler.n_locally_owned_dofs_per_processor(),
+ mpi_communicator,
+ locally_relevant_dofs);
+ system_matrix.reinit(mpi_communicator,
+ csp,
+ dof_handler.n_locally_owned_dofs_per_processor(),
+ dof_handler.n_locally_owned_dofs_per_processor(),
+ Utilities::MPI::this_mpi_process(mpi_communicator));
+ }
+
+
+
+ template <int dim>
+ void
+ LaplaceProblem<dim>::assemble_system()
+ {
+ const QGauss<dim> quadrature_formula(3);
+ hp::QCollection<dim> q_collection;
+ q_collection.push_back(quadrature_formula);
+
+ hp::FEValues<dim> x_fe_values(fe,
+ q_collection,
+ update_values | update_gradients |
+ update_quadrature_points |
+ update_JxW_values);
+
+ FullMatrix<PetscScalar> cell_matrix;
+ Vector<PetscScalar> cell_rhs;
+
+ std::vector<types::global_dof_index> local_dof_indices;
+
+ typename hp::DoFHandler<dim>::active_cell_iterator cell = dof_handler
+ .begin_active(),
+ endc = dof_handler.end();
+ for (; cell != endc; ++cell)
+ if (cell->is_locally_owned())
+ {
+ x_fe_values.reinit(cell);
+ const FEValues<dim> &fe_values = x_fe_values.get_present_fe_values();
+
+ const unsigned int dofs_per_cell = cell->get_fe().dofs_per_cell;
+ const unsigned int n_q_points = fe_values.get_quadrature().size();
+
+ cell_matrix.reinit(dofs_per_cell, dofs_per_cell);
+ cell_rhs.reinit(dofs_per_cell);
+
+ local_dof_indices.resize(dofs_per_cell);
+
+ cell_matrix = PetscScalar();
+ cell_rhs = PetscScalar();
+
+ for (unsigned int q_point = 0; q_point < n_q_points; ++q_point)
+ {
+ const double rhs_value =
+ (fe_values.quadrature_point(q_point)[1] >
+ 0.5 +
+ 0.25 * std::sin(4.0 * numbers::PI *
+ fe_values.quadrature_point(q_point)[0]) ?
+ 1 :
+ -1);
+
+ for (unsigned int i = 0; i < dofs_per_cell; ++i)
+ {
+ for (unsigned int j = 0; j < dofs_per_cell; ++j)
+ cell_matrix(i, j) += (fe_values.shape_grad(i, q_point) *
+ fe_values.shape_grad(j, q_point) *
+ fe_values.JxW(q_point));
+
+ cell_rhs(i) +=
+ (rhs_value * fe_values.shape_value(i, q_point) *
+ fe_values.JxW(q_point));
+ }
+ }
+
+ cell->get_dof_indices(local_dof_indices);
+ constraints.distribute_local_to_global(cell_matrix,
+ cell_rhs,
+ local_dof_indices,
+ system_matrix,
+ system_rhs);
+ }
+
+ system_matrix.compress(VectorOperation::add);
+ system_rhs.compress(VectorOperation::add);
+ }
+
+
+
+ template <int dim>
+ void
+ LaplaceProblem<dim>::solve()
+ {
+ PETScWrappers::MPI::Vector completely_distributed_solution(
+ mpi_communicator,
+ dof_handler.n_dofs(),
+ dof_handler.n_locally_owned_dofs());
+
+ SolverControl solver_control(dof_handler.n_dofs(), 1e-12);
+
+ PETScWrappers::SolverCG solver(solver_control, mpi_communicator);
+
+#ifndef PETSC_USE_COMPLEX
+ PETScWrappers::PreconditionBoomerAMG preconditioner(
+ system_matrix,
+ PETScWrappers::PreconditionBoomerAMG::AdditionalData(true));
+
+ check_solver_within_range(solver.solve(system_matrix,
+ completely_distributed_solution,
+ system_rhs,
+ preconditioner),
+ solver_control.last_step(),
+ 10,
+ 10);
+#else
+ check_solver_within_range(solver.solve(system_matrix,
+ completely_distributed_solution,
+ system_rhs,
+ PETScWrappers::PreconditionJacobi(
+ system_matrix)),
+ solver_control.last_step(),
+ 120,
+ 260);
+#endif
+
+ pcout << " Solved in " << solver_control.last_step() << " iterations."
+ << std::endl;
+
+ constraints.distribute(completely_distributed_solution);
+
+ locally_relevant_solution = completely_distributed_solution;
+ }
+
+
+
+ template <int dim>
+ void
+ LaplaceProblem<dim>::refine_grid()
+ {
+ triangulation.refine_global(1);
+ }
+
+
+
+ template <int dim>
+ void
+ LaplaceProblem<dim>::run()
+ {
+ const unsigned int n_cycles = 2;
+ for (unsigned int cycle = 0; cycle < n_cycles; ++cycle)
+ {
+ pcout << "Cycle " << cycle << ':' << std::endl;
+
+ if (cycle == 0)
+ {
+ GridGenerator::hyper_cube(triangulation);
+ triangulation.refine_global(5);
+ }
+ else
+ refine_grid();
+
+ setup_system();
+
+ pcout << " Number of active cells: "
+ << triangulation.n_global_active_cells() << std::endl
+ << " ";
+ for (unsigned int i = 0;
+ i < Utilities::MPI::n_mpi_processes(mpi_communicator);
+ ++i)
+ pcout << triangulation.n_locally_owned_active_cells_per_processor()[i]
+ << '+';
+ pcout << std::endl;
+
+ pcout << " Number of degrees of freedom: " << dof_handler.n_dofs()
+ << std::endl
+ << " ";
+ for (unsigned int i = 0;
+ i < Utilities::MPI::n_mpi_processes(mpi_communicator);
+ ++i)
+ pcout << dof_handler.n_locally_owned_dofs_per_processor()[i] << '+';
+ pcout << std::endl;
+
+ assemble_system();
+ solve();
+
+ pcout << std::endl;
+ }
+ }
+} // namespace Step40
+
+
+int
+test_mpi()
+{
+ try
+ {
+ using namespace dealii;
+ using namespace Step40;
+
+
+ {
+ LaplaceProblem<2> laplace_problem_2d;
+ laplace_problem_2d.run();
+ }
+ }
+ 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;
+}
+
+
+
+int
+main(int argc, char *argv[])
+{
+ Utilities::MPI::MPI_InitFinalize mpi_initialization(argc, argv, 1);
+
+ if (Utilities::MPI::this_mpi_process(MPI_COMM_WORLD) == 0)
+ {
+ initlog();
+
+ deallog.push("mpi");
+ test_mpi();
+ deallog.pop();
+ }
+ else
+ test_mpi();
+}
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