]> https://gitweb.dealii.org/ - dealii-svn.git/commitdiff
New test.
authorbangerth <bangerth@0785d39b-7218-0410-832d-ea1e28bc413d>
Tue, 4 May 2010 19:52:06 +0000 (19:52 +0000)
committerbangerth <bangerth@0785d39b-7218-0410-832d-ea1e28bc413d>
Tue, 4 May 2010 19:52:06 +0000 (19:52 +0000)
git-svn-id: https://svn.dealii.org/trunk@21068 0785d39b-7218-0410-832d-ea1e28bc413d

tests/hp/Makefile
tests/hp/compare_hp_vs_nonhp_01.cc [new file with mode: 0644]
tests/hp/compare_hp_vs_nonhp_01/cmp/generic [new file with mode: 0644]

index d2de076d5e92fde21909e659594284e3dca2b858..cbc3d28b5fd2fb50cd2b1e3bb5ecf6050e63b36c 100644 (file)
@@ -1,6 +1,6 @@
 ############################################################
 # $Id$
-# Copyright (C) 2000, 2001, 2002, 2003, 2005, 2006, 2007, 2008, 2009 by the deal.II authors
+# Copyright (C) 2000, 2001, 2002, 2003, 2005, 2006, 2007, 2008, 2009, 2010 by the deal.II authors
 ############################################################
 
 ############################################################
@@ -42,7 +42,8 @@ tests_x = hp_dof_handler \
          get_active_fe_indices \
          create_* \
          renumber_* \
-         dof_renumbering_*
+         dof_renumbering_* \
+         compare*
 
 # from above list of regular expressions, generate the real set of
 # tests
diff --git a/tests/hp/compare_hp_vs_nonhp_01.cc b/tests/hp/compare_hp_vs_nonhp_01.cc
new file mode 100644 (file)
index 0000000..7808422
--- /dev/null
@@ -0,0 +1,406 @@
+//----------------------------  compare_hp_vs_nonhp_01.cc  ---------------------------
+//    $Id$
+//    Version: $Name$
+//
+//    Copyright (C) 2005, 2006, 2008, 2010 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.
+//
+//----------------------------  compare_hp_vs_nonhp_01.cc  ---------------------------
+
+
+// a test adapted from little programs by Markus Buerg that makes sure
+// we compute the same solution for hp and non-hp cases
+
+
+#include "../tests.h"
+#include <base/logstream.h>
+#include <grid/tria.h>
+#include <dofs/dof_handler.h>
+#include <grid/grid_generator.h>
+
+#include <grid/tria_accessor.h>
+#include <grid/tria_iterator.h>
+#include <dofs/dof_accessor.h>
+
+#include <fe/fe_q.h>
+
+#include <dofs/dof_tools.h>
+
+#include <hp/fe_values.h>
+#include <base/quadrature_lib.h>
+
+#include <base/function.h>
+#include <numerics/vectors.h>
+#include <numerics/matrices.h>
+
+#include <lac/vector.h>
+#include <lac/full_matrix.h>
+#include <lac/sparse_matrix.h>
+#include <lac/solver_cg.h>
+#include <lac/precondition.h>
+
+#include <numerics/data_out.h>
+#include <fstream>
+#include <iostream>
+
+std::ofstream logfile("compare_hp_vs_nonhp_01/output");
+
+
+template <int dim>
+class ExactSolution: public Function<dim> {
+  public:
+    ExactSolution ();
+    virtual double value (const Point<dim>& p, const unsigned int component = 0) const;
+};
+
+template <int dim>
+double ExactSolution<dim>::value (const Point<dim>& p, const unsigned int) const {
+  return p (0) * p (0);
+}
+
+template <int dim>
+ExactSolution<dim>::ExactSolution (): Function<dim> () {
+}
+
+
+
+namespace with_hp
+{
+  template <int dim>
+  class LaplaceProblem
+  {
+    public:
+      LaplaceProblem<dim> ();
+
+      void run (Vector<double> &sol);
+
+    private:
+      const ExactSolution<dim> exact_solution;
+      void make_grid_and_dofs ();
+      void assemble_system ();
+      void solve ();
+
+      Triangulation<dim>     triangulation;
+      hp::FECollection<dim>      fe;
+      hp::DoFHandler<dim>        dof_handler;
+      hp::QCollection<dim>   quadrature;
+      SparsityPattern      sparsity_pattern;
+      SparseMatrix<double> system_matrix;
+
+      Vector<double>       solution;
+      Vector<double>       system_rhs;
+  };
+
+  template <int dim>
+  LaplaceProblem<dim>::LaplaceProblem () :
+                 dof_handler (triangulation)
+  {
+    fe.push_back (FE_Q<dim> (1));
+    quadrature.push_back (QGauss<dim> (2));
+  }
+
+  template <int dim>
+  void LaplaceProblem<dim>::make_grid_and_dofs ()
+  {
+    GridGenerator::hyper_cube (triangulation);
+    triangulation.refine_global (2);
+    deallog << "Number of active cells: "
+             << triangulation.n_active_cells()
+             << std::endl;
+    deallog << "Total number of cells: "
+             << triangulation.n_cells()
+             << std::endl;
+
+    dof_handler.distribute_dofs (fe);
+    deallog << "Number of degrees of freedom: "
+             << dof_handler.n_dofs()
+             << std::endl;
+
+    sparsity_pattern.reinit (dof_handler.n_dofs(),
+                            dof_handler.n_dofs(),
+                            dof_handler.max_couplings_between_dofs());
+    DoFTools::make_sparsity_pattern (dof_handler, sparsity_pattern);
+    sparsity_pattern.compress();
+
+    system_matrix.reinit (sparsity_pattern);
+
+    solution.reinit (dof_handler.n_dofs());
+    system_rhs.reinit (dof_handler.n_dofs());
+  }
+
+  template <int dim>
+  void LaplaceProblem<dim>::assemble_system ()
+  {
+    hp::FEValues<dim> fe_values (fe, quadrature,
+                              update_values | update_gradients | update_JxW_values);
+
+    unsigned int   dofs_per_cell;
+    unsigned int   n_q_points;
+
+    FullMatrix<double>   cell_matrix;
+    Vector<double>       cell_rhs;
+
+    std::vector<unsigned int> local_dof_indices;
+
+    typename hp::DoFHandler<dim>::active_cell_iterator
+      cell = dof_handler.begin_active(),
+      endc = dof_handler.end();
+    for (; cell!=endc; ++cell)
+      {
+       fe_values.reinit (cell);
+       dofs_per_cell = cell->get_fe ().dofs_per_cell;
+       cell_matrix.reinit (dofs_per_cell, dofs_per_cell);
+       cell_matrix = 0;
+       cell_rhs.reinit (dofs_per_cell);
+       cell_rhs = 0;
+       n_q_points = fe_values.get_present_fe_values ().n_quadrature_points;
+
+       for (unsigned int i=0; i<dofs_per_cell; ++i)
+         for (unsigned int j=0; j<dofs_per_cell; ++j)
+           for (unsigned int q_point=0; q_point<n_q_points; ++q_point)
+             cell_matrix(i,j) += (fe_values.get_present_fe_values ().shape_grad (i, q_point) *
+                                  fe_values.get_present_fe_values ().shape_grad (j, q_point) *
+                                  fe_values.get_present_fe_values ().JxW (q_point));
+
+       for (unsigned int i=0; i<dofs_per_cell; ++i)
+         for (unsigned int q_point=0; q_point<n_q_points; ++q_point)
+           cell_rhs(i) += (-2.0 * fe_values.get_present_fe_values ().shape_value (i, q_point) *
+                           fe_values.get_present_fe_values ().JxW (q_point));
+
+       local_dof_indices.resize (dofs_per_cell);
+       cell->get_dof_indices (local_dof_indices);
+
+       for (unsigned int i=0; i<dofs_per_cell; ++i)
+         for (unsigned int j=0; j<dofs_per_cell; ++j)
+           system_matrix.add (local_dof_indices[i],
+                              local_dof_indices[j],
+                              cell_matrix(i,j));
+
+       for (unsigned int i=0; i<dofs_per_cell; ++i)
+         system_rhs(local_dof_indices[i]) += cell_rhs(i);
+      }
+
+
+    std::map<unsigned int,double> boundary_values;
+    VectorTools::interpolate_boundary_values (dof_handler,
+                                             0,
+                                             exact_solution,
+                                             boundary_values);
+    VectorTools::interpolate_boundary_values (dof_handler,
+                                             1,
+                                             exact_solution,
+                                             boundary_values);
+    MatrixTools::apply_boundary_values (boundary_values,
+                                       system_matrix,
+                                       solution,
+                                       system_rhs);
+  }
+
+  template <int dim>
+  void LaplaceProblem<dim>::solve ()
+  {
+    SolverControl           solver_control (1000, 1e-12);
+    SolverCG<>              cg (solver_control);
+
+    cg.solve (system_matrix, solution, system_rhs,
+             PreconditionIdentity());
+  }
+
+  template <int dim>
+  void LaplaceProblem<dim>::run (Vector<double> &sol)
+  {
+    make_grid_and_dofs ();
+    assemble_system ();
+    solve ();
+
+    sol = solution;
+  }
+}
+
+
+namespace without_hp
+{
+  template <int dim>
+  class LaplaceProblem
+  {
+    public:
+      LaplaceProblem<dim> ();
+
+      void run (Vector<double> &sol);
+
+    private:
+      const ExactSolution<dim> exact_solution;
+      void make_grid_and_dofs ();
+      void assemble_system ();
+      void solve ();
+
+      Triangulation<dim>     triangulation;
+      FE_Q<dim>              fe;
+      DoFHandler<dim>        dof_handler;
+
+      SparsityPattern      sparsity_pattern;
+      SparseMatrix<double> system_matrix;
+
+      Vector<double>       solution;
+      Vector<double>       system_rhs;
+  };
+
+  template <int dim>
+  LaplaceProblem<dim>::LaplaceProblem () :
+                 fe (1),
+                 dof_handler (triangulation)
+  {}
+
+  template <int dim>
+  void LaplaceProblem<dim>::make_grid_and_dofs ()
+  {
+    GridGenerator::hyper_cube (triangulation);
+    triangulation.refine_global (2);
+    deallog << "Number of active cells: "
+             << triangulation.n_active_cells()
+             << std::endl;
+    deallog << "Total number of cells: "
+             << triangulation.n_cells()
+             << std::endl;
+
+    dof_handler.distribute_dofs (fe);
+    deallog << "Number of degrees of freedom: "
+             << dof_handler.n_dofs()
+             << std::endl;
+
+    sparsity_pattern.reinit (dof_handler.n_dofs(),
+                            dof_handler.n_dofs(),
+                            dof_handler.max_couplings_between_dofs());
+    DoFTools::make_sparsity_pattern (dof_handler, sparsity_pattern);
+    sparsity_pattern.compress();
+
+    system_matrix.reinit (sparsity_pattern);
+
+    solution.reinit (dof_handler.n_dofs());
+    system_rhs.reinit (dof_handler.n_dofs());
+  }
+
+  template <int dim>
+  void LaplaceProblem<dim>::assemble_system ()
+  {
+    QGauss<dim>  quadrature_formula(2);
+    FEValues<dim> fe_values (fe, quadrature_formula,
+                          update_values | update_gradients | update_JxW_values);
+
+    const unsigned int   dofs_per_cell = fe.dofs_per_cell;
+    const unsigned int   n_q_points    = quadrature_formula.size();
+
+    FullMatrix<double>   cell_matrix (dofs_per_cell, dofs_per_cell);
+    Vector<double>       cell_rhs (dofs_per_cell);
+
+    std::vector<unsigned int> local_dof_indices (dofs_per_cell);
+
+    typename DoFHandler<dim>::active_cell_iterator
+      cell = dof_handler.begin_active(),
+      endc = dof_handler.end();
+    for (; cell!=endc; ++cell)
+      {
+       fe_values.reinit (cell);
+
+       cell_matrix = 0;
+       cell_rhs = 0;
+
+       for (unsigned int i=0; i<dofs_per_cell; ++i)
+         for (unsigned int j=0; j<dofs_per_cell; ++j)
+           for (unsigned int q_point=0; q_point<n_q_points; ++q_point)
+             cell_matrix(i,j) += (fe_values.shape_grad (i, q_point) *
+                                  fe_values.shape_grad (j, q_point) *
+                                  fe_values.JxW (q_point));
+
+       for (unsigned int i=0; i<dofs_per_cell; ++i)
+         for (unsigned int q_point=0; q_point<n_q_points; ++q_point)
+           cell_rhs(i) += (-2.0 * fe_values.shape_value (i, q_point) *
+                           fe_values.JxW (q_point));
+
+       cell->get_dof_indices (local_dof_indices);
+
+       for (unsigned int i=0; i<dofs_per_cell; ++i)
+         for (unsigned int j=0; j<dofs_per_cell; ++j)
+           system_matrix.add (local_dof_indices[i],
+                              local_dof_indices[j],
+                              cell_matrix(i,j));
+
+       for (unsigned int i=0; i<dofs_per_cell; ++i)
+         system_rhs(local_dof_indices[i]) += cell_rhs(i);
+      }
+
+
+    std::map<unsigned int,double> boundary_values;
+    VectorTools::interpolate_boundary_values (dof_handler,
+                                             0,
+                                             exact_solution,
+                                             boundary_values);
+    VectorTools::interpolate_boundary_values (dof_handler,
+                                             1,
+                                             exact_solution,
+                                             boundary_values);
+    MatrixTools::apply_boundary_values (boundary_values,
+                                       system_matrix,
+                                       solution,
+                                       system_rhs);
+  }
+
+  template <int dim>
+  void LaplaceProblem<dim>::solve ()
+  {
+    SolverControl           solver_control (1000, 1e-12);
+    SolverCG<>              cg (solver_control);
+
+    cg.solve (system_matrix, solution, system_rhs,
+             PreconditionIdentity());
+  }
+
+  template <int dim>
+  void LaplaceProblem<dim>::run (Vector<double> &sol)
+  {
+    make_grid_and_dofs ();
+    assemble_system ();
+    solve ();
+
+    sol = solution;
+  }
+}
+
+
+template <int dim>
+void test ()
+{
+  deallog << "dim=" << dim << std::endl;
+
+  Vector<double> sol1, sol2;
+  with_hp::LaplaceProblem<dim>().run (sol1);
+  without_hp::LaplaceProblem<dim>().run (sol2);
+
+  deallog << sol1.l2_norm() << ' ' << sol2.l2_norm() << std::endl;
+
+  sol1 -= sol2;
+  Assert (sol1.l2_norm () <= 1e-8 * sol2.l2_norm(),
+         ExcInternalError());
+}
+
+
+
+int main ()
+{
+  logfile.precision(2);
+  deallog << std::setprecision(2);
+
+  deallog.attach(logfile);
+  deallog.depth_console(0);
+  deallog.threshold_double(1.e-10);
+
+  test<1> ();
+  test<2> ();
+  test<3> ();
+
+  return 0;
+}
diff --git a/tests/hp/compare_hp_vs_nonhp_01/cmp/generic b/tests/hp/compare_hp_vs_nonhp_01/cmp/generic
new file mode 100644 (file)
index 0000000..7f3c36a
--- /dev/null
@@ -0,0 +1,7181 @@
+
+DEAL::Number of active cells: 1024
+DEAL::Total number of cells: 1365
+DEAL::Number of degrees of freedom: 1089
+DEAL:cg::Starting value 0.12
+DEAL:cg::Convergence step 48 value 0
+# This file was generated by the deal.II library.
+
+
+#
+# For a description of the GNUPLOT format see the GNUPLOT manual.
+#
+# <x> <y> <solution> 
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