--- /dev/null
+# $Id$
+# Copyright W. Bangerth, University of Heidelberg, 1999
+
+# Template for makefiles for the examples subdirectory. In principle,
+# everything should be done automatically if you set the target file
+# here correctly. We get deduce it from the files in the present
+# directory:
+target = $(basename $(shell echo step-*.cc))
+
+# All dependencies between files should be updated by the included
+# file Makefile.dep if necessary. Object files are compiled into
+# the archives ./Obj.a and ./Obj.g.a. By default, the debug version
+# is used to link. It you don't like that, change the following
+# variable to "off"
+debug-mode = on
+
+
+
+###############################################################################
+# Internals
+
+#deal include base path
+D = ../../../..
+
+include $D/common/Make.global_options
+
+# get lists of files we need
+
+
+# list of libraries needed to link with
+libs = -ldeal_II_2d -llac -lbase
+libs.g = -ldeal_II_2d.g -llac.g -lbase.g
+
+
+# check whether we use debug mode or not
+ifeq ($(debug-mode),on)
+ libraries = $(target).go $(libs.g)
+ flags = $(CXXFLAGS.g)
+else
+ libraries = $(target).go $(libs)
+ flags = $(CXXFLAGS.o)
+endif
+
+
+
+# make rule for the target. $^ is the object file $(target).g?o
+$(target) : $(libraries)
+ @echo ============================ Linking $@
+ @$(CXX) $(flags) -o $@ $^
+
+# rule how to run the program
+run: $(target)
+ @echo ============================ Running $@
+ @./$(target)
+
+
+# rule to make object files
+%.go : %.cc
+ @echo ============================ Compiling with debugging information: $<
+ @$(CXX) $(CXXFLAGS.g) -c $< -o $@
+%.o : %.cc
+ @echo ============================ Compiling with optimization: $<
+ @$(CXX) $(CXXFLAGS) -c $< -o $@
+
+
+clean:
+ -rm -f *.o *.go *~ Makefile.dep $(target) *gmv *gnuplot *gpl *eps
+
+
+
+.PHONY: clean
+
+
+# Rule to generate the dependency file. This file is
+# automagically remade whenever needed, i.e. whenever
+# one of the cc-/h-files changed. Make detects whether
+# to remake this file upon inclusion at the bottom
+# of this file.
+#
+# Since the script prefixes the output names by lib/g?o, we have to
+# strip that again (the script was written for the main libraries and
+# large projects where object files are put into subdirs)
+Makefile.dep: $(target).cc Makefile \
+ $(shell echo $D/base/include/base/*.h \
+ $D/lac/include/lac/*.h \
+ $D/deal.II/include/*/*.h)
+ @echo ============================ Remaking Makefile
+ @perl $D/common/scripts/make_dependencies.pl $(INCLUDE) $(target).cc \
+ | perl -pi -e 's!lib/g?o/!!g;' \
+ > Makefile.dep
+
+
+include Makefile.dep
+
--- /dev/null
+/* $Id$ */
+/* Author: Wolfgang Bangerth, University of Heidelberg, 2000 */
+
+
+ // still unfinished
+#include <base/quadrature_lib.h>
+#include <base/function.h>
+#include <base/logstream.h>
+#include <lac/vector.h>
+#include <lac/full_matrix.h>
+#include <lac/sparse_matrix.h>
+#include <lac/solver_cg.h>
+#include <lac/vector_memory.h>
+#include <lac/precondition.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 <dofs/dof_tools.h>
+#include <fe/fe_lib.lagrange.h>
+#include <fe/fe_values.h>
+#include <numerics/vectors.h>
+#include <numerics/matrices.h>
+#include <numerics/data_out.h>
+
+ // out statt in
+#include <grid/grid_out.h>
+
+#include <grid/tria_boundary_lib.h>
+
+ //...
+#include <dofs/dof_constraints.h>
+#include <numerics/error_estimator.h>
+
+#include <fstream>
+
+
+
+template <int dim>
+class LaplaceProblem
+{
+ public:
+ LaplaceProblem ();
+ void run ();
+
+ private:
+ void setup_system ();
+ void assemble_system ();
+ void solve ();
+ void refine_grid ();
+ void output_results (const unsigned int cycle) const;
+
+ Triangulation<dim> triangulation;
+ FEQ1<dim> fe;
+ DoFHandler<dim> dof_handler;
+
+ ConstraintMatrix hanging_node_constraints;
+
+ SparseMatrixStruct sparsity_pattern;
+ SparseMatrix<double> system_matrix;
+
+ Vector<double> solution;
+ Vector<double> system_rhs;
+};
+
+
+
+template <int dim>
+class Coefficient : public Function<dim>
+{
+ public:
+ virtual double value (const Point<dim> &p,
+ const unsigned int component = 0) const;
+
+ virtual void value_list (const vector<Point<dim> > &points,
+ vector<double> &values,
+ const unsigned int component = 0) const;
+};
+
+
+
+template <int dim>
+double Coefficient<dim>::value (const Point<dim> &p,
+ const unsigned int) const
+{
+ if (p.square() < 0.5*0.5)
+ return 20;
+ else
+ return 1;
+};
+
+
+
+template <int dim>
+void Coefficient<dim>::value_list (const vector<Point<dim> > &points,
+ vector<double> &values,
+ const unsigned int component) const
+{
+ const unsigned int n_points = points.size();
+
+ Assert (values.size() == n_points,
+ ExcVectorHasWrongSize (values.size(), n_points));
+
+ Assert (component == 0,
+ ExcWrongComponent (component, 1));
+
+ for (unsigned int i=0; i<n_points; ++i)
+ {
+ if (points[i].square() < 0.5*0.5)
+ values[i] = 20;
+ else
+ values[i] = 1;
+ };
+};
+
+
+template <int dim>
+LaplaceProblem<dim>::LaplaceProblem () :
+ dof_handler (triangulation)
+{};
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::setup_system ()
+{
+ dof_handler.distribute_dofs (fe);
+
+ //...
+ hanging_node_constraints.clear ();
+ DoFTools::make_hanging_node_constraints (dof_handler,
+ hanging_node_constraints);
+ hanging_node_constraints.close ();
+
+ 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);
+
+ //...
+ hanging_node_constraints.condense (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 ()
+{
+ const Coefficient<dim> coefficient;
+
+ QGauss3<dim> quadrature_formula;
+
+ FEValues<dim> fe_values (fe, quadrature_formula,
+ UpdateFlags(update_values |
+ update_gradients |
+ update_q_points |
+ update_JxW_values));
+
+ const unsigned int dofs_per_cell = fe.dofs_per_cell;
+ const unsigned int n_q_points = quadrature_formula.n_quadrature_points;
+
+ FullMatrix<double> cell_matrix (dofs_per_cell, dofs_per_cell);
+ Vector<double> cell_rhs (dofs_per_cell);
+
+ vector<int> local_dof_indices (dofs_per_cell);
+
+ vector<double> coefficient_values (n_q_points);
+
+ DoFHandler<dim>::active_cell_iterator cell = dof_handler.begin_active(),
+ endc = dof_handler.end();
+ for (; cell!=endc; ++cell)
+ {
+ cell_matrix.clear ();
+ cell_rhs.clear ();
+
+ fe_values.reinit (cell);
+ const FullMatrix<double>
+ & shape_values = fe_values.get_shape_values();
+ const vector<vector<Tensor<1,dim> > >
+ & shape_grads = fe_values.get_shape_grads();
+ const vector<double>
+ & JxW_values = fe_values.get_JxW_values();
+ const vector<Point<dim> >
+ & q_points = fe_values.get_quadrature_points();
+
+ coefficient.value_list (q_points, coefficient_values);
+
+ for (unsigned int q_point=0; q_point<n_q_points; ++q_point)
+ for (unsigned int i=0; i<dofs_per_cell; ++i)
+ {
+ for (unsigned int j=0; j<dofs_per_cell; ++j)
+ cell_matrix(i,j) += (coefficient_values[q_point] *
+ (shape_grads[i][q_point] *
+ shape_grads[j][q_point]) *
+ JxW_values[q_point]);
+
+ cell_rhs(i) += (shape_values (i,q_point) *
+ 1.0 *
+ 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));
+
+ system_rhs(local_dof_indices[i]) += cell_rhs(i);
+ };
+ };
+
+ map<int,double> boundary_values;
+ VectorTools::interpolate_boundary_values (dof_handler,
+ 0,
+ ZeroFunction<dim>(),
+ boundary_values);
+ MatrixTools<dim>::apply_boundary_values (boundary_values,
+ system_matrix,
+ solution,
+ system_rhs);
+
+ hanging_node_constraints.condense (system_matrix);
+ hanging_node_constraints.condense (system_rhs);
+};
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::solve ()
+{
+ SolverControl solver_control (1000, 1e-12);
+ PrimitiveVectorMemory<> vector_memory;
+ SolverCG<> cg (solver_control, vector_memory);
+
+ PreconditionRelaxation<>
+ preconditioner(system_matrix,
+ &SparseMatrix<double>::template precondition_SSOR<double>,
+ 1.2);
+
+ cg.solve (system_matrix, solution, system_rhs,
+ preconditioner);
+
+ hanging_node_constraints.distribute (solution);
+};
+
+
+ //...
+template <int dim>
+void LaplaceProblem<dim>::refine_grid ()
+{
+ Vector<float> estimated_error_per_cell (triangulation.n_active_cells());
+
+ KellyErrorEstimator<dim>::FunctionMap neumann_boundary;
+ KellyErrorEstimator<dim>::estimate (dof_handler,
+ QGauss3<dim-1>(),
+ neumann_boundary,
+ solution,
+ estimated_error_per_cell);
+
+ triangulation.refine_and_coarsen_fixed_number (estimated_error_per_cell,
+ 0.3, 0.03);
+ triangulation.execute_coarsening_and_refinement ();
+};
+
+template <int dim>
+void LaplaceProblem<dim>::output_results (const unsigned int cycle) const
+{
+ // ...
+ string filename = "grid-";
+ filename += ('0' + cycle);
+ Assert (cycle < 10, ExcInternalError());
+
+ filename += ".eps";
+ ofstream output (filename.c_str());
+
+ GridOut grid_out;
+ grid_out.write_eps (triangulation, output);
+};
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::run ()
+{
+ for (unsigned int cycle=0; cycle<8; ++cycle)
+ {
+ cout << "Cycle " << cycle << ':' << endl;
+
+ if (cycle == 0)
+ {
+ //...
+ GridGenerator::hyper_ball (triangulation);
+
+ static const HyperBallBoundary<dim> boundary;
+ triangulation.set_boundary (0, boundary);
+
+ triangulation.refine_global (1);
+ }
+ else
+ // ...
+ refine_grid ();
+
+ cout << " Number of active cells: "
+ << triangulation.n_active_cells()
+ << endl;
+
+ setup_system ();
+ assemble_system ();
+ solve ();
+ output_results (cycle);
+ };
+
+ DataOut<dim>::EpsFlags eps_flags;
+ eps_flags.z_scaling = 4;
+
+ DataOut<dim> data_out;
+ data_out.set_flags (eps_flags);
+
+ data_out.attach_dof_handler (dof_handler);
+ data_out.add_data_vector (solution, "solution");
+ data_out.build_patches ();
+
+ ofstream output ("final-solution.eps");
+ data_out.write_eps (output);
+};
+
+
+
+int main ()
+{
+ deallog.depth_console (0);
+
+ LaplaceProblem<2> laplace_problem_2d;
+ laplace_problem_2d.run ();
+
+ return 0;
+};
--- /dev/null
+# $Id$
+# Copyright W. Bangerth, University of Heidelberg, 1999
+
+# Template for makefiles for the examples subdirectory. In principle,
+# everything should be done automatically if you set the target file
+# here correctly. We get deduce it from the files in the present
+# directory:
+target = $(basename $(shell echo step-*.cc))
+
+# All dependencies between files should be updated by the included
+# file Makefile.dep if necessary. Object files are compiled into
+# the archives ./Obj.a and ./Obj.g.a. By default, the debug version
+# is used to link. It you don't like that, change the following
+# variable to "off"
+debug-mode = on
+
+
+
+###############################################################################
+# Internals
+
+#deal include base path
+D = ../../../..
+
+include $D/common/Make.global_options
+
+# get lists of files we need
+
+
+# list of libraries needed to link with
+libs = -ldeal_II_2d -llac -lbase
+libs.g = -ldeal_II_2d.g -llac.g -lbase.g
+
+
+# check whether we use debug mode or not
+ifeq ($(debug-mode),on)
+ libraries = $(target).go $(libs.g)
+ flags = $(CXXFLAGS.g)
+else
+ libraries = $(target).go $(libs)
+ flags = $(CXXFLAGS.o)
+endif
+
+
+
+# make rule for the target. $^ is the object file $(target).g?o
+$(target) : $(libraries)
+ @echo ============================ Linking $@
+ @$(CXX) $(flags) -o $@ $^
+
+# rule how to run the program
+run: $(target)
+ @echo ============================ Running $@
+ @./$(target)
+
+
+# rule to make object files
+%.go : %.cc
+ @echo ============================ Compiling with debugging information: $<
+ @$(CXX) $(CXXFLAGS.g) -c $< -o $@
+%.o : %.cc
+ @echo ============================ Compiling with optimization: $<
+ @$(CXX) $(CXXFLAGS) -c $< -o $@
+
+
+clean:
+ -rm -f *.o *.go *~ Makefile.dep $(target) *gmv *gnuplot *gpl *eps
+
+
+
+.PHONY: clean
+
+
+# Rule to generate the dependency file. This file is
+# automagically remade whenever needed, i.e. whenever
+# one of the cc-/h-files changed. Make detects whether
+# to remake this file upon inclusion at the bottom
+# of this file.
+#
+# Since the script prefixes the output names by lib/g?o, we have to
+# strip that again (the script was written for the main libraries and
+# large projects where object files are put into subdirs)
+Makefile.dep: $(target).cc Makefile \
+ $(shell echo $D/base/include/base/*.h \
+ $D/lac/include/lac/*.h \
+ $D/deal.II/include/*/*.h)
+ @echo ============================ Remaking Makefile
+ @perl $D/common/scripts/make_dependencies.pl $(INCLUDE) $(target).cc \
+ | perl -pi -e 's!lib/g?o/!!g;' \
+ > Makefile.dep
+
+
+include Makefile.dep
+
--- /dev/null
+/* $Id$ */
+/* Author: Wolfgang Bangerth, University of Heidelberg, 2000 */
+
+
+ // still unfinished
+#include <base/quadrature_lib.h>
+#include <base/function.h>
+#include <base/logstream.h>
+#include <lac/vector.h>
+#include <lac/full_matrix.h>
+#include <lac/sparse_matrix.h>
+#include <lac/solver_cg.h>
+#include <lac/vector_memory.h>
+#include <lac/precondition.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 <dofs/dof_tools.h>
+#include <fe/fe_lib.lagrange.h>
+#include <fe/fe_values.h>
+#include <numerics/vectors.h>
+#include <numerics/matrices.h>
+#include <numerics/data_out.h>
+
+ // out statt in
+#include <grid/grid_out.h>
+
+#include <grid/tria_boundary_lib.h>
+
+ //...
+#include <dofs/dof_constraints.h>
+#include <numerics/error_estimator.h>
+
+#include <fstream>
+
+
+
+template <int dim>
+class LaplaceProblem
+{
+ public:
+ LaplaceProblem ();
+ void run ();
+
+ private:
+ void setup_system ();
+ void assemble_system ();
+ void solve ();
+ void refine_grid ();
+ void output_results (const unsigned int cycle) const;
+
+ Triangulation<dim> triangulation;
+ FEQ1<dim> fe;
+ DoFHandler<dim> dof_handler;
+
+ ConstraintMatrix hanging_node_constraints;
+
+ SparseMatrixStruct sparsity_pattern;
+ SparseMatrix<double> system_matrix;
+
+ Vector<double> solution;
+ Vector<double> system_rhs;
+};
+
+
+
+template <int dim>
+class Coefficient : public Function<dim>
+{
+ public:
+ virtual double value (const Point<dim> &p,
+ const unsigned int component = 0) const;
+
+ virtual void value_list (const vector<Point<dim> > &points,
+ vector<double> &values,
+ const unsigned int component = 0) const;
+};
+
+
+
+template <int dim>
+double Coefficient<dim>::value (const Point<dim> &p,
+ const unsigned int) const
+{
+ if (p.square() < 0.5*0.5)
+ return 20;
+ else
+ return 1;
+};
+
+
+
+template <int dim>
+void Coefficient<dim>::value_list (const vector<Point<dim> > &points,
+ vector<double> &values,
+ const unsigned int component) const
+{
+ const unsigned int n_points = points.size();
+
+ Assert (values.size() == n_points,
+ ExcVectorHasWrongSize (values.size(), n_points));
+
+ Assert (component == 0,
+ ExcWrongComponent (component, 1));
+
+ for (unsigned int i=0; i<n_points; ++i)
+ {
+ if (points[i].square() < 0.5*0.5)
+ values[i] = 20;
+ else
+ values[i] = 1;
+ };
+};
+
+
+template <int dim>
+LaplaceProblem<dim>::LaplaceProblem () :
+ dof_handler (triangulation)
+{};
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::setup_system ()
+{
+ dof_handler.distribute_dofs (fe);
+
+ //...
+ hanging_node_constraints.clear ();
+ DoFTools::make_hanging_node_constraints (dof_handler,
+ hanging_node_constraints);
+ hanging_node_constraints.close ();
+
+ 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);
+
+ //...
+ hanging_node_constraints.condense (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 ()
+{
+ const Coefficient<dim> coefficient;
+
+ QGauss3<dim> quadrature_formula;
+
+ FEValues<dim> fe_values (fe, quadrature_formula,
+ UpdateFlags(update_values |
+ update_gradients |
+ update_q_points |
+ update_JxW_values));
+
+ const unsigned int dofs_per_cell = fe.dofs_per_cell;
+ const unsigned int n_q_points = quadrature_formula.n_quadrature_points;
+
+ FullMatrix<double> cell_matrix (dofs_per_cell, dofs_per_cell);
+ Vector<double> cell_rhs (dofs_per_cell);
+
+ vector<int> local_dof_indices (dofs_per_cell);
+
+ vector<double> coefficient_values (n_q_points);
+
+ DoFHandler<dim>::active_cell_iterator cell = dof_handler.begin_active(),
+ endc = dof_handler.end();
+ for (; cell!=endc; ++cell)
+ {
+ cell_matrix.clear ();
+ cell_rhs.clear ();
+
+ fe_values.reinit (cell);
+ const FullMatrix<double>
+ & shape_values = fe_values.get_shape_values();
+ const vector<vector<Tensor<1,dim> > >
+ & shape_grads = fe_values.get_shape_grads();
+ const vector<double>
+ & JxW_values = fe_values.get_JxW_values();
+ const vector<Point<dim> >
+ & q_points = fe_values.get_quadrature_points();
+
+ coefficient.value_list (q_points, coefficient_values);
+
+ for (unsigned int q_point=0; q_point<n_q_points; ++q_point)
+ for (unsigned int i=0; i<dofs_per_cell; ++i)
+ {
+ for (unsigned int j=0; j<dofs_per_cell; ++j)
+ cell_matrix(i,j) += (coefficient_values[q_point] *
+ (shape_grads[i][q_point] *
+ shape_grads[j][q_point]) *
+ JxW_values[q_point]);
+
+ cell_rhs(i) += (shape_values (i,q_point) *
+ 1.0 *
+ 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));
+
+ system_rhs(local_dof_indices[i]) += cell_rhs(i);
+ };
+ };
+
+ map<int,double> boundary_values;
+ VectorTools::interpolate_boundary_values (dof_handler,
+ 0,
+ ZeroFunction<dim>(),
+ boundary_values);
+ MatrixTools<dim>::apply_boundary_values (boundary_values,
+ system_matrix,
+ solution,
+ system_rhs);
+
+ hanging_node_constraints.condense (system_matrix);
+ hanging_node_constraints.condense (system_rhs);
+};
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::solve ()
+{
+ SolverControl solver_control (1000, 1e-12);
+ PrimitiveVectorMemory<> vector_memory;
+ SolverCG<> cg (solver_control, vector_memory);
+
+ PreconditionRelaxation<>
+ preconditioner(system_matrix,
+ &SparseMatrix<double>::template precondition_SSOR<double>,
+ 1.2);
+
+ cg.solve (system_matrix, solution, system_rhs,
+ preconditioner);
+
+ hanging_node_constraints.distribute (solution);
+};
+
+
+ //...
+template <int dim>
+void LaplaceProblem<dim>::refine_grid ()
+{
+ Vector<float> estimated_error_per_cell (triangulation.n_active_cells());
+
+ KellyErrorEstimator<dim>::FunctionMap neumann_boundary;
+ KellyErrorEstimator<dim>::estimate (dof_handler,
+ QGauss3<dim-1>(),
+ neumann_boundary,
+ solution,
+ estimated_error_per_cell);
+
+ triangulation.refine_and_coarsen_fixed_number (estimated_error_per_cell,
+ 0.3, 0.03);
+ triangulation.execute_coarsening_and_refinement ();
+};
+
+template <int dim>
+void LaplaceProblem<dim>::output_results (const unsigned int cycle) const
+{
+ // ...
+ string filename = "grid-";
+ filename += ('0' + cycle);
+ Assert (cycle < 10, ExcInternalError());
+
+ filename += ".eps";
+ ofstream output (filename.c_str());
+
+ GridOut grid_out;
+ grid_out.write_eps (triangulation, output);
+};
+
+
+
+template <int dim>
+void LaplaceProblem<dim>::run ()
+{
+ for (unsigned int cycle=0; cycle<8; ++cycle)
+ {
+ cout << "Cycle " << cycle << ':' << endl;
+
+ if (cycle == 0)
+ {
+ //...
+ GridGenerator::hyper_ball (triangulation);
+
+ static const HyperBallBoundary<dim> boundary;
+ triangulation.set_boundary (0, boundary);
+
+ triangulation.refine_global (1);
+ }
+ else
+ // ...
+ refine_grid ();
+
+ cout << " Number of active cells: "
+ << triangulation.n_active_cells()
+ << endl;
+
+ setup_system ();
+ assemble_system ();
+ solve ();
+ output_results (cycle);
+ };
+
+ DataOut<dim>::EpsFlags eps_flags;
+ eps_flags.z_scaling = 4;
+
+ DataOut<dim> data_out;
+ data_out.set_flags (eps_flags);
+
+ data_out.attach_dof_handler (dof_handler);
+ data_out.add_data_vector (solution, "solution");
+ data_out.build_patches ();
+
+ ofstream output ("final-solution.eps");
+ data_out.write_eps (output);
+};
+
+
+
+int main ()
+{
+ deallog.depth_console (0);
+
+ LaplaceProblem<2> laplace_problem_2d;
+ laplace_problem_2d.run ();
+
+ return 0;
+};