solution.cc File Reference

Defines the templated Solution class: a vector-valued analytic function used as a manufactured solution to test the saddle-point system. More...

#include <deal.II/base/quadrature_lib.h>
#include <deal.II/base/function.h>
#include <deal.II/lac/full_matrix.h>
#include <deal.II/lac/vector.h>
#include <deal.II/lac/solver_control.h>
#include <deal.II/lac/solver_cg.h>
#include <deal.II/lac/precondition.h>
#include <deal.II/lac/sparse_matrix.h>
#include <deal.II/lac/dynamic_sparsity_pattern.h>
#include <deal.II/grid/tria.h>
#include <deal.II/grid/manifold_lib.h>
#include <deal.II/grid/grid_generator.h>
#include <deal.II/dofs/dof_handler.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/fe/mapping_q.h>
#include <deal.II/numerics/data_out.h>
#include <deal.II/numerics/vector_tools.h>
#include <deal.II/numerics/matrix_tools.h>
#include <fstream>
#include <iostream>

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Classes
class	Solution< dim, n_equations >
	Vector-valued manufactured solution used by the saddle-point program. More...

Detailed Description

Defines the templated Solution class: a vector-valued analytic function used as a manufactured solution to test the saddle-point system.

The Solution class derives from dealii::Function<dim> with n_equations components, so it can be used directly with deal.II routines such as VectorTools::interpolate_boundary_values and VectorTools::integrate_difference. Several test cases are present inside the implementation; only one is uncommented at a time. See the Introduction page for the corresponding mathematical description.