fe_raviart_thomas.h

// ---------------------------------------------------------------------
//
// Copyright (C) 2003 - 2015 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 at
// the top level of the deal.II distribution.
//
// ---------------------------------------------------------------------

#ifndef dealii__fe_raviart_thomas_h
#define dealii__fe_raviart_thomas_h

#include <deal.II/base/config.h>
#include <deal.II/base/table.h>
#include <deal.II/base/polynomials_raviart_thomas.h>
#include <deal.II/base/polynomial.h>
#include <deal.II/base/tensor_product_polynomials.h>
#include <deal.II/base/geometry_info.h>
#include <deal.II/fe/fe.h>
#include <deal.II/fe/fe_poly_tensor.h>

#include <vector>

DEAL_II_NAMESPACE_OPEN

template <int dim, int spacedim> class MappingQ;



template <int dim>
class FE_RaviartThomas
  :
  public FE_PolyTensor<PolynomialsRaviartThomas<dim>, dim>
{
public:
  FE_RaviartThomas (const unsigned int p);

  virtual std::string get_name () const;


  virtual bool has_support_on_face (const unsigned int shape_index,
                                    const unsigned int face_index) const;

  virtual void interpolate(std::vector<double>                &local_dofs,
                           const std::vector<double> &values) const;
  virtual void interpolate(std::vector<double>                &local_dofs,
                           const std::vector<Vector<double> > &values,
                           unsigned int offset = 0) const;
  virtual void interpolate(
    std::vector<double> &local_dofs,
    const VectorSlice<const std::vector<std::vector<double> > > &values) const;

  virtual std::pair<Table<2,bool>, std::vector<unsigned int> >
  get_constant_modes () const;

  virtual std::size_t memory_consumption () const;
  virtual FiniteElement<dim> *clone() const;

private:
  static std::vector<unsigned int>
  get_dpo_vector (const unsigned int degree);

  void initialize_support_points (const unsigned int rt_degree);

  void initialize_restriction ();

  Table<2, double> boundary_weights;

  Table<3, double> interior_weights;

  template <int dim1> friend class FE_RaviartThomas;
};



template <int dim>
class FE_RaviartThomasNodal
  :
  public FE_PolyTensor<PolynomialsRaviartThomas<dim>, dim>
{
public:
  FE_RaviartThomasNodal (const unsigned int p);

  virtual std::string get_name () const;

  virtual FiniteElement<dim> *clone () const;

  virtual void interpolate(std::vector<double>                &local_dofs,
                           const std::vector<double> &values) const;
  virtual void interpolate(std::vector<double>                &local_dofs,
                           const std::vector<Vector<double> > &values,
                           unsigned int offset = 0) const;
  virtual void interpolate(
    std::vector<double> &local_dofs,
    const VectorSlice<const std::vector<std::vector<double> > > &values) const;


  virtual void get_face_interpolation_matrix (const FiniteElement<dim> &source,
                                              FullMatrix<double>       &matrix) const;

  virtual void get_subface_interpolation_matrix (const FiniteElement<dim> &source,
                                                 const unsigned int        subface,
                                                 FullMatrix<double>       &matrix) const;
  virtual bool hp_constraints_are_implemented () const;

  virtual std::vector<std::pair<unsigned int, unsigned int> >
  hp_vertex_dof_identities (const FiniteElement<dim> &fe_other) const;

  virtual std::vector<std::pair<unsigned int, unsigned int> >
  hp_line_dof_identities (const FiniteElement<dim> &fe_other) const;

  virtual std::vector<std::pair<unsigned int, unsigned int> >
  hp_quad_dof_identities (const FiniteElement<dim> &fe_other) const;

  virtual FiniteElementDomination::Domination
  compare_for_face_domination (const FiniteElement<dim> &fe_other) const;

private:
  static std::vector<unsigned int>
  get_dpo_vector (const unsigned int degree);

  static std::vector<bool>
  get_ria_vector (const unsigned int degree);

  virtual bool has_support_on_face (const unsigned int shape_index,
                                    const unsigned int face_index) const;
  void initialize_support_points (const unsigned int rt_degree);
};


/* -------------- declaration of explicit specializations ------------- */

#ifndef DOXYGEN

template <>
void
FE_RaviartThomas<1>::initialize_restriction();

#endif // DOXYGEN

DEAL_II_NAMESPACE_CLOSE

#endif