fe_dg_vector.h

// ---------------------------------------------------------------------
//
// Copyright (C) 2010 - 2016 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_dg_vector_h
#define dealii__fe_dg_vector_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/polynomials_nedelec.h>
#include <deal.II/base/polynomials_bdm.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 <class PolynomialType, int dim, int spacedim=dim>
class FE_DGVector
  :
  public FE_PolyTensor<PolynomialType, dim, spacedim>
{
public:
  FE_DGVector (const unsigned int p, MappingType m);
public:

  FiniteElement<dim, spacedim> *clone() const;

  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::size_t memory_consumption () const;

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

  void initialize_support_points (const unsigned int degree);

  void initialize_restriction ();

  class InternalData : public FiniteElement<dim>::InternalDataBase
  {
  public:
    std::vector<std::vector<Tensor<1,dim> > > shape_values;

    std::vector<std::vector<Tensor<2,dim> > > shape_gradients;
  };
  Table<3, double> interior_weights;
};



template <int dim, int spacedim=dim>
class FE_DGNedelec : public FE_DGVector<PolynomialsNedelec<dim>, dim, spacedim>
{
public:
  FE_DGNedelec (const unsigned int p);

  virtual std::string get_name () const;
};



template <int dim, int spacedim=dim>
class FE_DGRaviartThomas : public FE_DGVector<PolynomialsRaviartThomas<dim>, dim, spacedim>
{
public:
  FE_DGRaviartThomas (const unsigned int p);

  virtual std::string get_name () const;
};



template <int dim, int spacedim=dim>
class FE_DGBDM : public FE_DGVector<PolynomialsBDM<dim>, dim, spacedim>
{
public:
  FE_DGBDM (const unsigned int p);

  virtual std::string get_name () const;
};


DEAL_II_NAMESPACE_CLOSE

#endif