fe_q_hierarchical.h

// ---------------------------------------------------------------------
//
// Copyright (C) 2002 - 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_q_hierarchical_h
#define dealii__fe_q_hierarchical_h

#include <deal.II/base/config.h>
#include <deal.II/base/tensor_product_polynomials.h>
#include <deal.II/fe/fe_poly.h>

DEAL_II_NAMESPACE_OPEN

template <int dim, int spacedim> class MappingQ;



template <int dim>
class FE_Q_Hierarchical : public FE_Poly<TensorProductPolynomials<dim>,dim>
{
public:
  FE_Q_Hierarchical (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 bool hp_constraints_are_implemented () const;

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

  virtual const
  FullMatrix<double> &get_prolongation_matrix  (const unsigned int child,
                                                const RefinementCase<dim> &refinement_case = RefinementCase< dim >::isotropic_refinement) 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 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
  FiniteElementDomination::Domination
  compare_for_face_domination (const FiniteElement<dim> &fe_other) const;

  virtual std::size_t memory_consumption () const;

  std::vector<unsigned int> get_embedding_dofs (const unsigned int sub_degree) const;

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


protected:
  virtual FiniteElement<dim> *clone() const;

private:

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

  static
  std::vector<unsigned int> hierarchic_to_fe_q_hierarchical_numbering (
    const FiniteElementData<dim> &fe);

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

  void build_dofs_cell (std::vector<FullMatrix<double> > &dofs_cell,
                        std::vector<FullMatrix<double> > &dofs_subcell) const;

  void initialize_constraints (const std::vector<FullMatrix<double> > &dofs_subcell);

  void initialize_embedding_and_restriction (const std::vector<FullMatrix<double> > &dofs_cell,
                                             const std::vector<FullMatrix<double> > &dofs_subcell);

  void initialize_unit_support_points ();

  void initialize_unit_face_support_points ();

  const std::vector<unsigned int> face_renumber;

  template <int dim1> friend class FE_Q_Hierarchical;
};

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

template <>
void FE_Q_Hierarchical<1>::initialize_unit_face_support_points ();

template <>
bool
FE_Q_Hierarchical<1>::has_support_on_face (const unsigned int,
                                           const unsigned int) const;

template <>
std::vector<unsigned int>
FE_Q_Hierarchical<1>::face_fe_q_hierarchical_to_hierarchic_numbering (const unsigned int);

DEAL_II_NAMESPACE_CLOSE

#endif