fe_bernstein.h

// ---------------------------------------------------------------------
//
// Copyright (C) 2000 - 2017 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_bernstein_h
#define dealii_fe_bernstein_h

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

DEAL_II_NAMESPACE_OPEN



template <int dim, int spacedim=dim>
class FE_Bernstein : public FE_Q_Base<TensorProductPolynomials<dim>,dim,spacedim>
{
public:
  FE_Bernstein (const unsigned int p);

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

  virtual const FullMatrix<double> &
  get_restriction_matrix (const unsigned int child,
                          const RefinementCase<dim> &refinement_case=RefinementCase<dim>::isotropic_refinement) const;

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

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

  virtual void
  get_subface_interpolation_matrix (const FiniteElement<dim,spacedim> &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,spacedim> &fe_other) const;

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

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

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


  virtual std::string get_name () const;

  virtual
  std::unique_ptr<FiniteElement<dim,spacedim> >
  clone() const;

protected:

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

  TensorProductPolynomials<dim> renumber_bases(const unsigned int degree);
};



DEAL_II_NAMESPACE_CLOSE

#endif