fe_nothing.h

// ---------------------------------------------------------------------
//
// Copyright (C) 2009 - 2018 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_nothing_h
#define dealii_fe_nothing_h

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

DEAL_II_NAMESPACE_OPEN



template <int dim, int spacedim=dim>
class FE_Nothing : public FiniteElement<dim,spacedim>
{
public:

  FE_Nothing (const unsigned int n_components = 1,
              const bool dominate = false);

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

  virtual
  std::string
  get_name() const override;

  // for documentation, see the FiniteElement base class
  virtual
  UpdateFlags
  requires_update_flags (const UpdateFlags update_flags) const override;

  virtual
  double
  shape_value (const unsigned int i, const Point<dim> &p) const override;

  virtual
  void
  fill_fe_values (const typename Triangulation<dim,spacedim>::cell_iterator           &cell,
                  const CellSimilarity::Similarity                                     cell_similarity,
                  const Quadrature<dim>                                               &quadrature,
                  const Mapping<dim,spacedim>                                         &mapping,
                  const typename Mapping<dim,spacedim>::InternalDataBase              &mapping_internal,
                  const ::internal::FEValuesImplementation::MappingRelatedData<dim, spacedim> &mapping_data,
                  const typename FiniteElement<dim,spacedim>::InternalDataBase        &fe_internal,
                  ::internal::FEValuesImplementation::FiniteElementRelatedData<dim, spacedim> &output_data) const override;

  virtual
  void
  fill_fe_face_values (const typename Triangulation<dim,spacedim>::cell_iterator           &cell,
                       const unsigned int                                                   face_no,
                       const Quadrature<dim-1>                                             &quadrature,
                       const Mapping<dim,spacedim>                                         &mapping,
                       const typename Mapping<dim,spacedim>::InternalDataBase              &mapping_internal,
                       const ::internal::FEValuesImplementation::MappingRelatedData<dim, spacedim> &mapping_data,
                       const typename FiniteElement<dim,spacedim>::InternalDataBase        &fe_internal,
                       ::internal::FEValuesImplementation::FiniteElementRelatedData<dim, spacedim> &output_data) const override;

  virtual
  void
  fill_fe_subface_values (const typename Triangulation<dim,spacedim>::cell_iterator           &cell,
                          const unsigned int                                                   face_no,
                          const unsigned int                                                   sub_no,
                          const Quadrature<dim-1>                                             &quadrature,
                          const Mapping<dim,spacedim>                                         &mapping,
                          const typename Mapping<dim,spacedim>::InternalDataBase              &mapping_internal,
                          const ::internal::FEValuesImplementation::MappingRelatedData<dim, spacedim> &mapping_data,
                          const typename FiniteElement<dim,spacedim>::InternalDataBase        &fe_internal,
                          ::internal::FEValuesImplementation::FiniteElementRelatedData<dim, spacedim> &output_data) const override;

  virtual
  std::unique_ptr<typename FiniteElement<dim,spacedim>::InternalDataBase>
  get_data (const UpdateFlags                                                    update_flags,
            const Mapping<dim,spacedim>                                         &mapping,
            const Quadrature<dim>                                               &quadrature,
            ::internal::FEValuesImplementation::FiniteElementRelatedData<dim, spacedim> &output_data) const override;

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



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

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

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

  virtual
  bool
  hp_constraints_are_implemented () const override;

  virtual
  void
  get_interpolation_matrix (const FiniteElement<dim,spacedim> &source_fe,
                            FullMatrix<double>       &interpolation_matrix) const override;

  virtual
  void
  get_face_interpolation_matrix (const FiniteElement<dim,spacedim> &source_fe,
                                 FullMatrix<double>       &interpolation_matrix) const override;


  virtual
  void
  get_subface_interpolation_matrix (const FiniteElement<dim,spacedim> &source_fe,
                                    const unsigned int index,
                                    FullMatrix<double>  &interpolation_matrix) const override;

  bool is_dominating() const;

  virtual
  bool operator == (const FiniteElement<dim,spacedim> &fe) const override;

private:

  const bool dominate;
};


DEAL_II_NAMESPACE_CLOSE

#endif