fe_q_bubbles.h

// ---------------------------------------------------------------------
//
// Copyright (C) 2012 - 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.md at
// the top level directory of deal.II.
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#ifndef dealii_fe_q_bubbles_h
#define dealii_fe_q_bubbles_h

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

#include <deal.II/base/tensor_product_polynomials_bubbles.h>

#include <deal.II/fe/fe_q_base.h>

DEAL_II_NAMESPACE_OPEN



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

  FE_Q_Bubbles(const Quadrature<1> &points);

  virtual std::string
  get_name() const override;

  // documentation inherited from the base class
  virtual void
  convert_generalized_support_point_values_to_dof_values(
    const std::vector<Vector<double>> &support_point_values,
    std::vector<double> &              nodal_values) const override;

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

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

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

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

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

  virtual FiniteElementDomination::Domination
  compare_for_domination(const FiniteElement<dim, spacedim> &fe_other,
                         const unsigned int codim = 0) const override final;

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

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

  const unsigned int n_bubbles;
};



DEAL_II_NAMESPACE_CLOSE

#endif