polynomials_bernardi_raugel.h

// ---------------------------------------------------------------------
//
// Copyright (C) 2004 - 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.
//
// ---------------------------------------------------------------------


#ifndef dealii_polynomials_bernardi_raugel_h
#define dealii_polynomials_bernardi_raugel_h

#include <deal.II/base/geometry_info.h>
#include <deal.II/base/point.h>
#include <deal.II/base/polynomial.h>
#include <deal.II/base/polynomial_space.h>
#include <deal.II/base/tensor.h>
#include <deal.II/base/tensor_product_polynomials.h>

#include <vector>

DEAL_II_NAMESPACE_OPEN


template <int dim>
class PolynomialsBernardiRaugel
{
public:
  PolynomialsBernardiRaugel(const unsigned int k);

  unsigned int
  n() const;


  unsigned int
  degree() const;

  std::string
  name() const;

  void
  compute(const Point<dim> &           unit_point,
          std::vector<Tensor<1, dim>> &values,
          std::vector<Tensor<2, dim>> &grads,
          std::vector<Tensor<3, dim>> &grad_grads,
          std::vector<Tensor<4, dim>> &third_derivatives,
          std::vector<Tensor<5, dim>> &fourth_derivatives) const;

  static unsigned int
  compute_n_pols(const unsigned int k);

private:
  const unsigned int my_degree;

  const unsigned int n_pols;

  const AnisotropicPolynomials<dim> polynomial_space_Q;

  const AnisotropicPolynomials<dim> polynomial_space_bubble;

  static std::vector<std::vector<Polynomials::Polynomial<double>>>
  create_polynomials_Q();

  static std::vector<std::vector<Polynomials::Polynomial<double>>>
  create_polynomials_bubble();
};


template <int dim>
inline unsigned int
PolynomialsBernardiRaugel<dim>::n() const
{
  return n_pols;
}



template <int dim>
inline unsigned int
PolynomialsBernardiRaugel<dim>::degree() const
{
  return 2;
}



template <int dim>
inline std::string
PolynomialsBernardiRaugel<dim>::name() const
{
  return "BernardiRaugel";
}


DEAL_II_NAMESPACE_CLOSE

#endif