polynomials_bernardi_raugel.h

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//
// Copyright (C) 2004 - 2019 by the deal.II authors
//
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#ifndef dealii_polynomials_bernardi_raugel_h
#define dealii_polynomials_bernardi_raugel_h

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

#include <vector>

DEAL_II_NAMESPACE_OPEN


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

  std::string
  name() const override;

  void
  evaluate(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 override;

  static unsigned int
  n_polynomials(const unsigned int k);

  virtual std::unique_ptr<TensorPolynomialsBase<dim>>
  clone() const override;

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


DEAL_II_NAMESPACE_CLOSE

#endif