polynomials_raviart_thomas.h

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//
// Copyright (C) 2004 - 2021 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
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// the top level directory of deal.II.
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#ifndef dealii_polynomials_raviart_thomas_h
#define dealii_polynomials_raviart_thomas_h
 
 
#include <deal.II/base/config.h>
 
#include <deal.II/base/exceptions.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 <mutex>
#include <vector>
 
 
DEAL_II_NAMESPACE_OPEN
 
template <int dim>
class PolynomialsRaviartThomas : public TensorPolynomialsBase<dim>
{
public:
  PolynomialsRaviartThomas(const unsigned int k);
 
  PolynomialsRaviartThomas(const PolynomialsRaviartThomas &other);
 
  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;
 
  std::string
  name() const override;
 
  static unsigned int
  n_polynomials(const unsigned int degree);
 
  virtual std::unique_ptr<TensorPolynomialsBase<dim>>
  clone() const override;
 
private:
  const AnisotropicPolynomials<dim> polynomial_space;
 
  static std::vector<std::vector<Polynomials::Polynomial<double>>>
  create_polynomials(const unsigned int k);
 
  mutable std::mutex scratch_arrays_mutex;
 
  mutable std::vector<double>         scratch_values;
  mutable std::vector<Tensor<1, dim>> scratch_grads;
  mutable std::vector<Tensor<2, dim>> scratch_grad_grads;
  mutable std::vector<Tensor<3, dim>> scratch_third_derivatives;
  mutable std::vector<Tensor<4, dim>> scratch_fourth_derivatives;
};
 
 
 
template <int dim>
inline std::string
PolynomialsRaviartThomas<dim>::name() const
{
  return "RaviartThomas";
}
 
 
DEAL_II_NAMESPACE_CLOSE
 
#endif