polynomials_bdm.h

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//
// Copyright (C) 2004 - 2020 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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#ifndef dealii_polynomials_BDM_h
#define dealii_polynomials_BDM_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/thread_management.h>
 
#include <vector>
 
DEAL_II_NAMESPACE_OPEN
 
template <int dim>
class PolynomialsBDM : public TensorPolynomialsBase<dim>
{
public:
  PolynomialsBDM(const unsigned int k);
 
  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 PolynomialSpace<dim> polynomial_space;
 
  std::vector<Polynomials::Polynomial<double>> monomials;
 
  mutable Threads::Mutex mutex;
 
  mutable std::vector<double> p_values;
 
  mutable std::vector<Tensor<1, dim>> p_grads;
 
  mutable std::vector<Tensor<2, dim>> p_grad_grads;
 
  mutable std::vector<Tensor<3, dim>> p_third_derivatives;
 
  mutable std::vector<Tensor<4, dim>> p_fourth_derivatives;
};
 
 
template <int dim>
inline std::string
PolynomialsBDM<dim>::name() const
{
  return "BDM";
}
 
 
DEAL_II_NAMESPACE_CLOSE
 
#endif