Reference documentation for deal.II version 9.5.0
Searching...
No Matches
polynomials_pyramid.h
Go to the documentation of this file.
1// ---------------------------------------------------------------------
2//
3// Copyright (C) 2020 - 2022 by the deal.II authors
4//
5// This file is part of the deal.II library.
6//
7// The deal.II library is free software; you can use it, redistribute
8// it, and/or modify it under the terms of the GNU Lesser General
10// version 2.1 of the License, or (at your option) any later version.
11// The full text of the license can be found in the file LICENSE.md at
12// the top level directory of deal.II.
13//
14// ---------------------------------------------------------------------
15
16
17#ifndef dealii_polynomials_pyramid_h
18#define dealii_polynomials_pyramid_h
19
20#include <deal.II/base/config.h>
21
23
25
30template <int dim>
32{
33public:
37 static constexpr unsigned int dimension = dim;
38
39 /*
40 * Constructor taking the polynomial @p degree as input.
41 *
42 * @note Currently, only linear polynomials (degree=1) are implemented.
43 */
44 ScalarLagrangePolynomialPyramid(const unsigned int degree);
45
51 void
52 evaluate(const Point<dim> & unit_point,
53 std::vector<double> & values,
56 std::vector<Tensor<3, dim>> &third_derivatives,
57 std::vector<Tensor<4, dim>> &fourth_derivatives) const override;
58
59 double
60 compute_value(const unsigned int i, const Point<dim> &p) const override;
61
67 template <int order>
69 compute_derivative(const unsigned int i, const Point<dim> &p) const;
70
72 compute_1st_derivative(const unsigned int i,
73 const Point<dim> & p) const override;
74
76 compute_2nd_derivative(const unsigned int i,
77 const Point<dim> & p) const override;
78
85 compute_3rd_derivative(const unsigned int i,
86 const Point<dim> & p) const override;
87
94 compute_4th_derivative(const unsigned int i,
95 const Point<dim> & p) const override;
96
103 compute_grad(const unsigned int i, const Point<dim> &p) const override;
104
112
113 std::string
114 name() const override;
115
116 virtual std::unique_ptr<ScalarPolynomialsBase<dim>>
117 clone() const override;
118};
119
120
121
122template <int dim>
123template <int order>
126 const unsigned int i,
127 const Point<dim> & p) const
128{
130
131 Assert(order == 1, ExcNotImplemented());
133
134 for (unsigned int i = 0; i < dim; ++i)
136
137 return der;
138}
139
141
142#endif
Definition point.h:112
Tensor< 2, dim > compute_grad_grad(const unsigned int i, const Point< dim > &p) const override
Tensor< 4, dim > compute_4th_derivative(const unsigned int i, const Point< dim > &p) const override
Tensor< 1, dim > compute_grad(const unsigned int i, const Point< dim > &p) const override
Tensor< 1, dim > compute_1st_derivative(const unsigned int i, const Point< dim > &p) const override
Tensor< order, dim > compute_derivative(const unsigned int i, const Point< dim > &p) const
Tensor< 3, dim > compute_3rd_derivative(const unsigned int i, const Point< dim > &p) const override
double compute_value(const unsigned int i, const Point< dim > &p) const override
static constexpr unsigned int dimension
virtual std::unique_ptr< ScalarPolynomialsBase< dim > > clone() const override
Tensor< 2, dim > compute_2nd_derivative(const unsigned int i, const Point< dim > &p) const override
std::string name() const override
void evaluate(const Point< dim > &unit_point, std::vector< double > &values, std::vector< Tensor< 1, dim > > &grads, std::vector< Tensor< 2, dim > > &grad_grads, std::vector< Tensor< 3, dim > > &third_derivatives, std::vector< Tensor< 4, dim > > &fourth_derivatives) const override
virtual unsigned int degree() const
#define DEAL_II_NAMESPACE_OPEN
Definition config.h:472
#define DEAL_II_NAMESPACE_CLOSE
Definition config.h:473
static ::ExceptionBase & ExcNotImplemented()
#define Assert(cond, exc)