#include <deal.II/base/polynomials_pyramid.h>

Inheritance diagram for ScalarLagrangePolynomialPyramid< dim >:

Public Member Functions
	ScalarLagrangePolynomialPyramid (const unsigned int degree)

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

double	compute_value (const unsigned int i, const Point< dim > &p) const override

template<int order>
Tensor< order, dim >	compute_derivative (const unsigned int i, const Point< dim > &p) const

Tensor< 1, dim >	compute_1st_derivative (const unsigned int i, const Point< dim > &p) const override

Tensor< 2, dim >	compute_2nd_derivative (const unsigned int i, const Point< dim > &p) const override

Tensor< 3, dim >	compute_3rd_derivative (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< 2, dim >	compute_grad_grad (const unsigned int i, const Point< dim > &p) const override

std::string	name () const override

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

unsigned int	n () const

virtual unsigned int	degree () const

virtual std::size_t	memory_consumption () const

Static Public Attributes
static const unsigned int	dimension = dim

Private Attributes
const unsigned int	polynomial_degree

const unsigned int	n_pols

Detailed Description

template<int dim>
class ScalarLagrangePolynomialPyramid< dim >

A namespace for functions and classes that provide support for simplex reference cell entities, i.e., triangles and tetrahedrons. Polynomials defined on pyramid entities. This class is basis of FE_PyramidP.

Definition at line 37 of file polynomials_pyramid.h.

Constructor & Destructor Documentation

◆ ScalarLagrangePolynomialPyramid()

template<int dim>

ScalarLagrangePolynomialPyramid< dim >::ScalarLagrangePolynomialPyramid ( const unsigned int degree )

Definition at line 43 of file polynomials_pyramid.cc.

Member Function Documentation

◆ evaluate()

template<int dim>

void ScalarLagrangePolynomialPyramid< dim >::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

overridevirtual

Compute the value and the derivatives of the polynomials at unit_point.

The size of the vectors must either be zero or equal n(). In the first case, the function will not compute these values.

If you need values or derivatives of all polynomials then use this function, rather than using any of the compute_value, compute_grad or compute_grad_grad functions, see below, in a loop over all tensor product polynomials.

Note: Currently, only the vectors values and grads are filled.

Implements ScalarPolynomialsBase< dim >.

Definition at line 182 of file polynomials_pyramid.cc.

◆ compute_value()

template<int dim>

double ScalarLagrangePolynomialPyramid< dim >::compute_value	(	const unsigned int	i,
		const Point< dim > &	p
	)		const

overridevirtual

Compute the value of the ith polynomial at unit point p.

Consider using evaluate() instead.

Implements ScalarPolynomialsBase< dim >.

Definition at line 52 of file polynomials_pyramid.cc.

◆ compute_derivative()

template<int dim>

template<int order>

Tensor< order, dim > ScalarLagrangePolynomialPyramid< dim >::compute_derivative	(	const unsigned int	i,
		const Point< dim > &	p
	)		const

Compute the orderth derivative of the ith polynomial at unit point p.

Consider using evaluate() instead.

Template Parameters

order The order of the derivative.

Note: Currently, only implemented for first derivative.

Definition at line 131 of file polynomials_pyramid.h.

◆ compute_1st_derivative()

template<int dim>

Tensor< 1, dim > ScalarLagrangePolynomialPyramid< dim >::compute_1st_derivative	(	const unsigned int	i,
		const Point< dim > &	p
	)		const

overridevirtual

Compute the first derivative of the ith polynomial at unit point p.

Consider using evaluate() instead.

Implements ScalarPolynomialsBase< dim >.

Definition at line 208 of file polynomials_pyramid.cc.

◆ compute_2nd_derivative()

template<int dim>

Tensor< 2, dim > ScalarLagrangePolynomialPyramid< dim >::compute_2nd_derivative	(	const unsigned int	i,
		const Point< dim > &	p
	)		const

overridevirtual

Compute the second derivative of the ith polynomial at unit point p.

Consider using evaluate() instead.

Implements ScalarPolynomialsBase< dim >.

Definition at line 219 of file polynomials_pyramid.cc.

◆ compute_3rd_derivative()

template<int dim>

Tensor< 3, dim > ScalarLagrangePolynomialPyramid< dim >::compute_3rd_derivative	(	const unsigned int	i,
		const Point< dim > &	p
	)		const

overridevirtual

Compute the third derivative of the ith polynomial at unit point p.

Consider using evaluate() instead.

Note: Not implemented yet.

Implements ScalarPolynomialsBase< dim >.

Definition at line 235 of file polynomials_pyramid.cc.

◆ compute_4th_derivative()

template<int dim>

Tensor< 4, dim > ScalarLagrangePolynomialPyramid< dim >::compute_4th_derivative	(	const unsigned int	i,
		const Point< dim > &	p
	)		const

overridevirtual

Compute the fourth derivative of the ith polynomial at unit point p.

Consider using evaluate() instead.

Note: Not implemented yet.

Implements ScalarPolynomialsBase< dim >.

Definition at line 251 of file polynomials_pyramid.cc.

◆ compute_grad()

template<int dim>

Tensor< 1, dim > ScalarLagrangePolynomialPyramid< dim >::compute_grad	(	const unsigned int	i,
		const Point< dim > &	p
	)		const

overridevirtual

Compute the gradient of the ith polynomial at unit point p.

Consider using evaluate() instead.

Note: Not implemented yet.

Implements ScalarPolynomialsBase< dim >.

Definition at line 90 of file polynomials_pyramid.cc.

◆ compute_grad_grad()

template<int dim>

Tensor< 2, dim > ScalarLagrangePolynomialPyramid< dim >::compute_grad_grad	(	const unsigned int	i,
		const Point< dim > &	p
	)		const

overridevirtual

Compute the second derivative (grad_grad) of the ith polynomial at unit point p.

Consider using evaluate() instead.

Note: Not implemented yet.

Implements ScalarPolynomialsBase< dim >.

Definition at line 167 of file polynomials_pyramid.cc.

◆ name()

template<int dim>

std::string ScalarLagrangePolynomialPyramid< dim >::name ( ) const

overridevirtual

Return the name of the space.

Implements ScalarPolynomialsBase< dim >.

Definition at line 267 of file polynomials_pyramid.cc.

◆ clone()

template<int dim>

std::unique_ptr< ScalarPolynomialsBase< dim > > ScalarLagrangePolynomialPyramid< dim >::clone ( ) const

overridevirtual

A sort of virtual copy constructor, this function returns a copy of the polynomial space object. Derived classes need to override the function here in this base class and return an object of the same type as the derived class.

Some places in the library, for example the constructors of FE_Poly, need to make copies of polynomial spaces without knowing their exact type. They do so through this function.

Implements ScalarPolynomialsBase< dim >.

Definition at line 276 of file polynomials_pyramid.cc.

◆ n()

template<int dim>

unsigned int ScalarPolynomialsBase< dim >::n

inlineinherited

Return the number of polynomials.

Definition at line 238 of file scalar_polynomials_base.h.

◆ degree()

template<int dim>

unsigned int ScalarPolynomialsBase< dim >::degree

inlinevirtualinherited

Return the highest polynomial degree of polynomials represented by this class. A derived class may override this if its value is different from my_degree.

Reimplemented in PolynomialsP< dim >.

Definition at line 247 of file scalar_polynomials_base.h.

◆ memory_consumption()

template<int dim>

std::size_t ScalarPolynomialsBase< dim >::memory_consumption

virtualinherited

Return an estimate (in bytes) for the memory consumption of this object.

Reimplemented in BarycentricPolynomials< dim >, BarycentricPolynomials< 2 >, BarycentricPolynomials< 1 >, TensorProductPolynomials< dim, PolynomialType >, and TensorProductPolynomials< dim - 1 >.

Definition at line 39 of file scalar_polynomials_base.cc.

Member Data Documentation

◆ dimension

template<int dim>

const unsigned int ScalarLagrangePolynomialPyramid< dim >::dimension = dim

static

Make the dimension available to the outside.

Definition at line 43 of file polynomials_pyramid.h.

◆ polynomial_degree

template<int dim>

const unsigned int ScalarPolynomialsBase< dim >::polynomial_degree

privateinherited

The highest polynomial degree of this functions represented by this object.

Definition at line 226 of file scalar_polynomials_base.h.

◆ n_pols

template<int dim>

const unsigned int ScalarPolynomialsBase< dim >::n_pols

privateinherited

The number of polynomials represented by this object.

Definition at line 231 of file scalar_polynomials_base.h.

The documentation for this class was generated from the following files:

include/deal.II/base/polynomials_pyramid.h
source/base/polynomials_pyramid.cc

Public Member Functions

Static Public Attributes

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ ScalarLagrangePolynomialPyramid()

Member Function Documentation

◆ evaluate()

◆ compute_value()

◆ compute_derivative()

◆ compute_1st_derivative()

◆ compute_2nd_derivative()

◆ compute_3rd_derivative()

◆ compute_4th_derivative()

◆ compute_grad()

◆ compute_grad_grad()

◆ name()

◆ clone()

◆ n()

◆ degree()

◆ memory_consumption()

Member Data Documentation

◆ dimension

◆ polynomial_degree

◆ n_pols