Struct that handles different types of evaluation of shape functions. More...

#include <shape_function.hxx>

Public Types
typedef shape_t	shape_fun_t
	Make type of shape functions accessable to everyone. More...

Static Public Member Functions
static constexpr unsigned int	n_fun ()
	Number of shape functions that span the local polynomial space. More...

static constexpr unsigned int	dim ()
	Dimension of abscissas of the polynomials. More...

static constexpr unsigned int	degree ()
	Maximum degree of all polynomials. More...

template<typename return_t , typename point_t >
static constexpr return_t	fct_val (const unsigned int index, const point_t &point)
	Evaluate value of shape function. More...

template<typename return_t , typename point_t >
static constexpr return_t	der_val (const unsigned int index, const point_t &point, const unsigned int der_dim)
	Evaluate value of partial derivative of shape function. More...

template<typename return_t , typename point_t >
static constexpr return_t	grad_val (const unsigned int index, const point_t &point)
	Evaluate value of gradient of shape function. More...

template<typename return_t , typename point_t >
static constexpr return_t	div_val (const unsigned int index, const point_t &point)
	Evaluate value of divergence of shape function. More...

template<typename return_t , typename coeffs_t , typename point_t >
static constexpr return_t	lin_comb_fct_val (const coeffs_t &coeffs, const point_t &point)
	Evaluate value linear combination of shape functions. More...

template<typename return_t , typename coeffs_t , typename point_t >
static constexpr return_t	lin_comb_der_val (const coeffs_t &coeffs, const point_t &point, const unsigned int der_dim)
	Evaluate value of partial derivative of linear combination of shape functions. More...

Detailed Description

template<typename shape_t>
struct TPP::ShapeFunction< shape_t >

Struct that handles different types of evaluation of shape functions.

Template Parameters

shape_t Type of shape functions.

Authors: Andreas Rupp, Heidelberg University, 2021.

Member Typedef Documentation

◆ shape_fun_t

template<typename shape_t >

typedef shape_t TPP::ShapeFunction< shape_t >::shape_fun_t

Make type of shape functions accessable to everyone.

Member Function Documentation

◆ degree()

template<typename shape_t >

static constexpr unsigned int TPP::ShapeFunction< shape_t >::degree ( )

inlinestaticconstexpr

Maximum degree of all polynomials.

◆ der_val()

template<typename shape_t >

template<typename return_t , typename point_t >

static constexpr return_t TPP::ShapeFunction< shape_t >::der_val	(	const unsigned int	index,
		const point_t &	point,
		const unsigned int	der_dim
	)

inlinestaticconstexpr

Evaluate value of partial derivative of shape function.

◆ dim()

template<typename shape_t >

static constexpr unsigned int TPP::ShapeFunction< shape_t >::dim ( )

inlinestaticconstexpr

Dimension of abscissas of the polynomials.

◆ div_val()

template<typename shape_t >

template<typename return_t , typename point_t >

static constexpr return_t TPP::ShapeFunction< shape_t >::div_val	(	const unsigned int	index,
		const point_t &	point
	)

inlinestaticconstexpr

Evaluate value of divergence of shape function.

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◆ fct_val()

template<typename shape_t >

template<typename return_t , typename point_t >

static constexpr return_t TPP::ShapeFunction< shape_t >::fct_val	(	const unsigned int	index,
		const point_t &	point
	)

inlinestaticconstexpr

Evaluate value of shape function.

◆ grad_val()

template<typename shape_t >

template<typename return_t , typename point_t >

static constexpr return_t TPP::ShapeFunction< shape_t >::grad_val	(	const unsigned int	index,
		const point_t &	point
	)

inlinestaticconstexpr

Evaluate value of gradient of shape function.

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◆ lin_comb_der_val()

template<typename shape_t >

template<typename return_t , typename coeffs_t , typename point_t >

static constexpr return_t TPP::ShapeFunction< shape_t >::lin_comb_der_val	(	const coeffs_t &	coeffs,
		const point_t &	point,
		const unsigned int	der_dim
	)

inlinestaticconstexpr

Evaluate value of partial derivative of linear combination of shape functions.

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◆ lin_comb_fct_val()

template<typename shape_t >

template<typename return_t , typename coeffs_t , typename point_t >

static constexpr return_t TPP::ShapeFunction< shape_t >::lin_comb_fct_val	(	const coeffs_t &	coeffs,
		const point_t &	point
	)

inlinestaticconstexpr

Evaluate value linear combination of shape functions.

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◆ n_fun()

template<typename shape_t >

static constexpr unsigned int TPP::ShapeFunction< shape_t >::n_fun ( )

inlinestaticconstexpr

Number of shape functions that span the local polynomial space.

The documentation for this struct was generated from the following file:

/home/runner/work/HyperHDG/HyperHDG/submodules/tensor_product_polynomials.git/include/tpp/shape_function/shape_function.hxx

Public Types

Static Public Member Functions

Detailed Description

template<typename shape_t> struct TPP::ShapeFunction< shape_t >

Member Typedef Documentation

◆ shape_fun_t

Member Function Documentation

◆ degree()

◆ der_val()

◆ dim()

◆ div_val()

◆ fct_val()

◆ grad_val()

◆ lin_comb_der_val()

◆ lin_comb_fct_val()

◆ n_fun()

template<typename shape_t>
struct TPP::ShapeFunction< shape_t >