Dune::Fem::LegendreShapeFunction< FunctionSpace > Class Template Reference

implementation of a single scalar-valued Legendre shape function More...

#include <dune/fem/space/shapefunctionset/legendre.hh>

Public Types
typedef FunctionSpace	FunctionSpaceType
	type of function space this function belongs to
typedef FunctionSpaceType::DomainFieldType	DomainFieldType
	field type of domain
typedef FunctionSpaceType::RangeFieldType	RangeFieldType
	field type of range
typedef FunctionSpaceType::DomainType	DomainType
	domain type
typedef FunctionSpaceType::RangeType	RangeType
	range type
typedef FunctionSpaceType::JacobianRangeType	JacobianRangeType
	jacobian type
typedef FunctionSpaceType::HessianRangeType	HessianRangeType
	hessian type

Public Member Functions
int	order () const noexcept
	return polynomial order of this function
const std::array< int, FunctionSpaceType::dimDomain > &	orders () const noexcept
	return monomial orders of this function
void	evaluate (const DomainType &x, RangeType &value) const noexcept
	evaluate the function
void	jacobian (const DomainType &x, JacobianRangeType &jacobian) const noexcept
	evaluate the Jacobian of the function
void	hessian (const DomainType &x, HessianRangeType &hessian) const noexcept
	evaluate the hessian of the function
Construction
	LegendreShapeFunction ()=default
template<class MultiIndex >
	LegendreShapeFunction (const MultiIndex &multiIndex)

Detailed Description

template<class FunctionSpace>
class Dune::Fem::LegendreShapeFunction< FunctionSpace >

implementation of a single scalar-valued Legendre shape function

Note

The range field type used in the evaluation is fixed to double.

Template Parameters

FunctionSpace

(scalar) function space

Member Typedef Documentation

DomainFieldType

template<class FunctionSpace >

typedef FunctionSpaceType::DomainFieldType Dune::Fem::LegendreShapeFunction< FunctionSpace >::DomainFieldType

field type of domain

DomainType

template<class FunctionSpace >

typedef FunctionSpaceType::DomainType Dune::Fem::LegendreShapeFunction< FunctionSpace >::DomainType

domain type

FunctionSpaceType

template<class FunctionSpace >

typedef FunctionSpace Dune::Fem::LegendreShapeFunction< FunctionSpace >::FunctionSpaceType

type of function space this function belongs to

HessianRangeType

template<class FunctionSpace >

typedef FunctionSpaceType::HessianRangeType Dune::Fem::LegendreShapeFunction< FunctionSpace >::HessianRangeType

hessian type

JacobianRangeType

template<class FunctionSpace >

typedef FunctionSpaceType::JacobianRangeType Dune::Fem::LegendreShapeFunction< FunctionSpace >::JacobianRangeType

jacobian type

RangeFieldType

template<class FunctionSpace >

typedef FunctionSpaceType::RangeFieldType Dune::Fem::LegendreShapeFunction< FunctionSpace >::RangeFieldType

field type of range

RangeType

template<class FunctionSpace >

typedef FunctionSpaceType::RangeType Dune::Fem::LegendreShapeFunction< FunctionSpace >::RangeType

range type

Constructor & Destructor Documentation

LegendreShapeFunction() [1/2]

template<class FunctionSpace >

Dune::Fem::LegendreShapeFunction< FunctionSpace >::LegendreShapeFunction ( )

default

LegendreShapeFunction() [2/2]

template<class FunctionSpace >

template<class MultiIndex >

Dune::Fem::LegendreShapeFunction< FunctionSpace >::LegendreShapeFunction ( const MultiIndex &  multiIndex )

inlineexplicit

Member Function Documentation

evaluate()

template<class FunctionSpace >

void Dune::Fem::LegendreShapeFunction< FunctionSpace >::evaluate ( const DomainType &  x, RangeType &  value  ) const

inlinenoexcept

evaluate the function

Parameters

[in]	x	evaluation point
[out]	value	value of the function in x

hessian()

template<class FunctionSpace >

void Dune::Fem::LegendreShapeFunction< FunctionSpace >::hessian ( const DomainType &  x, HessianRangeType &  hessian  ) const

inlinenoexcept

evaluate the hessian of the function

Parameters

[in]	x	evaluation point
[out]	hessian	value of the hessian in x

jacobian()

template<class FunctionSpace >

void Dune::Fem::LegendreShapeFunction< FunctionSpace >::jacobian ( const DomainType &  x, JacobianRangeType &  jacobian  ) const

inlinenoexcept

evaluate the Jacobian of the function

Parameters

[in]	x	evaluation point
[out]	jacobian	value of the Jacobian in x

order()

template<class FunctionSpace >

int Dune::Fem::LegendreShapeFunction< FunctionSpace >::order ( ) const

inlinenoexcept

return polynomial order of this function

orders()

template<class FunctionSpace >

const std::array< int, FunctionSpaceType::dimDomain > & Dune::Fem::LegendreShapeFunction< FunctionSpace >::orders ( ) const

inlinenoexcept

return monomial orders of this function

---

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

• shapefunctionset/legendre.hh