Dune::Fem::LocalFunctionSet< Entity, Range > Class Template Reference

Local basis functions. More...

#include <dune/fem/function/localfunction/localfunctionset.hh>

Public Types
typedef Entity	EntityType
	entity type
typedef FunctionSpace< typename Entity::Geometry::ctype, typename Range::value_type, Entity::Geometry::coorddimension, Range::dimension >	FunctionSpaceType
	function space type
typedef FunctionSpaceType::DomainType	DomainType
	domain type
typedef FunctionSpaceType::RangeType	RangeType
	range type
typedef FunctionSpaceType::JacobianRangeType	JacobianRangeType
	jacobian range type
typedef FunctionSpaceType::HessianRangeType	HessianRangeType
	hessian range type

Public Member Functions
int	order () const
	return order of basis functions
const EntityType &	entity () const
	return entity
std::size_t	size () const
	return number of basis functions
template<class Point , class Functor >
void	evaluateEach (const Point &x, Functor functor) const
template<class Point , class Functor >
void	jacobianEach (const Point &x, Functor functor) const
template<class Point , class Functor >
void	hessianEach (const Point &x, Functor functor) const

Detailed Description

template<class Entity, class Range>
class Dune::Fem::LocalFunctionSet< Entity, Range >

Local basis functions.

This class documents the local basis functions interface.

Template Parameters

FunctionSpace

function space

Member Typedef Documentation

DomainType

template<class Entity , class Range >

typedef FunctionSpaceType::DomainType Dune::Fem::LocalFunctionSet< Entity, Range >::DomainType

domain type

EntityType

template<class Entity , class Range >

typedef Entity Dune::Fem::LocalFunctionSet< Entity, Range >::EntityType

entity type

FunctionSpaceType

template<class Entity , class Range >

typedef FunctionSpace< typename Entity::Geometry::ctype, typename Range::value_type, Entity::Geometry::coorddimension, Range::dimension > Dune::Fem::LocalFunctionSet< Entity, Range >::FunctionSpaceType

function space type

HessianRangeType

template<class Entity , class Range >

typedef FunctionSpaceType::HessianRangeType Dune::Fem::LocalFunctionSet< Entity, Range >::HessianRangeType

hessian range type

JacobianRangeType

template<class Entity , class Range >

typedef FunctionSpaceType::JacobianRangeType Dune::Fem::LocalFunctionSet< Entity, Range >::JacobianRangeType

jacobian range type

RangeType

template<class Entity , class Range >

typedef FunctionSpaceType::RangeType Dune::Fem::LocalFunctionSet< Entity, Range >::RangeType

range type

Member Function Documentation

entity()

template<class Entity , class Range >

const EntityType & Dune::Fem::LocalFunctionSet< Entity, Range >::entity

(

)

const

return entity

evaluateEach()

template<class Entity , class Range >

template<class Point , class Functor >

void Dune::Fem::LocalFunctionSet< Entity, Range >::evaluateEach	(	const Point &	x,
		Functor	functor
	)		const

     \brief evalute each basis function

      \param[in]  x        local coordinate or quadrature point
      \param[in]  functor  functor call for evaluating each basis function

      The functor has to be a copyable object satisfying the following
      interface:

struct Functor
{
  template< class Value >
  void operator() ( const int basisFunction, const Value &value );
};

hessianEach()

template<class Entity , class Range >

template<class Point , class Functor >

void Dune::Fem::LocalFunctionSet< Entity, Range >::hessianEach	(	const Point &	x,
		Functor	functor
	)		const

     \brief evalute hessian of each basis function

      \param[in]  x        local coordinate or quadrature point
      \param[in]  functor  functor call for evaluating the hessian of each basis function

      The functor has to be a copyable object satisfying the following
      interface:

struct Functor
{
  template< class Hessian >
  void operator() ( const int basisFunction, const Hessian &hessian );
};

jacobianEach()

template<class Entity , class Range >

template<class Point , class Functor >

void Dune::Fem::LocalFunctionSet< Entity, Range >::jacobianEach	(	const Point &	x,
		Functor	functor
	)		const

     \brief evalute jacobian of each basis function

      \param[in]  x        local coordinate or quadrature point
      \param[in]  functor  functor call for evaluating the jacobian of each basis function

      The functor has to be a copyable object satisfying the following
      interface:

struct Functor
{
  template< class Jacobian >
  void operator() ( const int basisFunction, const Jacobian &jacobian );
};

order()

template<class Entity , class Range >

int Dune::Fem::LocalFunctionSet< Entity, Range >::order

(

)

const

return order of basis functions

size()

template<class Entity , class Range >

std::size_t Dune::Fem::LocalFunctionSet< Entity, Range >::size

(

)

const

return number of basis functions

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

• localfunctionset.hh