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

Interface class for basis function sets. More...

#include <dune/fem/space/basisfunctionset/basisfunctionset.hh>

Public Types
typedef Entity	EntityType
	entity type More...
typedef FunctionSpace< typename Entity::Geometry::ctype, typename Range::value_type, Entity::Geometry::coorddimension, Range::dimension >	FunctionSpaceType
	function space type More...
typedef FunctionSpaceType::DomainType	DomainType
	range type More...
typedef FunctionSpaceType::RangeType	RangeType
	range type More...
typedef FunctionSpaceType::JacobianRangeType	JacobianRangeType
	jacobian range type More...
typedef FunctionSpaceType::HessianRangeType	HessianRangeType
	hessian range type More...
typedef Dune::ReferenceElement< typename DomainType::value_type, DomainType::dimension >	ReferenceElementType
	type of reference element More...

Public Member Functions
int	order () const
	return order of basis function set More...
std::size_t	size () const
	return size of basis function set More...
const ReferenceElementType &	referenceElement () const
	return reference element More...
template<class Quadrature , class Vector , class DofVector >
void	axpy (const Quadrature &quad, const Vector &values, DofVector &dofs) const
	evaluate all basis function and multiply with given values and add to dofs More...
template<class Quadrature , class VectorA , class VectorB , class DofVector >
void	axpy (const Quadrature &quad, const VectorA &valuesA, const VectorB &valuesB, DofVector &dofs) const
	evaluate all basis function and multiply with given values and add to dofs More...
template<class Point , class DofVector >
void	axpy (const Point &x, const RangeType &valueFactor, DofVector &dofs) const
	evaluate all basis function and multiply with given values and add to dofs More...
template<class Point , class DofVector >
void	axpy (const Point &x, const JacobianRangeType &jacobianFactor, DofVector &dofs) const
	evaluate all basis function and multiply with given values and add to dofs More...
template<class Point , class DofVector >
void	axpy (const Point &x, const RangeType &valueFactor, const JacobianRangeType &jacobianFactor, DofVector &dofs) const
	evaluate all basis function and multiply with given values and add to dofs More...
template<class Quadrature , class DofVector , class RangeArray >
void	evaluateAll (const Quadrature &quad, const DofVector &dofs, RangeArray &ranges) const
	evaluate all basis functions and store the result in the ranges array More...
template<class Point , class DofVector >
void	evaluateAll (const Point &x, const DofVector &dofs, RangeType &value) const
template<class Point , class RangeArray >
void	evaluateAll (const Point &x, RangeArray &values) const
template<class QuadratureType , class DofVector , class JacobianArray >
void	jacobianAll (const QuadratureType &quad, const DofVector &dofs, JacobianArray &jacobians) const
	evaluate the jacobian of all basis functions and store the result in the jacobians array More...
template<class Point , class DofVector >
void	jacobianAll (const Point &x, const DofVector &dofs, JacobianRangeType &jacobian) const
template<class Point , class JacobianRangeArray >
void	jacobianAll (const Point &x, JacobianRangeArray &jacobians) const
template<class Point , class DofVector >
void	hessianAll (const Point &x, const DofVector &dofs, HessianRangeType &hessian) const
template<class Point , class HessianRangeArray >
void	hessianAll (const Point &x, HessianRangeArray &hessians) const
const EntityType &	entity () const
	return entity More...
bool	valid () const
	return true if entity was set More...

Detailed Description

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

Interface class for basis function sets.

This class cannot be used itself, it is for documentation purposes only.

Note

Constructor signatures are explicitly not specified by this interface.

Member Typedef Documentation

DomainType

template<class Entity , class Range >

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

range type

EntityType

template<class Entity , class Range >

typedef Entity Dune::Fem::BasisFunctionSet< 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::BasisFunctionSet< Entity, Range >::FunctionSpaceType

function space type

HessianRangeType

template<class Entity , class Range >

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

hessian range type

JacobianRangeType

template<class Entity , class Range >

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

jacobian range type

RangeType

template<class Entity , class Range >

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

range type

ReferenceElementType

template<class Entity , class Range >

typedef Dune::ReferenceElement< typename DomainType::value_type, DomainType::dimension > Dune::Fem::BasisFunctionSet< Entity, Range >::ReferenceElementType

type of reference element

Member Function Documentation

axpy() [1/5]

template<class Entity , class Range >

template<class Point , class DofVector >

void Dune::Fem::BasisFunctionSet< Entity, Range >::axpy	(	const Point &	x,
		const JacobianRangeType &	jacobianFactor,
		DofVector &	dofs
	)		const

evaluate all basis function and multiply with given values and add to dofs

axpy() [2/5]

template<class Entity , class Range >

template<class Point , class DofVector >

void Dune::Fem::BasisFunctionSet< Entity, Range >::axpy	(	const Point &	x,
		const RangeType &	valueFactor,
		const JacobianRangeType &	jacobianFactor,
		DofVector &	dofs
	)		const

evaluate all basis function and multiply with given values and add to dofs

axpy() [3/5]

template<class Entity , class Range >

template<class Point , class DofVector >

void Dune::Fem::BasisFunctionSet< Entity, Range >::axpy	(	const Point &	x,
		const RangeType &	valueFactor,
		DofVector &	dofs
	)		const

evaluate all basis function and multiply with given values and add to dofs

axpy() [4/5]

template<class Entity , class Range >

template<class Quadrature , class Vector , class DofVector >

void Dune::Fem::BasisFunctionSet< Entity, Range >::axpy	(	const Quadrature &	quad,
		const Vector &	values,
		DofVector &	dofs
	)		const

evaluate all basis function and multiply with given values and add to dofs

axpy() [5/5]

template<class Entity , class Range >

template<class Quadrature , class VectorA , class VectorB , class DofVector >

void Dune::Fem::BasisFunctionSet< Entity, Range >::axpy	(	const Quadrature &	quad,
		const VectorA &	valuesA,
		const VectorB &	valuesB,
		DofVector &	dofs
	)		const

evaluate all basis function and multiply with given values and add to dofs

entity()

template<class Entity , class Range >

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

(

)

const

return entity

evaluateAll() [1/3]

template<class Entity , class Range >

template<class Point , class DofVector >

void Dune::Fem::BasisFunctionSet< Entity, Range >::evaluateAll	(	const Point &	x,
		const DofVector &	dofs,
		RangeType &	value
	)		const

Todo:

please doc me

evaluateAll() [2/3]

template<class Entity , class Range >

template<class Point , class RangeArray >

void Dune::Fem::BasisFunctionSet< Entity, Range >::evaluateAll	(	const Point &	x,
		RangeArray &	values
	)		const

Todo:

please doc me

evaluateAll() [3/3]

template<class Entity , class Range >

template<class Quadrature , class DofVector , class RangeArray >

void Dune::Fem::BasisFunctionSet< Entity, Range >::evaluateAll	(	const Quadrature &	quad,
		const DofVector &	dofs,
		RangeArray &	ranges
	)		const

evaluate all basis functions and store the result in the ranges array

hessianAll() [1/2]

template<class Entity , class Range >

template<class Point , class DofVector >

void Dune::Fem::BasisFunctionSet< Entity, Range >::hessianAll	(	const Point &	x,
		const DofVector &	dofs,
		HessianRangeType &	hessian
	)		const

Todo:

please doc me

hessianAll() [2/2]

template<class Entity , class Range >

template<class Point , class HessianRangeArray >

void Dune::Fem::BasisFunctionSet< Entity, Range >::hessianAll	(	const Point &	x,
		HessianRangeArray &	hessians
	)		const

Todo:

please doc me

jacobianAll() [1/3]

template<class Entity , class Range >

template<class Point , class DofVector >

void Dune::Fem::BasisFunctionSet< Entity, Range >::jacobianAll	(	const Point &	x,
		const DofVector &	dofs,
		JacobianRangeType &	jacobian
	)		const

Todo:

please doc me

jacobianAll() [2/3]

template<class Entity , class Range >

template<class Point , class JacobianRangeArray >

void Dune::Fem::BasisFunctionSet< Entity, Range >::jacobianAll	(	const Point &	x,
		JacobianRangeArray &	jacobians
	)		const

Todo:

please doc me

jacobianAll() [3/3]

template<class Entity , class Range >

template<class QuadratureType , class DofVector , class JacobianArray >

void Dune::Fem::BasisFunctionSet< Entity, Range >::jacobianAll	(	const QuadratureType &	quad,
		const DofVector &	dofs,
		JacobianArray &	jacobians
	)		const

evaluate the jacobian of all basis functions and store the result in the jacobians array

order()

template<class Entity , class Range >

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

(

)

const

return order of basis function set

referenceElement()

template<class Entity , class Range >

const ReferenceElementType& Dune::Fem::BasisFunctionSet< Entity, Range >::referenceElement

(

)

const

return reference element

size()

template<class Entity , class Range >

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

(

)

const

return size of basis function set

valid()

template<class Entity , class Range >

bool Dune::Fem::BasisFunctionSet< Entity, Range >::valid

(

)

const

return true if entity was set

---

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

• basisfunctionset/basisfunctionset.hh