This class is a simple basis function set which is needed for global basis functions sets (Fourier space etc.). More...

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

Public Types
typedef LocalFunctionSet	LocalFunctionSetType

typedef LocalFunctionSetType::EntityType	EntityType
	entity type More...

typedef LocalFunctionSetType::FunctionSpaceType	FunctionSpaceType

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 FunctionSpaceType::RangeFieldType	RangeFieldType

typedef FunctionSpaceType::DomainFieldType	DomainFieldType

typedef Dune::ReferenceElement< typename EntityType::Geometry >	ReferenceElementType
	type of reference element More...

Public Member Functions
	SimpleBasisFunctionSet ()

	SimpleBasisFunctionSet (const LocalFunctionSetType &localFunctionSet)
	constructor More...

int	order () const
	return order of basis function set More...

std::size_t	size () const
	return size of basis function set More...

decltype(auto)	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 HessianRangeType &hessianFactor, DofVector &dofs) const
	Add H:D^2phi to each dof. 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
	please doc me More...

template<class Point , class RangeArray >
void	evaluateAll (const Point &x, RangeArray &values) const
	please doc me More...

template<class Quadrature , class DofVector , class JacobianRangeArray >
void	jacobianAll (const Quadrature &quad, const DofVector &dofs, JacobianRangeArray &jacobians) const
	please doc me More...

template<class Point , class DofVector >
void	jacobianAll (const Point &x, const DofVector &dofs, JacobianRangeType &jacobian) const
	please doc me More...

template<class Point , class JacobianRangeArray >
void	jacobianAll (const Point &x, JacobianRangeArray &jacobians) const
	please doc me More...

template<class Point , class DofVector >
void	hessianAll (const Point &x, const DofVector &dofs, HessianRangeType &hessian) const
	please doc me More...

template<class Point , class HessianRangeArray >
void	hessianAll (const Point &x, HessianRangeArray &hessians) const
	please doc me More...

const EntityType &	entity () const
	please doc me More...

const LocalFunctionSetType	localFunctionSet () const
	return local function set More...

Detailed Description

template<class LocalFunctionSet>
class Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >

This class is a simple basis function set which is needed for global basis functions sets (Fourier space etc.).

Note: For localized basis function sets use the DefaultBasisFunctionSet.

Template Parameters

LocalFunctionSet set of basis functions

Member Typedef Documentation

◆ DomainFieldType

template<class LocalFunctionSet >

typedef FunctionSpaceType::DomainFieldType Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::DomainFieldType

◆ DomainType

template<class LocalFunctionSet >

typedef FunctionSpaceType::DomainType Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::DomainType

range type

◆ EntityType

template<class LocalFunctionSet >

typedef LocalFunctionSetType::EntityType Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::EntityType

entity type

◆ FunctionSpaceType

template<class LocalFunctionSet >

typedef LocalFunctionSetType::FunctionSpaceType Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::FunctionSpaceType

◆ HessianRangeType

template<class LocalFunctionSet >

typedef FunctionSpaceType::HessianRangeType Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::HessianRangeType

hessian range type

◆ JacobianRangeType

template<class LocalFunctionSet >

typedef FunctionSpaceType::JacobianRangeType Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::JacobianRangeType

jacobian range type

◆ LocalFunctionSetType

template<class LocalFunctionSet >

typedef LocalFunctionSet Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::LocalFunctionSetType

◆ RangeFieldType

template<class LocalFunctionSet >

typedef FunctionSpaceType::RangeFieldType Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::RangeFieldType

◆ RangeType

template<class LocalFunctionSet >

typedef FunctionSpaceType::RangeType Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::RangeType

range type

◆ ReferenceElementType

template<class LocalFunctionSet >

typedef Dune::ReferenceElement< typename EntityType::Geometry > Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::ReferenceElementType

type of reference element

Constructor & Destructor Documentation

◆ SimpleBasisFunctionSet() [1/2]

template<class LocalFunctionSet >

Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::SimpleBasisFunctionSet ( )

inline

◆ SimpleBasisFunctionSet() [2/2]

template<class LocalFunctionSet >

Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::SimpleBasisFunctionSet ( const LocalFunctionSetType & localFunctionSet )

inlineexplicit

constructor

Parameters

[in] localFunctionSet implementation of LocalFunctionSet

Member Function Documentation

◆ axpy() [1/6]

template<class LocalFunctionSet >

template<class Point , class DofVector >

void Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::axpy	(	const Point &	x,
		const HessianRangeType &	hessianFactor,
		DofVector &	dofs
	)		const

inline

Add H:D^2phi to each dof.

◆ axpy() [2/6]

template<class LocalFunctionSet >

template<class Point , class DofVector >

void Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::axpy	(	const Point &	x,
		const JacobianRangeType &	jacobianFactor,
		DofVector &	dofs
	)		const

inline

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

◆ axpy() [3/6]

template<class LocalFunctionSet >

template<class Point , class DofVector >

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

inline

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

◆ axpy() [4/6]

template<class LocalFunctionSet >

template<class Point , class DofVector >

void Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::axpy	(	const Point &	x,
		const RangeType &	valueFactor,
		DofVector &	dofs
	)		const

inline

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

◆ axpy() [5/6]

template<class LocalFunctionSet >

template<class Quadrature , class Vector , class DofVector >

void Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::axpy	(	const Quadrature &	quad,
		const Vector &	values,
		DofVector &	dofs
	)		const

inline

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

◆ axpy() [6/6]

template<class LocalFunctionSet >

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

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

inline

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

Note: valuesA and valuesB can be vectors of RangeType or JacobianRangeType

◆ entity()

template<class LocalFunctionSet >

const EntityType& Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::entity ( ) const

inline

please doc me

◆ evaluateAll() [1/3]

template<class LocalFunctionSet >

template<class Point , class DofVector >

void Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::evaluateAll	(	const Point &	x,
		const DofVector &	dofs,
		RangeType &	value
	)		const

inline

please doc me

◆ evaluateAll() [2/3]

template<class LocalFunctionSet >

template<class Point , class RangeArray >

void Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::evaluateAll	(	const Point &	x,
		RangeArray &	values
	)		const

inline

please doc me

◆ evaluateAll() [3/3]

template<class LocalFunctionSet >

template<class Quadrature , class DofVector , class RangeArray >

void Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::evaluateAll	(	const Quadrature &	quad,
		const DofVector &	dofs,
		RangeArray &	ranges
	)		const

inline

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

◆ hessianAll() [1/2]

template<class LocalFunctionSet >

template<class Point , class DofVector >

void Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::hessianAll	(	const Point &	x,
		const DofVector &	dofs,
		HessianRangeType &	hessian
	)		const

inline

please doc me

◆ hessianAll() [2/2]

template<class LocalFunctionSet >

template<class Point , class HessianRangeArray >

void Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::hessianAll	(	const Point &	x,
		HessianRangeArray &	hessians
	)		const

inline

please doc me

◆ jacobianAll() [1/3]

template<class LocalFunctionSet >

template<class Point , class DofVector >

void Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::jacobianAll	(	const Point &	x,
		const DofVector &	dofs,
		JacobianRangeType &	jacobian
	)		const

inline

please doc me

◆ jacobianAll() [2/3]

template<class LocalFunctionSet >

template<class Point , class JacobianRangeArray >

void Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::jacobianAll	(	const Point &	x,
		JacobianRangeArray &	jacobians
	)		const

inline

please doc me

◆ jacobianAll() [3/3]

template<class LocalFunctionSet >

template<class Quadrature , class DofVector , class JacobianRangeArray >

void Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::jacobianAll	(	const Quadrature &	quad,
		const DofVector &	dofs,
		JacobianRangeArray &	jacobians
	)		const

inline

please doc me

◆ localFunctionSet()

template<class LocalFunctionSet >

const LocalFunctionSetType Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::localFunctionSet ( ) const

inline

return local function set

◆ order()

template<class LocalFunctionSet >

int Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::order ( ) const

inline

return order of basis function set

◆ referenceElement()

template<class LocalFunctionSet >

decltype(auto) Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::referenceElement ( ) const

inline

return reference element

◆ size()

template<class LocalFunctionSet >

std::size_t Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >::size ( ) const

inline

return size of basis function set

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

space/basisfunctionset/simple.hh

Public Types

Public Member Functions

Detailed Description

template<class LocalFunctionSet> class Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >

Member Typedef Documentation

◆ DomainFieldType

◆ DomainType

◆ EntityType

◆ FunctionSpaceType

◆ HessianRangeType

◆ JacobianRangeType

◆ LocalFunctionSetType

◆ RangeFieldType

◆ RangeType

◆ ReferenceElementType

Constructor & Destructor Documentation

◆ SimpleBasisFunctionSet() [1/2]

◆ SimpleBasisFunctionSet() [2/2]

Member Function Documentation

◆ axpy() [1/6]

◆ axpy() [2/6]

◆ axpy() [3/6]

◆ axpy() [4/6]

◆ axpy() [5/6]

◆ axpy() [6/6]

◆ entity()

◆ evaluateAll() [1/3]

◆ evaluateAll() [2/3]

◆ evaluateAll() [3/3]

◆ hessianAll() [1/2]

◆ hessianAll() [2/2]

◆ jacobianAll() [1/3]

◆ jacobianAll() [2/3]

◆ jacobianAll() [3/3]

◆ localFunctionSet()

◆ order()

◆ referenceElement()

◆ size()

template<class LocalFunctionSet>
class Dune::Fem::SimpleBasisFunctionSet< LocalFunctionSet >