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

Inheritance diagram for Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >:

Public Types
typedef BaseType::DofType	DofType
	type of Dof

typedef BaseType::EntityType	EntityType
	type of Entity

typedef BaseType::BasisFunctionSetType	BasisFunctionSetType
	type of BasisFunctionSet

typedef BaseType::LocalDofVectorType	LocalDofVectorType
	type of LocalDofVector

typedef BaseType::SizeType	SizeType
	type of SizeType

typedef EntityType::Geometry	Geometry
	type of the geometry, the local function lives on is given by the space

typedef BasisFunctionSetType::FunctionSpaceType	FunctionSpaceType
	type of functionspace

typedef FunctionSpaceType::DomainFieldType	DomainFieldType
	field type of the domain

typedef FunctionSpaceType::RangeFieldType	RangeFieldType
	field type of the range

typedef FunctionSpaceType::DomainType	DomainType
	type of domain vectors, i.e., type of coordinates

typedef FunctionSpaceType::RangeType	RangeType
	type of range vectors, i.e., type of function values

typedef FunctionSpaceType::JacobianRangeType	JacobianRangeType
	type of the Jacobian, i.e., type of evaluated Jacobian matrix

typedef FunctionSpaceType::HessianRangeType	HessianRangeType
	type of the Hessian

typedef Geometry::LocalCoordinate	LocalCoordinateType
	type of local coordinates

typedef Traits::derived_type	derived_type

typedef Traits::value_type	value_type

typedef FieldTraits< value_type >::field_type	field_type

typedef Traits::value_type	block_type

typedef Traits::size_type	size_type

typedef DenseIterator< DenseVector, value_type >	Iterator

typedef Iterator	iterator

typedef DenseIterator< const DenseVector, const value_type >	ConstIterator

typedef ConstIterator	const_iterator

Public Member Functions
	BasicConstLocalFunction ()
	default ctor

	BasicConstLocalFunction (const BasisFunctionSetType &basisFunctionSet)

	BasicConstLocalFunction (const LocalDofVectorType &localDofVector)

	BasicConstLocalFunction (const BasisFunctionSetType &basisFunctionSet, const LocalDofVectorType &localDofVector)

	BasicConstLocalFunction (LocalDofVectorType &&localDofVector)

	BasicConstLocalFunction (const BasisFunctionSetType &basisFunctionSet, LocalDofVectorType &&localDofVector)

	BasicConstLocalFunction (const BaseType &other)

	BasicConstLocalFunction (const ThisType &other)

	BasicConstLocalFunction (ThisType &&other)

const DofType &	operator[] (SizeType i) const

const DofType &	operator[] (SizeType i)

const LocalDofVectorType &	localDofVector () const
	return const reference to local Dof Vector

LocalDofVectorType &	localDofVector ()
	return mutable reference to local Dof Vector

constexpr value_type &	operator[] (size_type i)

constexpr const value_type &	operator[] (size_type i) const

constexpr derived_type &	axpy (const field_type &a, const DenseVector< Other > &x)

int	order () const
	obtain the order of this local function

const BasisFunctionSetType &	basisFunctionSet () const
	obtain the basis function set for this local function

const EntityType &	entity () const
	obtain the entity, this local function lives on

const Geometry &	geometry () const
	obtain the geometry, this local function lives on

template<class PointType >
void	evaluate (const PointType &x, RangeType &ret) const
	evaluate the local function

template<class PointType >
void	jacobian (const PointType &x, JacobianRangeType &ret) const
	evaluate Jacobian of the local function

template<class PointType >
void	hessian (const PointType &x, HessianRangeType &ret) const
	evaluate Hessian of the local function

int	numDofs () const
	obtain the number of local DoFs

SizeType	size () const
	obtain the number of local DoFs

template<class QuadratureType , class ... Vectors>
void	axpyQuadrature (const QuadratureType &quad, const Vectors &... values)
	evaluate all basisfunctions for all quadrature points, multiply with the given factor and add the result to the local coefficients

template<class QuadratureType , class RangeVectorType , class JacobianRangeVectorType >
void	axpyQuadrature (const QuadratureType &quad, const RangeVectorType &rangeVector, const JacobianRangeVectorType &jacobianVector)
	evaluate all basisfunctions for all quadrature points, multiply with the given factor and add the result to the local coefficients

template<class QuadratureType , class ... Vectors>
void	evaluateQuadrature (const QuadratureType &quad, Vectors &... vec) const
	evaluate all basisfunctions for all quadrature points and store the results in the result vector

template<class QuadratureType , class ... Vectors>
void	jacobianQuadrature (const QuadratureType &quad, Vectors &... vec) const
	evaluate all Jacobians for all basis functions for all quadrature points and store the results in the result vector

template<class QuadratureType , class ... Vectors>
void	hessianQuadrature (const QuadratureType &quad, Vectors &... vec) const
	evaluate all hessians of all basis functions for all quadrature points and store the results in the result vector

bool	valid () const
	Returns true if local function if bind or init was previously called.

constexpr value_type &	front ()

constexpr const value_type &	front () const

constexpr value_type &	back ()

constexpr const value_type &	back () const

constexpr bool	empty () const

constexpr Iterator	begin ()

constexpr ConstIterator	begin () const

constexpr Iterator	end ()

constexpr ConstIterator	end () const

constexpr Iterator	beforeEnd ()

constexpr ConstIterator	beforeEnd () const

constexpr Iterator	beforeBegin ()

constexpr ConstIterator	beforeBegin () const

constexpr Iterator	find (size_type i)

constexpr ConstIterator	find (size_type i) const

constexpr derived_type &	operator+= (const DenseVector< Other > &x)

constexpr std::enable_if< std::is_convertible< ValueType, value_type >::value, derived_type >::type &	operator+= (const ValueType &kk)

constexpr derived_type &	operator-= (const DenseVector< Other > &x)

constexpr std::enable_if< std::is_convertible< ValueType, value_type >::value, derived_type >::type &	operator-= (const ValueType &kk)

constexpr derived_type	operator+ (const DenseVector< Other > &b) const

constexpr derived_type	operator- (const DenseVector< Other > &b) const

constexpr derived_type	operator- () const

constexpr std::enable_if< std::is_convertible< FieldType, field_type >::value, derived_type >::type &	operator*= (const FieldType &kk)

constexpr std::enable_if< std::is_convertible< FieldType, field_type >::value, derived_type >::type &	operator/= (const FieldType &kk)

constexpr bool	operator== (const DenseVector< Other > &x) const

constexpr bool	operator!= (const DenseVector< Other > &x) const

constexpr PromotionTraits< field_type, typenameDenseVector< Other >::field_type >::PromotedType	operator* (const DenseVector< Other > &x) const

constexpr PromotionTraits< field_type, typenameDenseVector< Other >::field_type >::PromotedType	dot (const DenseVector< Other > &x) const

constexpr FieldTraits< value_type >::real_type	one_norm () const

constexpr FieldTraits< value_type >::real_type	one_norm_real () const

constexpr FieldTraits< value_type >::real_type	two_norm () const

constexpr FieldTraits< value_type >::real_type	two_norm2 () const

constexpr FieldTraits< vt >::real_type	infinity_norm () const

constexpr FieldTraits< vt >::real_type	infinity_norm () const

constexpr FieldTraits< vt >::real_type	infinity_norm_real () const

constexpr FieldTraits< vt >::real_type	infinity_norm_real () const

constexpr size_type	N () const

constexpr size_type	dim () const

std::ostream &	operator<< (std::ostream &s, const DenseVector< V > &v)

Static Public Attributes
static const int	dimDomain = FunctionSpaceType::dimDomain
	dimension of the domain

static const int	dimRange = FunctionSpaceType::dimRange
	dimension of the range

static constexpr int	blocklevel

Protected Member Functions
void	clear ()
	set all DoFs to zero

template<class T >
void	assign (const LocalFunction< BasisFunctionSet, T > &other)
	assign all DoFs of this local function

template<class PointType >
void	axpy (const PointType &x, const RangeType &factor)
	axpy operation for local function

template<class PointType >
void	axpy (const PointType &x, const JacobianRangeType &factor)
	axpy operation for local function

template<class PointType >
void	axpy (const PointType &x, const HessianRangeType &factor)

template<class PointType >
void	axpy (const PointType &x, const RangeType &factor1, const JacobianRangeType &factor2)
	axpy operation for local function

template<class QuadratureType , class VectorType >
void	evaluateQuadrature (const QuadratureType &quad, VectorType &result, const RangeType &) const

template<class QuadratureType , class VectorType >
void	evaluateQuadrature (const QuadratureType &quad, VectorType &result, const JacobianRangeType &) const

template<class QuadratureType , class VectorType >
void	evaluateQuadrature (const QuadratureType &quad, VectorType &result, const HessianRangeType &) const

void	init (const EntityType &entity)
	initialize the local function for an entity

void	init (const BasisFunctionSetType &basisFunctionSet)
	initialize the local function for an basisFunctionSet

void	bind (const EntityType &entity)
	initialize the local function for an entity

void	unbind ()
	clears the local function by removing the basisFunctionSet

Protected Attributes
BasisFunctionSetType	basisFunctionSet_

LocalDofVectorType	localDofVector_

Member Typedef Documentation

◆ BasisFunctionSetType

template<class BasisFunctionSet , class LocalDofVector >

typedef BaseType::BasisFunctionSetType Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::BasisFunctionSetType

type of BasisFunctionSet

◆ DofType

template<class BasisFunctionSet , class LocalDofVector >

typedef BaseType::DofType Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::DofType

type of Dof

◆ DomainFieldType

template<class BasisFunctionSet , class LocalDofVector >

typedef FunctionSpaceType::DomainFieldType Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::DomainFieldType

inherited

field type of the domain

◆ DomainType

template<class BasisFunctionSet , class LocalDofVector >

typedef FunctionSpaceType::DomainType Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::DomainType

inherited

type of domain vectors, i.e., type of coordinates

◆ EntityType

template<class BasisFunctionSet , class LocalDofVector >

typedef BaseType::EntityType Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::EntityType

type of Entity

◆ FunctionSpaceType

template<class BasisFunctionSet , class LocalDofVector >

typedef BasisFunctionSetType::FunctionSpaceType Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::FunctionSpaceType

inherited

type of functionspace

◆ Geometry

template<class BasisFunctionSet , class LocalDofVector >

typedef EntityType::Geometry Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::Geometry

inherited

type of the geometry, the local function lives on is given by the space

◆ HessianRangeType

template<class BasisFunctionSet , class LocalDofVector >

typedef FunctionSpaceType::HessianRangeType Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::HessianRangeType

inherited

type of the Hessian

◆ JacobianRangeType

template<class BasisFunctionSet , class LocalDofVector >

typedef FunctionSpaceType::JacobianRangeType Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::JacobianRangeType

inherited

type of the Jacobian, i.e., type of evaluated Jacobian matrix

◆ LocalCoordinateType

template<class BasisFunctionSet , class LocalDofVector >

typedef Geometry::LocalCoordinate Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::LocalCoordinateType

inherited

type of local coordinates

◆ LocalDofVectorType

template<class BasisFunctionSet , class LocalDofVector >

typedef BaseType::LocalDofVectorType Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::LocalDofVectorType

type of LocalDofVector

◆ RangeFieldType

template<class BasisFunctionSet , class LocalDofVector >

typedef FunctionSpaceType::RangeFieldType Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::RangeFieldType

inherited

field type of the range

◆ RangeType

template<class BasisFunctionSet , class LocalDofVector >

typedef FunctionSpaceType::RangeType Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::RangeType

inherited

type of range vectors, i.e., type of function values

◆ SizeType

template<class BasisFunctionSet , class LocalDofVector >

typedef BaseType::SizeType Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::SizeType

type of SizeType

Constructor & Destructor Documentation

◆ BasicConstLocalFunction() [1/9]

template<class BasisFunctionSet , class LocalDofVector >

Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::BasicConstLocalFunction ( )

inline

default ctor

◆ BasicConstLocalFunction() [2/9]

template<class BasisFunctionSet , class LocalDofVector >

Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::BasicConstLocalFunction ( const BasisFunctionSetType & basisFunctionSet )

inlineexplicit

◆ BasicConstLocalFunction() [3/9]

template<class BasisFunctionSet , class LocalDofVector >

Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::BasicConstLocalFunction ( const LocalDofVectorType & localDofVector )

inlineexplicit

◆ BasicConstLocalFunction() [4/9]

template<class BasisFunctionSet , class LocalDofVector >

Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::BasicConstLocalFunction	(	const BasisFunctionSetType &	basisFunctionSet,
		const LocalDofVectorType &	localDofVector
	)

inline

◆ BasicConstLocalFunction() [5/9]

template<class BasisFunctionSet , class LocalDofVector >

Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::BasicConstLocalFunction ( LocalDofVectorType && localDofVector )

inlineexplicit

◆ BasicConstLocalFunction() [6/9]

template<class BasisFunctionSet , class LocalDofVector >

Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::BasicConstLocalFunction	(	const BasisFunctionSetType &	basisFunctionSet,
		LocalDofVectorType &&	localDofVector
	)

inline

◆ BasicConstLocalFunction() [7/9]

template<class BasisFunctionSet , class LocalDofVector >

Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::BasicConstLocalFunction ( const BaseType & other )

inline

◆ BasicConstLocalFunction() [8/9]

template<class BasisFunctionSet , class LocalDofVector >

Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::BasicConstLocalFunction ( const ThisType & other )

inline

◆ BasicConstLocalFunction() [9/9]

template<class BasisFunctionSet , class LocalDofVector >

Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::BasicConstLocalFunction ( ThisType && other )

inline

Member Function Documentation

◆ assign()

template<class BasisFunctionSet , class LocalDofVector >

template<class T >

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::assign ( const LocalFunction< BasisFunctionSet, T > & other )

inlineprotected

assign all DoFs of this local function

Parameters

[in] lf local function to assign DoFs from

◆ axpy() [1/4]

template<class BasisFunctionSet , class LocalDofVector >

template<class PointType >

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::axpy	(	const PointType &	x,
		const HessianRangeType &	factor
	)

inlineprotected

◆ axpy() [2/4]

template<class BasisFunctionSet , class LocalDofVector >

template<class PointType >

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::axpy	(	const PointType &	x,
		const JacobianRangeType &	factor
	)

inlineprotected

axpy operation for local function

Denoting the DoFs of the local function by \(u_i\) and the basis functions by \(\varphi_i\), this function performs the following operation:

\[ u_i = u_i + factor \cdot \nabla\varphi_i( x ) \]

Parameters

[in]	x	point to evaluate jacobian of basis functions in
[in]	factor	axpy factor

◆ axpy() [3/4]

template<class BasisFunctionSet , class LocalDofVector >

template<class PointType >

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::axpy	(	const PointType &	x,
		const RangeType &	factor
	)

inlineprotected

axpy operation for local function

Denoting the DoFs of the local function by \(u_i\) and the basis functions by \(\varphi_i\), this function performs the following operation:

\[ u_i = u_i + factor \cdot \varphi_i( x ) \]

Parameters

[in]	x	point to evaluate basis functions in
[in]	factor	axpy factor

◆ axpy() [4/4]

template<class BasisFunctionSet , class LocalDofVector >

template<class PointType >

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::axpy	(	const PointType &	x,
		const RangeType &	factor1,
		const JacobianRangeType &	factor2
	)

inlineprotected

axpy operation for local function

Denoting the DoFs of the local function by \(u_i\) and the basis functions by \(\varphi_i\), this function performs the following operation:

\[ u_i = u_i + factor1 \cdot \varphi_i( x ) + factor2 \cdot \nabla\varphi_i( x ) \]

Parameters

[in]	x	point to evaluate basis functions in
[in]	factor1	axpy factor for \(\varphi( x )\)
[in]	factor2	axpy factor for \(\nabla\varphi( x )\)

◆ axpyQuadrature() [1/2]

template<class BasisFunctionSet , class LocalDofVector >

template<class QuadratureType , class RangeVectorType , class JacobianRangeVectorType >

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::axpyQuadrature	(	const QuadratureType &	quad,
		const RangeVectorType &	rangeVector,
		const JacobianRangeVectorType &	jacobianVector
	)

inlineinherited

evaluate all basisfunctions for all quadrature points, multiply with the given factor and add the result to the local coefficients

◆ axpyQuadrature() [2/2]

template<class BasisFunctionSet , class LocalDofVector >

template<class QuadratureType , class ... Vectors>

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::axpyQuadrature	(	const QuadratureType &	quad,
		const Vectors &...	values
	)

inlineinherited

evaluate all basisfunctions for all quadrature points, multiply with the given factor and add the result to the local coefficients

◆ basisFunctionSet()

template<class BasisFunctionSet , class LocalDofVector >

const BasisFunctionSetType & Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::basisFunctionSet ( ) const

inlineinherited

obtain the basis function set for this local function

Returns: reference to the basis function set

◆ bind()

template<class BasisFunctionSet , class LocalDofVector >

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::bind ( const EntityType & entity )

inlineprotectedinherited

initialize the local function for an entity

Binds the local function to an basisFunctionSet and entity.

Note: Must be overloaded on the derived implementation class.

Parameters

[in] entity to bind the local function to

◆ clear()

template<class BasisFunctionSet , class LocalDofVector >

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::clear ( )

inlineprotected

set all DoFs to zero

◆ entity()

template<class BasisFunctionSet , class LocalDofVector >

const EntityType & Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::entity ( ) const

inlineinherited

obtain the entity, this local function lives on

Returns: reference to the entity

◆ evaluate()

template<class BasisFunctionSet , class LocalDofVector >

template<class PointType >

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::evaluate	(	const PointType &	x,
		RangeType &	ret
	)		const

inlineinherited

evaluate the local function

Parameters

[in]	x	evaluation point in local coordinates
[out]	ret	value of the function in the given point

◆ evaluateQuadrature() [1/4]

template<class BasisFunctionSet , class LocalDofVector >

template<class QuadratureType , class ... Vectors>

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::evaluateQuadrature	(	const QuadratureType &	quad,
		Vectors &...	vec
	)		const

inlineinherited

evaluate all basisfunctions for all quadrature points and store the results in the result vector

◆ evaluateQuadrature() [2/4]

template<class BasisFunctionSet , class LocalDofVector >

template<class QuadratureType , class VectorType >

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::evaluateQuadrature	(	const QuadratureType &	quad,
		VectorType &	result,
		const HessianRangeType &
	)		const

inlineprotectedinherited

◆ evaluateQuadrature() [3/4]

template<class BasisFunctionSet , class LocalDofVector >

template<class QuadratureType , class VectorType >

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::evaluateQuadrature	(	const QuadratureType &	quad,
		VectorType &	result,
		const JacobianRangeType &
	)		const

inlineprotectedinherited

◆ evaluateQuadrature() [4/4]

template<class BasisFunctionSet , class LocalDofVector >

template<class QuadratureType , class VectorType >

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::evaluateQuadrature	(	const QuadratureType &	quad,
		VectorType &	result,
		const RangeType &
	)		const

inlineprotectedinherited

◆ geometry()

template<class BasisFunctionSet , class LocalDofVector >

const Geometry & Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::geometry ( ) const

inlineinherited

obtain the geometry, this local function lives on

Returns: reference to the geometry

◆ hessian()

template<class BasisFunctionSet , class LocalDofVector >

template<class PointType >

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::hessian	(	const PointType &	x,
		HessianRangeType &	ret
	)		const

inlineinherited

evaluate Hessian of the local function

Note: Though the Hessian is evaluated on the reference element, the return value is the Hessian with respect to the actual entity.

Parameters

[in]	x	evaluation point in local coordinates
[out]	ret	Hessian of the function in the evaluation point

◆ hessianQuadrature()

template<class BasisFunctionSet , class LocalDofVector >

template<class QuadratureType , class ... Vectors>

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::hessianQuadrature	(	const QuadratureType &	quad,
		Vectors &...	vec
	)		const

inlineinherited

evaluate all hessians of all basis functions for all quadrature points and store the results in the result vector

◆ init() [1/2]

template<class BasisFunctionSet , class LocalDofVector >

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::init ( const BasisFunctionSetType & basisFunctionSet )

inlineprotectedinherited

initialize the local function for an basisFunctionSet

Binds the local function to an basisFunctionSet and entity.

Note: A local function must be initialized to an entity before it can be used.; This function can be called multiple times to use the local function for more than one entity.

Parameters

[in] basisFunctionSet to bind the local function to

◆ init() [2/2]

template<class BasisFunctionSet , class LocalDofVector >

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::init ( const EntityType & entity )

inlineprotectedinherited

initialize the local function for an entity

Binds the local function to an basisFunctionSet and entity.

Note: Must be overloaded on the derived implementation class.

Parameters

[in] entity to bind the local function to

◆ jacobian()

template<class BasisFunctionSet , class LocalDofVector >

template<class PointType >

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::jacobian	(	const PointType &	x,
		JacobianRangeType &	ret
	)		const

inlineinherited

evaluate Jacobian of the local function

Note: Though the Jacobian is evaluated on the reference element, the return value is the Jacobian with respect to the actual entity.

Parameters

[in]	x	evaluation point in local coordinates
[out]	ret	Jacobian of the function in the evaluation point

◆ jacobianQuadrature()

template<class BasisFunctionSet , class LocalDofVector >

template<class QuadratureType , class ... Vectors>

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::jacobianQuadrature	(	const QuadratureType &	quad,
		Vectors &...	vec
	)		const

inlineinherited

evaluate all Jacobians for all basis functions for all quadrature points and store the results in the result vector

◆ localDofVector() [1/2]

template<class BasisFunctionSet , class LocalDofVector >

LocalDofVectorType & Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::localDofVector ( )

inline

return mutable reference to local Dof Vector

◆ localDofVector() [2/2]

template<class BasisFunctionSet , class LocalDofVector >

const LocalDofVectorType & Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::localDofVector ( ) const

inline

return const reference to local Dof Vector

◆ numDofs()

template<class BasisFunctionSet , class LocalDofVector >

int Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::numDofs ( ) const

inlineinherited

obtain the number of local DoFs

Obtain the number of local DoFs of this local function. The value is identical to the number of basis functons on the entity.

Returns: number of local DoFs

◆ operator[]() [1/2]

template<class BasisFunctionSet , class LocalDofVector >

const DofType & Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::operator[] ( SizeType i )

inline

◆ operator[]() [2/2]

template<class BasisFunctionSet , class LocalDofVector >

const DofType & Dune::Fem::BasicConstLocalFunction< BasisFunctionSet, LocalDofVector >::operator[] ( SizeType i ) const

inline

◆ order()

template<class BasisFunctionSet , class LocalDofVector >

int Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::order ( ) const

inlineinherited

obtain the order of this local function

The order of a local function refers to the polynomial order required to integrate it exactly.

Note: It is not completely clear what this value should be, e.g., for bilinear basis functions.

Returns: order of the local function

◆ size()

template<class BasisFunctionSet , class LocalDofVector >

SizeType Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::size ( ) const

inlineinherited

obtain the number of local DoFs

Obtain the number of local DoFs of this local function. The value is identical to the number of basis functons on the entity.

Returns: number of local DoFs

◆ unbind()

template<class BasisFunctionSet , class LocalDofVector >

void Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::unbind ( )

inlineprotectedinherited

clears the local function by removing the basisFunctionSet

◆ valid()

template<class BasisFunctionSet , class LocalDofVector >

bool Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::valid ( ) const

inlineinherited

Returns true if local function if bind or init was previously called.

Member Data Documentation

◆ basisFunctionSet_

template<class BasisFunctionSet , class LocalDofVector >

BasisFunctionSetType Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::basisFunctionSet_

protectedinherited

◆ dimDomain

template<class BasisFunctionSet , class LocalDofVector >

const int Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::dimDomain = FunctionSpaceType::dimDomain

staticinherited

dimension of the domain

◆ dimRange

template<class BasisFunctionSet , class LocalDofVector >

const int Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::dimRange = FunctionSpaceType::dimRange

staticinherited

dimension of the range

◆ localDofVector_

template<class BasisFunctionSet , class LocalDofVector >

LocalDofVectorType Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::localDofVector_

protectedinherited

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

const.hh

Public Types

Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Member Typedef Documentation

◆ BasisFunctionSetType

◆ DofType

◆ DomainFieldType

◆ DomainType

◆ EntityType

◆ FunctionSpaceType

◆ Geometry

◆ HessianRangeType

◆ JacobianRangeType

◆ LocalCoordinateType

◆ LocalDofVectorType

◆ RangeFieldType

◆ RangeType

◆ SizeType

Constructor & Destructor Documentation

◆ BasicConstLocalFunction() [1/9]

◆ BasicConstLocalFunction() [2/9]

◆ BasicConstLocalFunction() [3/9]

◆ BasicConstLocalFunction() [4/9]

◆ BasicConstLocalFunction() [5/9]

◆ BasicConstLocalFunction() [6/9]

◆ BasicConstLocalFunction() [7/9]

◆ BasicConstLocalFunction() [8/9]

◆ BasicConstLocalFunction() [9/9]

Member Function Documentation

◆ assign()

◆ axpy() [1/4]

◆ axpy() [2/4]

◆ axpy() [3/4]

◆ axpy() [4/4]

◆ axpyQuadrature() [1/2]

◆ axpyQuadrature() [2/2]

◆ basisFunctionSet()

◆ bind()

◆ clear()

◆ entity()

◆ evaluate()

◆ evaluateQuadrature() [1/4]

◆ evaluateQuadrature() [2/4]

◆ evaluateQuadrature() [3/4]

◆ evaluateQuadrature() [4/4]

◆ geometry()

◆ hessian()

◆ hessianQuadrature()

◆ init() [1/2]

◆ init() [2/2]

◆ jacobian()

◆ jacobianQuadrature()

◆ localDofVector() [1/2]

◆ localDofVector() [2/2]

◆ numDofs()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ order()

◆ size()

◆ unbind()

◆ valid()

Member Data Documentation

◆ basisFunctionSet_

◆ dimDomain

◆ dimRange

◆ localDofVector_