interface for local functions More...

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

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

Public Types
typedef BasisFunctionSet	BasisFunctionSetType
	type of basis function set More...

typedef LocalDofVector	LocalDofVectorType
	type of local Dof Vector More...

typedef LocalDofVectorType::value_type	DofType
	type of DoF use with the discrete function More...

typedef LocalDofVectorType::size_type	SizeType
	type of index More...

typedef BasisFunctionSetType::EntityType	EntityType
	type of the entity, the local function lives on is given by the space More...

typedef BasisFunctionSetType::FunctionSpaceType	FunctionSpaceType
	type of functionspace More...

typedef FunctionSpaceType::DomainFieldType	DomainFieldType
	field type of the domain More...

typedef FunctionSpaceType::RangeFieldType	RangeFieldType
	field type of the range More...

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

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

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

typedef FunctionSpaceType::HessianRangeType	HessianRangeType
	type of the Hessian More...

typedef EntityType::Geometry::LocalCoordinate	LocalCoordinateType
	type of local coordinates More...

Public Member Functions
	LocalFunction ()
	default constructor, calls default ctor of BasisFunctionSetType and LocalDofVectorType More...

	LocalFunction (const BasisFunctionSetType &basisFunctionSet)
	ctor taking a basisFunctionSet, calling default ctor for LocalDofVectorType, and resize More...

	LocalFunction (const LocalDofVectorType &localDofVector)
	ctor taking a localDofVector, calling default ctor for BasisFunctionSetType More...

	LocalFunction (const BasisFunctionSetType &basisFunctionSet, const LocalDofVector &localDofVector)
	copy given agruments More...

	LocalFunction (LocalDofVectorType &&localDofVector)
	half move ctor More...

	LocalFunction (const BasisFunctionSetType &basisFunctionSet, LocalDofVector &&localDofVector)
	half move ctor More...

	LocalFunction (ThisType &&other)
	move constructor More...

	LocalFunction (const ThisType &other)
	copy constructor More...

const DofType &	operator[] (SizeType num) const
	access to local dofs (read-only) More...

DofType &	operator[] (SizeType num)
	access to local dofs (read-write) More...

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

void	clear ()
	set all DoFs to zero More...

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

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

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 More...

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

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

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

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

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

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

int	numDofs () const
	obtain the number of local DoFs More...

SizeType	size () const
	obtain the number of local DoFs More...

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 More...

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 More...

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 More...

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 More...

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 More...

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

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

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

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

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

Protected Member Functions
void	init (const EntityType &entity)
	initialize the local function for an entity More...

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

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

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

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

Protected Attributes
BasisFunctionSetType	basisFunctionSet_

LocalDofVectorType	localDofVector_

Detailed Description

template<class BasisFunctionSet, class LocalDofVector>
class Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >

interface for local functions

Local functions are used to represend a discrete function on one entity. The LocalFunctionInterface defines the functionality that can be expected from such a local function.

Member Typedef Documentation

◆ BasisFunctionSetType

template<class BasisFunctionSet , class LocalDofVector >

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

type of basis function set

◆ DofType

template<class BasisFunctionSet , class LocalDofVector >

typedef LocalDofVectorType::value_type Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::DofType

type of DoF use with the discrete function

◆ DomainFieldType

template<class BasisFunctionSet , class LocalDofVector >

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

field type of the domain

◆ DomainType

template<class BasisFunctionSet , class LocalDofVector >

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

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

◆ EntityType

template<class BasisFunctionSet , class LocalDofVector >

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

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

◆ FunctionSpaceType

template<class BasisFunctionSet , class LocalDofVector >

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

type of functionspace

◆ HessianRangeType

template<class BasisFunctionSet , class LocalDofVector >

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

type of the Hessian

◆ JacobianRangeType

template<class BasisFunctionSet , class LocalDofVector >

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

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

◆ LocalCoordinateType

template<class BasisFunctionSet , class LocalDofVector >

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

type of local coordinates

◆ LocalDofVectorType

template<class BasisFunctionSet , class LocalDofVector >

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

type of local Dof Vector

◆ RangeFieldType

template<class BasisFunctionSet , class LocalDofVector >

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

field type of the range

◆ RangeType

template<class BasisFunctionSet , class LocalDofVector >

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

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

◆ SizeType

template<class BasisFunctionSet , class LocalDofVector >

typedef LocalDofVectorType::size_type Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::SizeType

type of index

Constructor & Destructor Documentation

◆ LocalFunction() [1/8]

template<class BasisFunctionSet , class LocalDofVector >

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

inline

default constructor, calls default ctor of BasisFunctionSetType and LocalDofVectorType

◆ LocalFunction() [2/8]

template<class BasisFunctionSet , class LocalDofVector >

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

inlineexplicit

ctor taking a basisFunctionSet, calling default ctor for LocalDofVectorType, and resize

◆ LocalFunction() [3/8]

template<class BasisFunctionSet , class LocalDofVector >

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

inlineexplicit

ctor taking a localDofVector, calling default ctor for BasisFunctionSetType

◆ LocalFunction() [4/8]

template<class BasisFunctionSet , class LocalDofVector >

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

inline

copy given agruments

◆ LocalFunction() [5/8]

template<class BasisFunctionSet , class LocalDofVector >

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

inlineexplicit

half move ctor

◆ LocalFunction() [6/8]

template<class BasisFunctionSet , class LocalDofVector >

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

inline

half move ctor

◆ LocalFunction() [7/8]

template<class BasisFunctionSet , class LocalDofVector >

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

inline

move constructor

◆ LocalFunction() [8/8]

template<class BasisFunctionSet , class LocalDofVector >

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

inline

copy constructor

Member Function Documentation

◆ assign()

template<class BasisFunctionSet , class LocalDofVector >

template<class T >

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

inline

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
	)

inline

◆ axpy() [2/4]

template<class BasisFunctionSet , class LocalDofVector >

template<class PointType >

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

inline

axpy operation for local function

Denoting the DoFs of the local function by 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
	)

inline

axpy operation for local function

Denoting the DoFs of the local function by 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
	)

inline

axpy operation for local function

Denoting the DoFs of the local function by 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
	)

inline

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
	)

inline

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

inline

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 )

inlineprotected

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 ( )

inline

set all DoFs to zero

◆ entity()

template<class BasisFunctionSet , class LocalDofVector >

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

inline

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

inline

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

inline

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

inlineprotected

◆ 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

inlineprotected

◆ 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

inlineprotected

◆ hessian()

template<class BasisFunctionSet , class LocalDofVector >

template<class PointType >

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

inline

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

inline

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 )

inlineprotected

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 )

inlineprotected

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

inline

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

inline

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

inline

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 >

DofType& Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::operator[] ( SizeType num )

inline

access to local dofs (read-write)

Parameters

[in] num local DoF number

Returns: reference to DoF

◆ operator[]() [2/2]

template<class BasisFunctionSet , class LocalDofVector >

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

inline

access to local dofs (read-only)

Parameters

[in] num local dof number

Returns: reference to dof

◆ order()

template<class BasisFunctionSet , class LocalDofVector >

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

inline

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

inline

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 ( )

inlineprotected

clears the local function by removing the basisFunctionSet

◆ valid()

template<class BasisFunctionSet , class LocalDofVector >

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

inline

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_

protected

◆ dimDomain

template<class BasisFunctionSet , class LocalDofVector >

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

static

dimension of the domain

◆ dimRange

template<class BasisFunctionSet , class LocalDofVector >

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

static

dimension of the range

◆ localDofVector_

template<class BasisFunctionSet , class LocalDofVector >

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

protected

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

localfunction.hh

Public Types

Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Detailed Description

template<class BasisFunctionSet, class LocalDofVector> class Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >

Member Typedef Documentation

◆ BasisFunctionSetType

◆ DofType

◆ DomainFieldType

◆ DomainType

◆ EntityType

◆ FunctionSpaceType

◆ HessianRangeType

◆ JacobianRangeType

◆ LocalCoordinateType

◆ LocalDofVectorType

◆ RangeFieldType

◆ RangeType

◆ SizeType

Constructor & Destructor Documentation

◆ LocalFunction() [1/8]

◆ LocalFunction() [2/8]

◆ LocalFunction() [3/8]

◆ LocalFunction() [4/8]

◆ LocalFunction() [5/8]

◆ LocalFunction() [6/8]

◆ LocalFunction() [7/8]

◆ LocalFunction() [8/8]

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]

◆ 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_

template<class BasisFunctionSet, class LocalDofVector>
class Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >