interface for local functions More...

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

Public Types
typedef BasisFunctionSet	BasisFunctionSetType
	type of basis function set

typedef LocalDofVector	LocalDofVectorType
	type of local Dof Vector

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

typedef LocalDofVectorType::size_type	SizeType
	type of index

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

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
	type of derived vector class

typedef Traits::value_type	value_type
	export the type representing the field

typedef FieldTraits< value_type >::field_type	field_type
	export the type representing the field

typedef Traits::value_type	block_type
	export the type representing the components

typedef Traits::size_type	size_type
	The type used for the index access and size operation.

typedef DenseIterator< DenseVector, value_type >	Iterator
	Iterator class for sequential access.

typedef Iterator	iterator
	typedef for stl compliant access

typedef DenseIterator< const DenseVector, const value_type >	ConstIterator
	ConstIterator class for sequential access.

typedef ConstIterator	const_iterator
	typedef for stl compliant access

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

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

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

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

	LocalFunction (LocalDofVectorType &&localDofVector)
	half move ctor

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

	LocalFunction (ThisType &&other)
	move constructor

	LocalFunction (const ThisType &other)
	copy constructor

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

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 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...

const Geometry &	geometry () const
	obtain the geometry, 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

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

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

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

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

constexpr value_type &	operator[] (size_type i)
	random access

constexpr value_type &	front ()
	return reference to first element

constexpr const value_type &	front () const
	return reference to first element

constexpr value_type &	back ()
	return reference to last element

constexpr const value_type &	back () const
	return reference to last element

constexpr bool	empty () const
	checks whether the container is empty

constexpr Iterator	begin ()
	begin iterator

constexpr ConstIterator	begin () const
	begin ConstIterator

constexpr Iterator	end ()
	end iterator

constexpr ConstIterator	end () const
	end ConstIterator

constexpr Iterator	beforeEnd ()

constexpr ConstIterator	beforeEnd () const

constexpr Iterator	beforeBegin ()

constexpr ConstIterator	beforeBegin () const

constexpr Iterator	find (size_type i)
	return iterator to given element or end()

constexpr ConstIterator	find (size_type i) const
	return iterator to given element or end()

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

constexpr std::enable_if< std::is_convertible< ValueType, value_type >::value, derived_type >::type &	operator+= (const ValueType &kk)
	vector space add scalar to all comps More...

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

constexpr std::enable_if< std::is_convertible< ValueType, value_type >::value, derived_type >::type &	operator-= (const ValueType &kk)
	vector space subtract scalar from all comps More...

constexpr derived_type	operator+ (const DenseVector< Other > &b) const
	Binary vector addition.

constexpr derived_type	operator- (const DenseVector< Other > &b) const
	Binary vector subtraction.

constexpr derived_type	operator- () const
	Vector negation.

constexpr std::enable_if< std::is_convertible< FieldType, field_type >::value, derived_type >::type &	operator*= (const FieldType &kk)
	vector space multiplication with scalar More...

constexpr std::enable_if< std::is_convertible< FieldType, field_type >::value, derived_type >::type &	operator/= (const FieldType &kk)
	vector space division by scalar More...

constexpr bool	operator== (const DenseVector< Other > &x) const
	Binary vector comparison.

constexpr bool	operator!= (const DenseVector< Other > &x) const
	Binary vector incomparison.

constexpr derived_type &	axpy (const field_type &a, const DenseVector< Other > &x)
	vector space axpy operation ( *this += a x )

constexpr PromotionTraits< field_type, typenameDenseVector< Other >::field_type >::PromotedType	operator* (const DenseVector< Other > &x) const
	indefinite vector dot product \(\left (x^T \cdot y \right)\) which corresponds to Petsc's VecTDot More...

constexpr PromotionTraits< field_type, typenameDenseVector< Other >::field_type >::PromotedType	dot (const DenseVector< Other > &x) const
	vector dot product \(\left (x^H \cdot y \right)\) which corresponds to Petsc's VecDot More...

constexpr FieldTraits< value_type >::real_type	one_norm () const
	one norm (sum over absolute values of entries)

constexpr FieldTraits< value_type >::real_type	one_norm_real () const
	simplified one norm (uses Manhattan norm for complex values)

constexpr FieldTraits< value_type >::real_type	two_norm () const
	two norm sqrt(sum over squared values of entries)

constexpr FieldTraits< value_type >::real_type	two_norm2 () const
	square of two norm (sum over squared values of entries), need for block recursion

constexpr FieldTraits< vt >::real_type	infinity_norm () const
	infinity norm (maximum of absolute values of entries)

constexpr FieldTraits< vt >::real_type	infinity_norm () const
	infinity norm (maximum of absolute values of entries)

constexpr FieldTraits< vt >::real_type	infinity_norm_real () const
	simplified infinity norm (uses Manhattan norm for complex values)

constexpr FieldTraits< vt >::real_type	infinity_norm_real () const
	simplified infinity norm (uses Manhattan norm for complex values)

constexpr size_type	N () const
	number of blocks in the vector (are of size 1 here)

constexpr size_type	dim () const
	dimension of the vector space

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
	The number of block levels we contain. This is the leaf, that is, 1.

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

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

Related Functions
(Note that these are not member functions.)
std::ostream &	operator<< (std::ostream &s, const DenseVector< LocalFunction< BasisFunctionSet, LocalDofVector > > &v)
	Write a DenseVector to an output stream. More...

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 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

References Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::localDofVector().

Referenced by Dune::Fem::ProlongFunction< LRP >::operator()(), Dune::Fem::RestrictFunction< LRP >::operator()(), and Dune::Fem::hpDG::DefaultDataProjection< DiscreteFunction >::operator()().

◆ axpy() [1/3]

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 \(u_i\) 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

References Dune::Fem::BasisFunctionSet< Entity, Range >::axpy(), Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::basisFunctionSet(), and Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::localDofVector().

◆ axpy() [2/3]

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 \(u_i\) 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

References Dune::Fem::BasisFunctionSet< Entity, Range >::axpy(), Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::basisFunctionSet(), and Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::localDofVector().

Referenced by Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::axpyQuadrature().

◆ axpy() [3/3]

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 \(u_i\) 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 \(\nabla\varphi( x )\)

References Dune::Fem::BasisFunctionSet< Entity, Range >::axpy(), Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::basisFunctionSet(), and Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::localDofVector().

◆ 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

◆ beforeBegin() [1/2]

constexpr Iterator Dune::DenseVector< LocalFunction< BasisFunctionSet, LocalDofVector > >::beforeBegin ( )

inlineconstexprinherited

Returns: an iterator that is positioned before the first entry of the vector.

◆ beforeBegin() [2/2]

constexpr ConstIterator Dune::DenseVector< LocalFunction< BasisFunctionSet, LocalDofVector > >::beforeBegin ( ) const

inlineconstexprinherited

Returns: an iterator that is positioned before the first entry of the vector.

◆ beforeEnd() [1/2]

constexpr Iterator Dune::DenseVector< LocalFunction< BasisFunctionSet, LocalDofVector > >::beforeEnd ( )

inlineconstexprinherited

Returns: an iterator that is positioned before the end iterator of the vector, i.e. at the last entry.

◆ beforeEnd() [2/2]

constexpr ConstIterator Dune::DenseVector< LocalFunction< BasisFunctionSet, LocalDofVector > >::beforeEnd ( ) const

inlineconstexprinherited

Returns: an iterator that is positioned before the end iterator of the vector. i.e. at the last element

◆ 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

References DUNE_THROW.

◆ dot()

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

inlineconstexprinherited

vector dot product \(\left (x^H \cdot y \right)\) which corresponds to Petsc's VecDot

http://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/Vec/VecDot.html

Parameters

x	other vector

Returns

◆ 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

References Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::basisFunctionSet(), and Dune::Fem::BasisFunctionSet< Entity, Range >::entity().

Referenced by Dune::Fem::LocalOrthonormalL2Projection< GridPart, BasisFunctionSet, Quadrature >::apply(), Dune::Fem::LocalMassMatrixImplementation< DiscreteFunctionSpace, VolumeQuadrature, refElemScaling >::applyInverse(), Dune::Fem::LocalMassMatrixImplementationDgOrthoNormal< DiscreteFunctionSpace, VolumeQuadrature, refElemScaling >::applyInverse(), Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::ConstLocalDiscreteFunction(), Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::init(), Dune::Fem::RestrictProlongDefault< DiscreteFunction >::restrictFinalize(), and Dune::Fem::RestrictProlongDefault< DiscreteFunction >::restrictLocal().

◆ 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

References Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::basisFunctionSet(), Dune::Fem::BasisFunctionSet< Entity, Range >::evaluateAll(), and Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::localDofVector().

Referenced by Dune::Fem::HdivProjection< DiscreteFunctionType >::normalJump().

◆ geometry()

template<class BasisFunctionSet , class LocalDofVector >

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

inline

obtain the geometry, this local function lives on

Returns: reference to the geometry

References Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::basisFunctionSet().

◆ 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

References Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::basisFunctionSet(), Dune::Fem::BasisFunctionSet< Entity, Range >::hessianAll(), and Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::localDofVector().

◆ 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

References Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::basisFunctionSet(), and Dune::Fem::BasisFunctionSet< Entity, Range >::size().

◆ 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

References DUNE_THROW.

Referenced by Dune::Fem::BasicTemporaryLocalFunction< DiscreteFunctionSpace, DofVector >::init().

◆ 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

References Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::basisFunctionSet(), Dune::Fem::BasisFunctionSet< Entity, Range >::jacobianAll(), and Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::localDofVector().

◆ 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

References Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::localDofVector().

◆ operator*()

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

inlineconstexprinherited

indefinite vector dot product \(\left (x^T \cdot y \right)\) which corresponds to Petsc's VecTDot

http://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/Vec/VecTDot.html

Parameters

x	other vector

Returns

◆ operator*=()

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

inlineconstexprinherited

vector space multiplication with scalar

we use enable_if to avoid an ambiguity, if the function parameter can be converted to field_type implicitly. (see FS#1457)

The function is only enabled, if the parameter is directly convertible to field_type.

◆ operator+=()

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

inlineconstexprinherited

vector space add scalar to all comps

we use enable_if to avoid an ambiguity, if the function parameter can be converted to value_type implicitly. (see FS#1457)

The function is only enabled, if the parameter is directly convertible to value_type.

◆ operator-=()

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

inlineconstexprinherited

vector space subtract scalar from all comps

we use enable_if to avoid an ambiguity, if the function parameter can be converted to value_type implicitly. (see FS#1457)

The function is only enabled, if the parameter is directly convertible to value_type.

◆ operator/=()

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

inlineconstexprinherited

vector space division by scalar

we use enable_if to avoid an ambiguity, if the function parameter can be converted to field_type implicitly. (see FS#1457)

The function is only enabled, if the parameter is directly convertible to field_type.

◆ 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

References Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::basisFunctionSet(), and Dune::Fem::BasisFunctionSet< Entity, Range >::order().

Referenced by Dune::Fem::LocalOrthonormalL2Projection< GridPart, BasisFunctionSet, Quadrature >::apply().

◆ 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

References Dune::Fem::LocalFunction< BasisFunctionSet, LocalDofVector >::localDofVector().

Referenced by Dune::Fem::LocalMassMatrixImplementation< DiscreteFunctionSpace, VolumeQuadrature, refElemScaling >::applyInverseDefault(), Dune::Fem::LocalMassMatrixImplementation< DiscreteFunctionSpace, VolumeQuadrature, refElemScaling >::applyInverseLocally(), and Dune::Fem::hpDG::DefaultDataProjection< DiscreteFunction >::operator()().

Friends And Related Function Documentation

◆ operator<<()

std::ostream & operator<<	(	std::ostream &	s,
		const DenseVector< LocalFunction< BasisFunctionSet, LocalDofVector > > &	v
	)

Parameters

[in]	s	std :: ostream to write to
[in]	v	DenseVector to write

Returns: the output stream (s)

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

dune/fem/function/localfunction/localfunction.hh

DUNE Distributed and Unified Numerics Environment

DUNE-FEM (unstable)

Public Types

Public Member Functions

Static Public Attributes

Protected Member Functions

Related Functions

Detailed Description

Member Function Documentation

◆ assign()

◆ axpy() [1/3]

◆ axpy() [2/3]

◆ axpy() [3/3]

◆ basisFunctionSet()

◆ beforeBegin() [1/2]

◆ beforeBegin() [2/2]

◆ beforeEnd() [1/2]

◆ beforeEnd() [2/2]

◆ bind()

◆ dot()

◆ entity()

◆ evaluate()

◆ geometry()

◆ hessian()

◆ init() [1/2]

◆ init() [2/2]

◆ jacobian()

◆ numDofs()

◆ operator*()

◆ operator*=()

◆ operator+=()

◆ operator-=()

◆ operator/=()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ order()

◆ size()

Friends And Related Function Documentation

◆ operator<<()