Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction > Class Template Reference

A constant local function carrying values for one entity. More...

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

Inheritance diagram for Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >:

Public Types
typedef std::remove_const_t< DiscreteFunction >	DiscreteFunctionType
typedef DiscreteFunctionType::DiscreteFunctionSpaceType	DiscreteFunctionSpaceType
typedef DiscreteFunctionSpaceType::GridPartType	GridPartType
typedef DiscreteFunctionSpaceType::FunctionSpaceType	FunctionSpaceType
typedef DiscreteFunctionType	GridFunctionType
typedef BaseType::DofType	DofType
typedef BaseType::EntityType	EntityType
typedef GridPartType::IntersectionType	IntersectionType
typedef BaseType::BasisFunctionSetType	BasisFunctionSetType
typedef BaseType::LocalDofVectorType	LocalDofVectorType
typedef BaseType::DomainType	DomainType
typedef BaseType::RangeType	RangeType
typedef BaseType::JacobianRangeType	JacobianRangeType
typedef BaseType::HessianRangeType	HessianRangeType
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 FunctionSpaceType::DomainFieldType	DomainFieldType
	field type of the domain
typedef FunctionSpaceType::RangeFieldType	RangeFieldType
	field type of the range
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
	ConstLocalDiscreteFunction (const DiscreteFunctionType &df)
	constructor creating a local function without binding it to an entity
	ConstLocalDiscreteFunction (const typename DiscreteFunctionType::LocalFunctionType &localFunction)
	cast a MutableLocalFunction into this one !!! expensive !!!
	ConstLocalDiscreteFunction (const DiscreteFunctionType &df, const EntityType &entity)
	constructor creating a local function and binding it to an entity
	ConstLocalDiscreteFunction (const EntityType &entity, const DiscreteFunctionType &df)
	ConstLocalDiscreteFunction (const ThisType &other)
	copy constructor
	ConstLocalDiscreteFunction (ThisType &&other)
	move constructor
template<class Point >
RangeType	evaluate (const Point &p) const
	evaluate the local function
template<class Point >
JacobianRangeType	jacobian (const Point &p) const
	evaluate Jacobian of the local function
template<class Point >
HessianRangeType	hessian (const Point &p) const
	evaluate Hessian of the local function
void	init (const EntityType &entity)
	interface for local functions :: init
void	bind (const EntityType &entity)
void	unbind ()
void	bind (const IntersectionType &intersection, IntersectionSide side)
const DiscreteFunctionType &	discreteFunction () const
const GridFunctionType &	gridFunction () const
const LocalDofVectorType &	localDofVector () const
	return const reference to local Dof Vector
LocalDofVectorType &	localDofVector ()
	return mutable reference to local Dof Vector
const DofType &	operator[] (SizeType i) const
const DofType &	operator[] (SizeType i)
const DofType &	operator[] (SizeType num) const
	access to local dofs (read-only)
DofType &	operator[] (SizeType num)
	access to local dofs (read-write)
constexpr value_type &	operator[] (size_type i)
constexpr const value_type &	operator[] (size_type i) const
template<class T >
void	assign (const LocalFunction< BasisFunctionSet, T > &other)
	assign all DoFs of this local function
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
void	assign (const LocalFunction< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DiscreteFunctionSpaceType::BasisFunctionSetType, T > &other)
	assign all DoFs of this local function
void	axpy (const PointType &x, const RangeType &factor)
	axpy operation for local function
void	axpy (const PointType &x, const JacobianRangeType &factor)
	axpy operation for local function
void	axpy (const PointType &x, const HessianRangeType &factor)
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 BasisFunctionSetType &basisFunctionSet)
	initialize the local function for an basisFunctionSet

Protected Attributes
const DiscreteFunctionType *	discreteFunction_
BasisFunctionSetType	basisFunctionSet_
LocalDofVectorType	localDofVector_

Detailed Description

template<class DiscreteFunction>
class Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >

A constant local function carrying values for one entity.

A ConstLocalDiscreteFunction is a LocalFunction which is basically doing the same as the LocalFunction of a discrete function. The difference is that the local dofs are not kept as references but are copied to a local storage. Therefore, this is a const local function and any modification of dofs is not allowed.

Note

Local DoF numbers correspond directly to array indices. Hence it may be more cache efficient to generate a ConstLocalFunction when only a const access to the local function is needed.

Parameters

DiscreteFunction

type of the discrete function, the local function shall belong to

Member Typedef Documentation

BasisFunctionSetType

template<class DiscreteFunction >

typedef BaseType::BasisFunctionSetType Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::BasisFunctionSetType

DiscreteFunctionSpaceType

template<class DiscreteFunction >

typedef DiscreteFunctionType::DiscreteFunctionSpaceType Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::DiscreteFunctionSpaceType

DiscreteFunctionType

template<class DiscreteFunction >

typedef std::remove_const_t< DiscreteFunction > Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::DiscreteFunctionType

DofType

template<class DiscreteFunction >

typedef BaseType::DofType Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::DofType

DomainFieldType

template<class BasisFunctionSet , class LocalDofVector >

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

inherited

field type of the domain

DomainType

template<class DiscreteFunction >

typedef BaseType::DomainType Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::DomainType

EntityType

template<class DiscreteFunction >

typedef BaseType::EntityType Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::EntityType

FunctionSpaceType

template<class DiscreteFunction >

typedef DiscreteFunctionSpaceType::FunctionSpaceType Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::FunctionSpaceType

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

GridFunctionType

template<class DiscreteFunction >

typedef DiscreteFunctionType Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::GridFunctionType

GridPartType

template<class DiscreteFunction >

typedef DiscreteFunctionSpaceType::GridPartType Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::GridPartType

HessianRangeType

template<class DiscreteFunction >

typedef BaseType::HessianRangeType Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::HessianRangeType

IntersectionType

template<class DiscreteFunction >

typedef GridPartType::IntersectionType Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::IntersectionType

JacobianRangeType

template<class DiscreteFunction >

typedef BaseType::JacobianRangeType Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::JacobianRangeType

LocalCoordinateType

template<class BasisFunctionSet , class LocalDofVector >

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

inherited

type of local coordinates

LocalDofVectorType

template<class DiscreteFunction >

typedef BaseType::LocalDofVectorType Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::LocalDofVectorType

RangeFieldType

template<class BasisFunctionSet , class LocalDofVector >

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

inherited

field type of the range

RangeType

template<class DiscreteFunction >

typedef BaseType::RangeType Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::RangeType

SizeType

typedef BaseType::SizeType Dune::Fem::BasicConstLocalFunction< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DiscreteFunctionSpaceType::BasisFunctionSetType , Dune::DynamicVector< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DofType, DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::LocalDofVectorAllocatorType ::template rebind< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > > ::DofType > ::other > >::SizeType

inherited

type of SizeType

Constructor & Destructor Documentation

ConstLocalDiscreteFunction() [1/6]

template<class DiscreteFunction >

Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::ConstLocalDiscreteFunction ( const DiscreteFunctionType &  df )

inlineexplicit

constructor creating a local function without binding it to an entity

Creates the local function without initializing the fields depending on the current entity.

Note

Before using the local function it must be initilized by

localFunction.init( entity );

Parameters

[in]

df

discrete function the local function shall belong to

ConstLocalDiscreteFunction() [2/6]

template<class DiscreteFunction >

Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::ConstLocalDiscreteFunction ( const typename DiscreteFunctionType::LocalFunctionType &  localFunction )

inline

cast a MutableLocalFunction into this one !!! expensive !!!

ConstLocalDiscreteFunction() [3/6]

template<class DiscreteFunction >

Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::ConstLocalDiscreteFunction ( const DiscreteFunctionType &  df, const EntityType &  entity  )

inline

constructor creating a local function and binding it to an entity

Creates the local function and initilizes the fields depending on the current entity. It is not necessary, though allowed, to call init before using the discrete function.

Note

The degrees of freedom are not initialized by this function.

Parameters

[in]	df	discrete function the local function shall belong to
[in]	entity	entity for initialize the local function to

ConstLocalDiscreteFunction() [4/6]

template<class DiscreteFunction >

Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::ConstLocalDiscreteFunction ( const EntityType &  entity, const DiscreteFunctionType &  df  )

inline

ConstLocalDiscreteFunction() [5/6]

template<class DiscreteFunction >

Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::ConstLocalDiscreteFunction ( const ThisType &  other )

inline

copy constructor

ConstLocalDiscreteFunction() [6/6]

template<class DiscreteFunction >

Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::ConstLocalDiscreteFunction ( ThisType &&  other )

inline

move constructor

Member Function Documentation

assign() [1/2]

template<class BasisFunctionSet , class LocalDofVector >

template<class T >

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

inlineinherited

assign all DoFs of this local function

Parameters

[in]

lf

local function to assign DoFs from

assign() [2/2]

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DiscreteFunctionSpaceType::BasisFunctionSetType , Dune::DynamicVector< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DofType, DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::LocalDofVectorAllocatorType ::template rebind< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > > ::DofType > ::other > >::assign ( const LocalFunction< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DiscreteFunctionSpaceType::BasisFunctionSetType , T > &  other )

inlineprotectedinherited

assign all DoFs of this local function

Parameters

[in]

lf

local function to assign DoFs from

axpy() [1/4]

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DiscreteFunctionSpaceType::BasisFunctionSetType , Dune::DynamicVector< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DofType, DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::LocalDofVectorAllocatorType ::template rebind< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > > ::DofType > ::other > >::axpy ( const PointType &  x, const HessianRangeType &  factor  )

inlineprotectedinherited

axpy() [2/4]

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DiscreteFunctionSpaceType::BasisFunctionSetType , Dune::DynamicVector< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DofType, DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::LocalDofVectorAllocatorType ::template rebind< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > > ::DofType > ::other > >::axpy ( const PointType &  x, const JacobianRangeType &  factor  )

inlineprotectedinherited

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]

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DiscreteFunctionSpaceType::BasisFunctionSetType , Dune::DynamicVector< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DofType, DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::LocalDofVectorAllocatorType ::template rebind< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > > ::DofType > ::other > >::axpy ( const PointType &  x, const RangeType &  factor  )

inlineprotectedinherited

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]

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DiscreteFunctionSpaceType::BasisFunctionSetType , Dune::DynamicVector< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DofType, DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::LocalDofVectorAllocatorType ::template rebind< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > > ::DofType > ::other > >::axpy ( const PointType &  x, const RangeType &  factor1, const JacobianRangeType &  factor2  )

inlineprotectedinherited

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() [1/2]

template<class DiscreteFunction >

void Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::bind ( const EntityType &  entity )

inline

bind() [2/2]

template<class DiscreteFunction >

void Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::bind ( const IntersectionType &  intersection, IntersectionSide  side  )

inline

clear()

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DiscreteFunctionSpaceType::BasisFunctionSetType , Dune::DynamicVector< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DofType, DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::LocalDofVectorAllocatorType ::template rebind< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > > ::DofType > ::other > >::clear ( )

inlineprotectedinherited

set all DoFs to zero

discreteFunction()

template<class DiscreteFunction >

const DiscreteFunctionType & Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::discreteFunction ( ) const

inline

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() [1/2]

template<class DiscreteFunction >

template<class Point >

RangeType Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::evaluate ( const Point &  p ) const

inline

evaluate the local function

Parameters

[in]

x

evaluation point in local coordinates

Returns

value of the function in the given point

evaluate() [2/2]

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

gridFunction()

template<class DiscreteFunction >

const GridFunctionType & Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::gridFunction ( ) const

inline

hessian() [1/2]

template<class DiscreteFunction >

template<class Point >

HessianRangeType Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::hessian ( const Point &  p ) 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

Returns

Hessian of the function in the evaluation point

hessian() [2/2]

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 DiscreteFunction >

void Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::init ( const EntityType &  entity )

inline

interface for local functions :: init

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. :: init

jacobian() [1/2]

template<class DiscreteFunction >

template<class Point >

JacobianRangeType Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::jacobian ( const Point &  p ) 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

Returns

Jacobian of the function in the evaluation point

jacobian() [2/2]

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 DiscreteFunction >

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

inline

return mutable reference to local Dof Vector

localDofVector() [2/2]

template<class DiscreteFunction >

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[]() [1/4]

const DofType & Dune::Fem::BasicConstLocalFunction< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DiscreteFunctionSpaceType::BasisFunctionSetType , Dune::DynamicVector< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DofType, DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::LocalDofVectorAllocatorType ::template rebind< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > > ::DofType > ::other > >::operator[] ( SizeType  i )

inlineinherited

operator[]() [2/4]

const DofType & Dune::Fem::BasicConstLocalFunction< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DiscreteFunctionSpaceType::BasisFunctionSetType , Dune::DynamicVector< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::DofType, DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > >::LocalDofVectorAllocatorType ::template rebind< DiscreteFunctionTraits< std::remove_const_t< DiscreteFunction > > ::DofType > ::other > >::operator[] ( SizeType  i ) const

inlineinherited

operator[]() [3/4]

template<class BasisFunctionSet , class LocalDofVector >

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

inlineinherited

access to local dofs (read-write)

Parameters

[in]

num

local DoF number

Returns

reference to DoF

operator[]() [4/4]

template<class BasisFunctionSet , class LocalDofVector >

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

inlineinherited

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

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 DiscreteFunction >

void Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::unbind ( )

inline

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

discreteFunction_

template<class DiscreteFunction >

const DiscreteFunctionType* Dune::Fem::ConstLocalDiscreteFunction< DiscreteFunction >::discreteFunction_

protected

localDofVector_

template<class BasisFunctionSet , class LocalDofVector >

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

protectedinherited

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

• const.hh