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

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

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

Public Types
typedef DiscreteFunction	DiscreteFunctionType
	type of DiscreteFunction
typedef BaseType::EntityType	EntityType
	type of the entity, the local function lives on is given by the space
typedef BaseType::LocalDofVectorType	LocalDofVectorType
	type of local Dof vector object
typedef BaseType::BasisFunctionSetType	BasisFunctionSetType
	type of BasisFunctionSet
typedef LocalDofVectorType::value_type	DofType
	type of DoF use with the discrete function
typedef LocalDofVectorType::size_type	SizeType
	type of index
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
	MutableLocalFunction (DiscreteFunctionType &discreteFunction)
	Constructor creating empty local function from given discrete function.
	MutableLocalFunction (const DiscreteFunctionType &discreteFunction)
	Constructor creating empty local function from given discrete function.
	MutableLocalFunction (DiscreteFunctionType &discreteFunction, const EntityType &entity)
	Constructor creating local function from given discrete function and entity, not empty.
	MutableLocalFunction (const DiscreteFunctionType &dFunction, const EntityType &entity)
	Constructor creating local function from given discrete function and entity, not empty.
	MutableLocalFunction (const ThisType &other)
	copy constructor
	MutableLocalFunction (ThisType &&other)
	move constructor
ThisType &	operator= (const ThisType &)=delete
ThisType &	operator= (ThisType &&)=delete
void	init (const EntityType &entity)
void	bind (const EntityType &entity)
void	unbind ()
const DiscreteFunctionType &	discreteFunction () const
DiscreteFunctionType &	discreteFunction ()
const LocalDofVectorType &	localDofVector () const
	return const reference to local Dof Vector
LocalDofVectorType &	localDofVector ()
	return mutable reference to local Dof Vector
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
void	assign (const LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType, T > &other)
	assign all DoFs of this local function
void	clear ()
	set all DoFs to zero
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
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
void	evaluate (const PointType &x, RangeType &ret) const
	evaluate the local function
void	jacobian (const PointType &x, JacobianRangeType &ret) const
	evaluate Jacobian of the local function
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
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
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
void	evaluateQuadrature (const QuadratureType &quad, Vectors &... vec) const
	evaluate all basisfunctions for all quadrature points and store the results in the result vector
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
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
	dimension of the domain
static const int	dimRange
	dimension of the range
static constexpr int	blocklevel

Protected Member Functions
void	evaluateQuadrature (const QuadratureType &quad, VectorType &result, const RangeType &) const
void	evaluateQuadrature (const QuadratureType &quad, VectorType &result, const JacobianRangeType &) const
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

Protected Attributes
DiscreteFunctionType *	discreteFunction_
BasisFunctionSetType	basisFunctionSet_
LocalDofVectorType	localDofVector_

Detailed Description

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

Manages the getting and deleting of local function pointers and acts like a local functions

Member Typedef Documentation

BasisFunctionSetType

template<class DiscreteFunction >

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

type of BasisFunctionSet

DiscreteFunctionType

template<class DiscreteFunction >

typedef DiscreteFunction Dune::Fem::MutableLocalFunction< DiscreteFunction >::DiscreteFunctionType

type of DiscreteFunction

DofType

typedef LocalDofVectorType::value_type Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::DofType

inherited

type of DoF use with the discrete function

DomainFieldType

typedef FunctionSpaceType::DomainFieldType Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::DomainFieldType

inherited

field type of the domain

DomainType

typedef FunctionSpaceType::DomainType Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::DomainType

inherited

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

EntityType

template<class DiscreteFunction >

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

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

FunctionSpaceType

typedef BasisFunctionSetType::FunctionSpaceType Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::FunctionSpaceType

inherited

type of functionspace

Geometry

typedef EntityType::Geometry Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::Geometry

inherited

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

HessianRangeType

typedef FunctionSpaceType::HessianRangeType Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::HessianRangeType

inherited

type of the Hessian

JacobianRangeType

typedef FunctionSpaceType::JacobianRangeType Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::JacobianRangeType

inherited

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

LocalCoordinateType

typedef Geometry::LocalCoordinate Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::LocalCoordinateType

inherited

type of local coordinates

LocalDofVectorType

template<class DiscreteFunction >

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

type of local Dof vector object

RangeFieldType

typedef FunctionSpaceType::RangeFieldType Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::RangeFieldType

inherited

field type of the range

RangeType

typedef FunctionSpaceType::RangeType Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::RangeType

inherited

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

SizeType

typedef LocalDofVectorType::size_type Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::SizeType

inherited

type of index

Constructor & Destructor Documentation

MutableLocalFunction() [1/6]

template<class DiscreteFunction >

Dune::Fem::MutableLocalFunction< DiscreteFunction >::MutableLocalFunction ( DiscreteFunctionType &  discreteFunction )

inlineexplicit

Constructor creating empty local function from given discrete function.

MutableLocalFunction() [2/6]

template<class DiscreteFunction >

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

inlineexplicit

Constructor creating empty local function from given discrete function.

MutableLocalFunction() [3/6]

template<class DiscreteFunction >

Dune::Fem::MutableLocalFunction< DiscreteFunction >::MutableLocalFunction ( DiscreteFunctionType &  discreteFunction, const EntityType &  entity  )

inlineexplicit

Constructor creating local function from given discrete function and entity, not empty.

MutableLocalFunction() [4/6]

template<class DiscreteFunction >

Dune::Fem::MutableLocalFunction< DiscreteFunction >::MutableLocalFunction ( const DiscreteFunctionType &  dFunction, const EntityType &  entity  )

inlineexplicit

Constructor creating local function from given discrete function and entity, not empty.

MutableLocalFunction() [5/6]

template<class DiscreteFunction >

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

inline

copy constructor

MutableLocalFunction() [6/6]

template<class DiscreteFunction >

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

inline

move constructor

Member Function Documentation

assign()

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::assign ( const LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , T > &  other )

inlineinherited

assign all DoFs of this local function

Parameters

[in]

lf

local function to assign DoFs from

axpy() [1/4]

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::axpy ( const PointType &  x, const HessianRangeType &  factor  )

inlineinherited

axpy() [2/4]

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::axpy ( const PointType &  x, const JacobianRangeType &  factor  )

inlineinherited

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< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::axpy ( const PointType &  x, const RangeType &  factor  )

inlineinherited

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< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::axpy ( const PointType &  x, const RangeType &  factor1, const JacobianRangeType &  factor2  )

inlineinherited

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]

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::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]

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::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()

const BasisFunctionSetType & Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::basisFunctionSet ( ) const

inlineinherited

obtain the basis function set for this local function

Returns

reference to the basis function set

bind() [1/2]

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::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

bind() [2/2]

template<class DiscreteFunction >

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

inline

clear()

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::clear ( )

inlineinherited

set all DoFs to zero

discreteFunction() [1/2]

template<class DiscreteFunction >

DiscreteFunctionType & Dune::Fem::MutableLocalFunction< DiscreteFunction >::discreteFunction ( )

inline

discreteFunction() [2/2]

template<class DiscreteFunction >

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

inline

entity()

const EntityType & Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::entity ( ) const

inlineinherited

obtain the entity, this local function lives on

Returns

reference to the entity

evaluate()

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::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]

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::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]

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::evaluateQuadrature ( const QuadratureType &  quad, VectorType &  result, const HessianRangeType &    ) const

inlineprotectedinherited

evaluateQuadrature() [3/4]

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::evaluateQuadrature ( const QuadratureType &  quad, VectorType &  result, const JacobianRangeType &    ) const

inlineprotectedinherited

evaluateQuadrature() [4/4]

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::evaluateQuadrature ( const QuadratureType &  quad, VectorType &  result, const RangeType &    ) const

inlineprotectedinherited

geometry()

const Geometry & Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::geometry ( ) const

inlineinherited

obtain the geometry, this local function lives on

Returns

reference to the geometry

hessian()

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::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()

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::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() [1/3]

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::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() [2/3]

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::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

init() [3/3]

template<class DiscreteFunction >

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

inline

jacobian()

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::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()

void Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::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()

int Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::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 DiscreteFunction >

ThisType & Dune::Fem::MutableLocalFunction< DiscreteFunction >::operator= ( const ThisType &  )

delete

operator=() [2/2]

template<class DiscreteFunction >

ThisType & Dune::Fem::MutableLocalFunction< DiscreteFunction >::operator= ( ThisType &&  )

delete

operator[]() [1/2]

DofType & Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::operator[] ( SizeType  num )

inlineinherited

access to local dofs (read-write)

Parameters

[in]

num

local DoF number

Returns

reference to DoF

operator[]() [2/2]

const DofType & Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::operator[] ( SizeType  num ) const

inlineinherited

access to local dofs (read-only)

Parameters

[in]

num

local dof number

Returns

reference to dof

order()

int Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::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()

SizeType Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::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::MutableLocalFunction< DiscreteFunction >::unbind ( )

inline

valid()

bool Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::valid ( ) const

inlineinherited

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

Member Data Documentation

basisFunctionSet_

BasisFunctionSetType Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::basisFunctionSet_

protectedinherited

dimDomain

const int Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::dimDomain

staticinherited

dimension of the domain

dimRange

const int Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::dimRange

staticinherited

dimension of the range

discreteFunction_

template<class DiscreteFunction >

DiscreteFunctionType* Dune::Fem::MutableLocalFunction< DiscreteFunction >::discreteFunction_

protected

localDofVector_

LocalDofVectorType Dune::Fem::LocalFunction< DiscreteFunctionTraits< DiscreteFunction > ::DiscreteFunctionSpaceType ::BasisFunctionSetType , DiscreteFunctionTraits< DiscreteFunction > ::LocalDofVectorType >::localDofVector_

protectedinherited

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

• mutable.hh