Dune::Fem::Mapping< DFieldType, RFieldType, DType, RType > Class Template Reference

A mapping from one vector space into another This class describes a general mapping from the domain vector space into the range vector space. It can also be used to construct linear combinations of mappings. More...

#include <dune/fem/operator/common/mapping.hh>

Public Types
typedef DType	DomainType
	domain vector space (for usage in derived classes) This can either be for example a discrete function (in case of operators) or a FieldVector (in case of discrete functions)
typedef RType	RangeType
	range vector space (for usage in derived classes) This can either be for example a discrete function (in case of operators) or a FieldVector (in case of discrete functions)
typedef DFieldType	DomainFieldType
	type of field the domain vector space, i.e. double
typedef RFieldType	RangeFieldType
	type of field the range vector space, i.e. double

Public Member Functions
	Mapping ()
	create Mappiung with empty linear combination
virtual	~Mapping ()
	delete linear combination if necessary
MappingType &	operator= (const MappingType &mapping)
	assignment of mapping mapping More...
void	operator() (const DomainType &arg, RangeType &dest) const
	Application operator that applies all operators in the linear combination stack. More...

Protected Types
typedef Mapping< DFieldType, RFieldType, DType, RType >	MappingType
	type of mapping

Related Functions
(Note that these are not member functions.)
template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType >	operator+ (const Mapping< DFieldType, RFieldType, DType, RType > &a, const Mapping< DFieldType, RFieldType, DType, RType > &b)
	add two mappings More...
template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType >	operator- (const Mapping< DFieldType, RFieldType, DType, RType > &a, const Mapping< DFieldType, RFieldType, DType, RType > &b)
	substract two mappings More...
template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType >	operator* (const Mapping< DFieldType, RFieldType, DType, RType > &mapping, const RFieldType &factor)
	scale mapping with factor More...
template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType >	operator* (const RFieldType &factor, const Mapping< DFieldType, RFieldType, DType, RType > &mapping)
	scale mapping with factor More...
template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType >	operator/ (const Mapping< DFieldType, RFieldType, DType, RType > &mapping, const RFieldType &factor)
	operator / for mappings More...
template<class DFieldType , class RFieldType , class DType , class RType >
static Mapping< DFieldType, RFieldType, DType, RType >	operator/ (const RFieldType &factor, const Mapping< DFieldType, RFieldType, DType, RType > &mapping)
	operator / for mappings More...

Detailed Description

template<typename DFieldType, typename RFieldType, class DType, class RType>
class Dune::Fem::Mapping< DFieldType, RFieldType, DType, RType >

A mapping from one vector space into another This class describes a general mapping from the domain vector space into the range vector space. It can also be used to construct linear combinations of mappings.

This two-sided character has the following consequence: when you address an object of type mapping or any of its descendants through a reference or pointer of type Mapping, the linear combination defined for that mapping is evaluated. On the other hand, if you address through a reference of the type of any of its descendants (notably Operator and Function), you'll get the functionality specific for that type.

Note

The Domain type and Range type must have operator *=, operator +=, and operator -= (e.g. FieldVector and DiscreteFunction fit that interface).

Member Function Documentation

operator()()

template<typename DFieldType , typename RFieldType , class DType , class RType >

void Dune::Fem::Mapping< DFieldType, RFieldType, DType, RType >::operator() ( const DomainType &  arg, RangeType &  dest  ) const

inline

Application operator that applies all operators in the linear combination stack.

Parameters

[in]	arg	argument
[out]	dest	destination

Referenced by Dune::Operator< DFieldType, RFieldType, DType, RType >::apply().

operator=()

template<typename DFieldType , typename RFieldType , class DType , class RType >

MappingType& Dune::Fem::Mapping< DFieldType, RFieldType, DType, RType >::operator= ( const MappingType &  mapping )

inline

assignment of mapping mapping

Parameters

[in]

mapping

which is copied

Returns

reference to mapping

Friends And Related Function Documentation

operator*() [1/2]

template<class DFieldType , class RFieldType , class DType , class RType >

static Mapping< DFieldType, RFieldType, DType, RType > operator* ( const Mapping< DFieldType, RFieldType, DType, RType > &  mapping, const RFieldType &  factor  )

related

scale mapping with factor

Parameters

[in]	mapping	Mapping which is scaled
[in]	factor	factor with which mapping is scaled

Returns

new object mapping

References Dune::Fem::MappingOperators::multiplyMapping().

operator*() [2/2]

template<class DFieldType , class RFieldType , class DType , class RType >

static Mapping< DFieldType, RFieldType, DType, RType > operator* ( const RFieldType &  factor, const Mapping< DFieldType, RFieldType, DType, RType > &  mapping  )

related

scale mapping with factor

Parameters

[in]	factor	factor with which mapping is scaled
[in]	mapping	Mapping which is scaled

Returns

new object mapping

References Dune::Fem::MappingOperators::multiplyMapping().

operator+()

template<class DFieldType , class RFieldType , class DType , class RType >

static Mapping< DFieldType, RFieldType, DType, RType > operator+ ( const Mapping< DFieldType, RFieldType, DType, RType > &  a, const Mapping< DFieldType, RFieldType, DType, RType > &  b  )

related

add two mappings

Parameters

[in]	a	mapping 1
[in]	b	mapping 2

Returns

new object mapping

References Dune::Fem::MappingOperators::addMappings().

operator-()

template<class DFieldType , class RFieldType , class DType , class RType >

static Mapping< DFieldType, RFieldType, DType, RType > operator- ( const Mapping< DFieldType, RFieldType, DType, RType > &  a, const Mapping< DFieldType, RFieldType, DType, RType > &  b  )

related

substract two mappings

Parameters

[in]	a	mapping 1
[in]	b	mapping 2

Returns

new object mapping

References Dune::Fem::MappingOperators::substractMappings().

operator/() [1/2]

template<class DFieldType , class RFieldType , class DType , class RType >

static Mapping< DFieldType, RFieldType, DType, RType > operator/ ( const Mapping< DFieldType, RFieldType, DType, RType > &  mapping, const RFieldType &  factor  )

related

operator / for mappings

Parameters

[in]	mapping	mapping which is divided
[in]	factor	f factor by which result of mapping is divided

Returns

new object mapping

References Dune::Fem::MappingOperators::divideMapping().

operator/() [2/2]

template<class DFieldType , class RFieldType , class DType , class RType >

static Mapping< DFieldType, RFieldType, DType, RType > operator/ ( const RFieldType &  factor, const Mapping< DFieldType, RFieldType, DType, RType > &  mapping  )

related

operator / for mappings

Parameters

[in]	factor	by which result of mapping is divided
[in]	mapping	which is divided

Returns

new object mapping

References Dune::Fem::MappingOperators::divideMapping().

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

• dune/fem/operator/common/mapping.hh