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

An abstract operator Interface class for Operators. Operators are applied to Functions and the result is a Function again. More...

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

Public Types
typedef DType	DomainFunctionType
	type of discrete function in the operator's domain
typedef RType	RangeFunctionType
	type of discrete function in the operator's range

Public Member Functions
void	operator() (const DomainType &arg, RangeType &dest) const
	Application operator that applies all operators in the linear combination stack. More...
virtual void	operator() (const DomainFunctionType &u, RangeFunctionType &w) const=0
	application operator More...
virtual void	finalize ()
	finalization of operator More...
virtual bool	nonlinear () const

Protected Types
typedef Fem::Mapping< DFieldType, RFieldType, DType, RType >	MappingType
	type of mapping base class

Protected Member Functions
virtual void	apply (const DomainType &arg, RangeType &dest) const
	The method apply calls the application operator. The method has to be implemented here, because this method called when a mapping list is evaluated. More...

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, typename DType, typename RType>
class Dune::Operator< DFieldType, RFieldType, DType, RType >

An abstract operator Interface class for Operators. Operators are applied to Functions and the result is a Function again.

An interface class:

Member Function Documentation

apply()

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

virtual void Dune::Operator< DFieldType, RFieldType, DType, RType >::apply ( const DomainType &  arg, RangeType &  dest  ) const

inlineprotectedvirtual

The method apply calls the application operator. The method has to be implemented here, because this method called when a mapping list is evaluated.

Parameters

[in]	arg	argument
[out]	dest	destination

Reimplemented from Dune::Fem::Mapping< DFieldType, RFieldType, DType, RType >.

References Dune::Fem::Mapping< DFieldType, RFieldType, DType, RType >::operator()().

finalize()

virtual void Dune::Fem::Operator< DType , RType >::finalize ( )

inlinevirtualinherited

finalization of operator

Note

The default implementation is empty.

nonlinear()

virtual bool Dune::Fem::Operator< DType , RType >::nonlinear ( ) const

inlinevirtualinherited

Return true if the Operator is nonlinear and false otherwise (default is true).

operator()() [1/2]

virtual void Dune::Fem::Operator< DType , RType >::operator() ( const DomainFunctionType &  u, RangeFunctionType &  w  ) const

pure virtualinherited

application operator

Parameters

[in]	u	argument discrete function
[out]	w	destination discrete function

Note

This method has to be implemented by all derived classes.

Implemented in Dune::Fem::VtxProjection< DType, RType >.

operator()() [2/2]

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

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

inlineinherited

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().

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/operator.hh