Dune::Fem::AssembledOperator< DomainFunction, RangeFunction > Class Template Reference

abstract matrix operator More...

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

Inheritance diagram for Dune::Fem::AssembledOperator< DomainFunction, RangeFunction >:

Public Types
typedef DomainFunction	DomainFunctionType
	type of discrete function in the operator's domain
typedef RangeFunction	RangeFunctionType
	type of discrete function in the operator's range
typedef DomainFunction::RangeFieldType	DomainFieldType
	field type of the operator's domain
typedef RangeFunction::RangeFieldType	RangeFieldType
	field type of the operator's range

Public Member Functions
virtual void	flushAssembly ()
	commit intermediate states of linear operator assembly
template<class AssembleOperation >
void	beginAssemble ()
	Initiate the assemble of values using the LocalContribution concept.
template<class AssembleOperation >
void	endAssemble ()
	Finalize the assemble of values using the LocalContribution concept.
virtual bool	symmetric () const
virtual bool	positiveDefinite () const
virtual bool	nonlinear () const
virtual void	operator() (const DomainFunctionType &u, RangeFunctionType &w) const =0
	application operator
virtual void	finalize ()
	finalization of operator

Protected Attributes
std::type_index	assembleOperation_ = std::type_index( typeid( void ) )
std::size_t	assembleCount_ = 0

Detailed Description

template<class DomainFunction, class RangeFunction = DomainFunction>
class Dune::Fem::AssembledOperator< DomainFunction, RangeFunction >

abstract matrix operator

Operators map a discrete function onto another discrete function. Their interface is described by the abstract class Operator. Implementation should derive from AssembledOperator to indicate that they model an affine linear operator of the form

\[ u\mapsto A\,u \]

with a matrix \(A\). Jacobians of LinearOperator classes, for instance, could be modelled as matrices.

Template Parameters

DomainFunction	type of discrete function for the domain
RangeFunction	type of discrete function for the range (defaults to DomainFunction)

An interface class:

Member Typedef Documentation

DomainFieldType

template<class DomainFunction , class RangeFunction = DomainFunction>

typedef DomainFunction::RangeFieldType Dune::Fem::Operator< DomainFunction, RangeFunction >::DomainFieldType

inherited

field type of the operator's domain

DomainFunctionType

template<class DomainFunction , class RangeFunction = DomainFunction>

typedef DomainFunction Dune::Fem::Operator< DomainFunction, RangeFunction >::DomainFunctionType

inherited

type of discrete function in the operator's domain

RangeFieldType

template<class DomainFunction , class RangeFunction = DomainFunction>

typedef RangeFunction::RangeFieldType Dune::Fem::Operator< DomainFunction, RangeFunction >::RangeFieldType

inherited

field type of the operator's range

RangeFunctionType

template<class DomainFunction , class RangeFunction = DomainFunction>

typedef RangeFunction Dune::Fem::Operator< DomainFunction, RangeFunction >::RangeFunctionType

inherited

type of discrete function in the operator's range

Member Function Documentation

beginAssemble()

template<class DomainFunction , class RangeFunction = DomainFunction>

template<class AssembleOperation >

void Dune::Fem::AssembledOperator< DomainFunction, RangeFunction >::beginAssemble ( )

inline

Initiate the assemble of values using the LocalContribution concept.

Template Parameters

AssembleOperation

the specific operation (Add, Set, ...)

endAssemble()

template<class DomainFunction , class RangeFunction = DomainFunction>

template<class AssembleOperation >

void Dune::Fem::AssembledOperator< DomainFunction, RangeFunction >::endAssemble ( )

inline

Finalize the assemble of values using the LocalContribution concept.

Template Parameters

AssembleOperation

the specific operation (Add, Set, ...)

finalize()

template<class DomainFunction , class RangeFunction = DomainFunction>

virtual void Dune::Fem::Operator< DomainFunction, RangeFunction >::finalize ( )

inlinevirtualinherited

finalization of operator

Note

The default implementation is empty.

Reimplemented in Dune::Fem::SparseRowLinearOperator< DomainFunction, RangeFunction, Matrix >.

flushAssembly()

template<class DomainFunction , class RangeFunction = DomainFunction>

virtual void Dune::Fem::AssembledOperator< DomainFunction, RangeFunction >::flushAssembly ( )

inlinevirtual

commit intermediate states of linear operator assembly

nonlinear()

template<class DomainFunction , class RangeFunction = DomainFunction>

virtual bool Dune::Fem::LinearOperator< DomainFunction, RangeFunction >::nonlinear ( ) const

inlinevirtualinherited

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

Reimplemented from Dune::Fem::Operator< DomainFunction, RangeFunction >.

operator()()

template<class DomainFunction , class RangeFunction = DomainFunction>

virtual void Dune::Fem::Operator< DomainFunction, RangeFunction >::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::DiagonalPreconditionerBase< DFImp, OperatorImp, assembled >, Dune::Fem::DiagonalPreconditionerBase< DFImp, Operator, std::is_base_of< AssembledOperator< DFImp, DFImp >, Operator > ::value >, Dune::Fem::DiagonalPreconditionerBase< DFImp, OperatorImp, true >, Dune::Fem::FemPreconditioningBase< DFImp, OperatorImp, method, assembled >, Dune::Fem::FemPreconditioningBase< DFImp, Operator, method, std::is_base_of< AssembledOperator< DFImp, DFImp >, Operator > ::value >, Dune::Fem::FemPreconditioningBase< DFImp, OperatorImp, method, true >, DGEllipticOperator< DiscreteFunction, Model, Penalty >, Dune::Fem::NumpyLinearOperator< DomainFunction, RangeFunction >, Dune::Fem::SparseRowLinearOperator< DomainFunction, RangeFunction, Matrix >, Dune::Fem::DenseRowLinearOperator< DomainFunction, RangeFunction >, Dune::Fem::HierarchicalLinearOperator< DomainFunction, RangeFunction >, Dune::Fem::Solver::CGInverseOperator< DiscreteFunction >, Dune::Fem::PreconditionerFunctionWrapper< DomainFunction, RangeFunction >, Dune::Fem::BlockDiagonalLinearOperator< DiscreteFunctionSpace, LocalBlock >, EllipticOperator< DomainDiscreteFunction, RangeDiscreteFunction, Model >, Dune::Fem::GalerkinOperator< Integrands, DomainFunction, RangeFunction >, Dune::Fem::GalerkinOperator< Integrands, DomainFunction, RangeFunction >, Dune::Fem::MassLumpingOperator< Integrands, MassIntegrands, DomainFunction, RangeFunction >, Dune::Fem::MOLGalerkinOperator< Integrands, DomainFunction, RangeFunction >, Dune::Fem::MOLGalerkinOperator< Integrands, DomainFunction, RangeFunction >, and Dune::Fem::VtxProjection< DType, RType >.

positiveDefinite()

template<class DomainFunction , class RangeFunction = DomainFunction>

virtual bool Dune::Fem::LinearOperator< DomainFunction, RangeFunction >::positiveDefinite ( ) const

inlinevirtualinherited

Return true if the Operator is positive definite.

symmetric()

template<class DomainFunction , class RangeFunction = DomainFunction>

virtual bool Dune::Fem::LinearOperator< DomainFunction, RangeFunction >::symmetric ( ) const

inlinevirtualinherited

Return true if the Operator is symmetric.

Member Data Documentation

assembleCount_

template<class DomainFunction , class RangeFunction = DomainFunction>

std::size_t Dune::Fem::AssembledOperator< DomainFunction, RangeFunction >::assembleCount_ = 0

protected

assembleOperation_

template<class DomainFunction , class RangeFunction = DomainFunction>

std::type_index Dune::Fem::AssembledOperator< DomainFunction, RangeFunction >::assembleOperation_ = std::type_index( typeid( void ) )

protected

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

• operator.hh