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

abstract affine-linear operator More...

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

Inheritance diagram for Dune::Fem::LinearOperator< 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 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

Detailed Description

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

abstract affine-linear operator

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

\[ u\mapsto A\,u + b \]

with a linear Operator \(A\) and an affine translation \(b\).

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

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 >.

nonlinear()

template<class DomainFunction , class RangeFunction = DomainFunction>

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

inlinevirtual

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

inlinevirtual

Return true if the Operator is positive definite.

symmetric()

template<class DomainFunction , class RangeFunction = DomainFunction>

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

inlinevirtual

Return true if the Operator is symmetric.

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

• operator.hh