Bempp::ScaledAbstractBoundaryOperator< BasisFunctionType_, ResultType_ > Class Template Reference

Scaled abstract boundary operator. More...

#include </home/wojtek/Projects/BEM/bempp-sven/bempp/lib/assembly/scaled_abstract_boundary_operator.hpp>

Inheritance diagram for Bempp::ScaledAbstractBoundaryOperator< BasisFunctionType_, ResultType_ >:

Public Types
typedef Base::BasisFunctionType	BasisFunctionType
	Type of the values of the (components of the) basis functions into which functions acted upon by the operator are expanded. More...
typedef Base::ResultType	ResultType
	Type used to represent elements of the weak form of the operator. More...
typedef Base::CoordinateType	CoordinateType
	Type used to represent coordinates. More...
typedef Base::QuadratureStrategy	QuadratureStrategy
	Type of the appropriate instantiation of Fiber::QuadratureStrategy. More...
typedef Base::LocalAssembler	LocalAssembler
	Type of the appropriate instantiation of Fiber::LocalAssemblerForOperators. More...
Public Types inherited from Bempp::AbstractBoundaryOperatorSuperpositionBase< BasisFunctionType_, ResultType_ >
typedef Base::BasisFunctionType	BasisFunctionType
	Type of the values of the (components of the) basis functions into which functions acted upon by the operator are expanded. More...
typedef Base::ResultType	ResultType
	Type used to represent elements of the weak form of the operator. More...
typedef Base::CoordinateType	CoordinateType
	Type used to represent coordinates. More...
typedef Base::QuadratureStrategy	QuadratureStrategy
	Type of the appropriate instantiation of Fiber::QuadratureStrategy. More...
typedef Fiber::LocalAssemblerForIntegralOperators < ResultType >	LocalAssembler
	Type of the appropriate instantiation of Fiber::LocalAssemblerForOperators.
Public Types inherited from Bempp::AbstractBoundaryOperator< BasisFunctionType_, ResultType_ >
typedef BasisFunctionType_	BasisFunctionType
	Type of the values of the (components of the) basis functions into which functions acted upon by the operator are expanded.
typedef ResultType_	ResultType
	Type used to represent elements of the weak form of the operator.
typedef ScalarTraits < ResultType >::RealType	CoordinateType
	Type used to represent coordinates.
typedef Fiber::QuadratureStrategy < BasisFunctionType, ResultType, GeometryFactory >	QuadratureStrategy
	Type of the appropriate instantiation of Fiber::QuadratureStrategy.

Public Member Functions
	ScaledAbstractBoundaryOperator (ResultType multiplier_, const BoundaryOperator< BasisFunctionType, ResultType > &multiplicand_, int symmetry=AUTO_SYMMETRY)
	Constructor. More...
virtual bool	isLocal () const
	Return whether this operator is local. More...
ResultType_	multiplier () const
BoundaryOperator < BasisFunctionType_, ResultType_ >	multiplicand () const
Public Member Functions inherited from Bempp::AbstractBoundaryOperatorSuperpositionBase< BasisFunctionType_, ResultType_ >
	AbstractBoundaryOperatorSuperpositionBase (const shared_ptr< const Space< BasisFunctionType > > &domain, const shared_ptr< const Space< BasisFunctionType > > &range, const shared_ptr< const Space< BasisFunctionType > > &dualToRange, const std::string &label, int symmetry)
	Constructor. More...
Public Member Functions inherited from Bempp::AbstractBoundaryOperator< BasisFunctionType_, ResultType_ >
	AbstractBoundaryOperator (const shared_ptr< const Space< BasisFunctionType > > &domain, const shared_ptr< const Space< BasisFunctionType > > &range, const shared_ptr< const Space< BasisFunctionType > > &dualToRange, const std::string &label, int symmetry)
	Constructor. More...
virtual	~AbstractBoundaryOperator ()
	Destructor.
virtual BEMPP_DEPRECATED shared_ptr< const AbstractBoundaryOperatorId >	id () const
	Return the identifier of this operator. More...
shared_ptr< const Space < BasisFunctionType > >	domain () const
	Domain. More...
shared_ptr< const Space < BasisFunctionType > >	range () const
	Range. More...
shared_ptr< const Space < BasisFunctionType > >	dualToRange () const
	Dual to range. More...
std::string	label () const
	Return the label of the operator.
int	symmetry () const
	Return the symmetry properties of the operator. More...
shared_ptr < DiscreteBoundaryOperator < ResultType_ > >	assembleWeakForm (const Context< BasisFunctionType_, ResultType_ > &context) const
	Assemble and return the operator's weak form. More...

Private Types
typedef AbstractBoundaryOperatorSuperpositionBase < BasisFunctionType_, ResultType_ >	Base

Additional Inherited Members
Static Public Member Functions inherited from Bempp::AbstractBoundaryOperator< BasisFunctionType_, ResultType_ >
static std::string	uniqueLabel ()
	Generate and return a new unique label "OpN", where N is a number.
Protected Member Functions inherited from Bempp::AbstractBoundaryOperatorSuperpositionBase< BasisFunctionType_, ResultType_ >
virtual shared_ptr < DiscreteBoundaryOperator < ResultType_ > >	assembleWeakFormImpl (const Context< BasisFunctionType, ResultType > &context) const
	Assemble and return the operator's weak form. More...
Protected Member Functions inherited from Bempp::AbstractBoundaryOperator< BasisFunctionType_, ResultType_ >
void	collectDataForAssemblerConstruction (const AssemblyOptions &options, shared_ptr< Fiber::RawGridGeometry< CoordinateType > > &testRawGeometry, shared_ptr< Fiber::RawGridGeometry< CoordinateType > > &trialRawGeometry, shared_ptr< GeometryFactory > &testGeometryFactory, shared_ptr< GeometryFactory > &trialGeometryFactory, shared_ptr< std::vector< const Fiber::Shapeset< BasisFunctionType_ > * > > &testShapesets, shared_ptr< std::vector< const Fiber::Shapeset< BasisFunctionType_ > * > > &trialShapesets, shared_ptr< Fiber::OpenClHandler > &openClHandler, bool &cacheSingularIntegrals) const
	Given an AssemblyOptions object, construct objects necessary for subsequent local assembler construction.
void	collectOptionsIndependentDataForAssemblerConstruction (shared_ptr< Fiber::RawGridGeometry< CoordinateType > > &testRawGeometry, shared_ptr< Fiber::RawGridGeometry< CoordinateType > > &trialRawGeometry, shared_ptr< GeometryFactory > &testGeometryFactory, shared_ptr< GeometryFactory > &trialGeometryFactory, shared_ptr< std::vector< const Fiber::Shapeset< BasisFunctionType_ > * > > &testShapesets, shared_ptr< std::vector< const Fiber::Shapeset< BasisFunctionType_ > * > > &trialShapesets) const
	Construct those objects necessary for subsequent local assembler construction that are independent from assembly options.
void	collectOptionsDependentDataForAssemblerConstruction (const AssemblyOptions &options, const shared_ptr< Fiber::RawGridGeometry< CoordinateType > > &testRawGeometry, const shared_ptr< Fiber::RawGridGeometry< CoordinateType > > &trialRawGeometry, shared_ptr< Fiber::OpenClHandler > &openClHandler, bool &cacheSingularIntegrals) const
	Construct those objects necessary for subsequent local assembler construction that depend on assembly options.

Detailed Description

template<typename BasisFunctionType_, typename ResultType_>
class Bempp::ScaledAbstractBoundaryOperator< BasisFunctionType_, ResultType_ >

Scaled abstract boundary operator.

This class represents an abstract boundary operator multiplied by a scalar.

Member Typedef Documentation

template<typename BasisFunctionType_ , typename ResultType_ >

typedef Base::BasisFunctionType Bempp::ScaledAbstractBoundaryOperator< BasisFunctionType_, ResultType_ >::BasisFunctionType

Type of the values of the (components of the) basis functions into which functions acted upon by the operator are expanded.

template<typename BasisFunctionType_ , typename ResultType_ >

typedef Base::CoordinateType Bempp::ScaledAbstractBoundaryOperator< BasisFunctionType_, ResultType_ >::CoordinateType

Type used to represent coordinates.

template<typename BasisFunctionType_ , typename ResultType_ >

typedef Base::LocalAssembler Bempp::ScaledAbstractBoundaryOperator< BasisFunctionType_, ResultType_ >::LocalAssembler

Type of the appropriate instantiation of Fiber::LocalAssemblerForOperators.

template<typename BasisFunctionType_ , typename ResultType_ >

typedef Base::QuadratureStrategy Bempp::ScaledAbstractBoundaryOperator< BasisFunctionType_, ResultType_ >::QuadratureStrategy

Type of the appropriate instantiation of Fiber::QuadratureStrategy.

template<typename BasisFunctionType_ , typename ResultType_ >

typedef Base::ResultType Bempp::ScaledAbstractBoundaryOperator< BasisFunctionType_, ResultType_ >::ResultType

Type used to represent elements of the weak form of the operator.

Constructor & Destructor Documentation

template<typename BasisFunctionType , typename ResultType >

Bempp::ScaledAbstractBoundaryOperator< BasisFunctionType, ResultType >::ScaledAbstractBoundaryOperator	(	ResultType	multiplier_,
		const BoundaryOperator< BasisFunctionType, ResultType > &	multiplicand_,
		int	symmetry = AUTO_SYMMETRY
	)

Constructor.

Construct the boundary operator , where is the scalar multiplier_ and is the operator represented by multiplicand_.

By default the symmetry of the weak form of the resulting operator is determined automatically. It can be set manually via the parameter symmetry, which can be any combination of the flags defined in the enumeration type Symmetry.

Member Function Documentation

template<typename BasisFunctionType , typename ResultType >

bool Bempp::ScaledAbstractBoundaryOperator< BasisFunctionType, ResultType >::isLocal ( ) const

virtual

Return whether this operator is local.

Suppose that an operator acting on a function produces another function . We say that is local if the value of at any point depends only on the values of in an infinitesimal neighbourhood of .

Multiplicative and differential operators are local and discretization of their weak forms with finite elements leads to sparse matrices. Conversely, integral operators are in general non-local and discretization of their weak forms leads to dense matrices.

Implements Bempp::AbstractBoundaryOperator< BasisFunctionType_, ResultType_ >.

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

• /home/wojtek/Projects/BEM/bempp-sven/bempp/lib/assembly/scaled_abstract_boundary_operator.hpp
• /home/wojtek/Projects/BEM/bempp-sven/bempp/lib/assembly/scaled_abstract_boundary_operator.cpp