Inverse or pseudoinverse of an abstract boundary operator. More...

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

Inheritance diagram for Bempp::AbstractBoundaryOperatorPseudoinverse< 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...

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
	AbstractBoundaryOperatorPseudoinverse (const BoundaryOperator< BasisFunctionType, ResultType > &boundaryOp)
	Construct a (pseudo)inverse of `boundaryOp`.

	AbstractBoundaryOperatorPseudoinverse (const BoundaryOperator< BasisFunctionType, ResultType > &boundaryOp, const shared_ptr< const Space< BasisFunctionType > > &dualToRange)

virtual bool	isLocal () const
	Return whether this operator is local. More...

virtual BEMPP_DEPRECATED shared_ptr< const AbstractBoundaryOperatorId >	id () const
	Return the identifier of this operator. 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.

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...

Protected Member Functions
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.

Private Types
typedef AbstractBoundaryOperator < BasisFunctionType_, ResultType_ >	Base

Private Member Functions
shared_ptr < DiscreteBoundaryOperator < ResultType_ > >	assembleWeakFormForSparseOperator (const Context< BasisFunctionType, ResultType > &context, const shared_ptr< const DiscreteSparseBoundaryOperator< ResultType > > &wrappedDiscreteOp) const

shared_ptr < DiscreteBoundaryOperator < ResultType_ > >	assembleWeakFormForDenseOperator (const Context< BasisFunctionType, ResultType > &context, const shared_ptr< const DiscreteDenseBoundaryOperator< ResultType > > &wrappedDiscreteOp) const

Private Attributes
BoundaryOperator < BasisFunctionType, ResultType >	m_operator

shared_ptr< const AbstractBoundaryOperatorId >	m_id

Related Functions
(Note that these are not member functions.)
template<typename BasisFunctionType , typename ResultType >
BoundaryOperator < BasisFunctionType, ResultType >	pseudoinverse (const BoundaryOperator< BasisFunctionType, ResultType > &boundaryOp)
	Construct a (pseudo)inverse of a boundary operator. More...

template<typename BasisFunctionType , typename ResultType >
BoundaryOperator < BasisFunctionType, ResultType >	pseudoinverse (const BoundaryOperator< BasisFunctionType, ResultType > &boundaryOp, const shared_ptr< const Space< BasisFunctionType > > &dualToRange)
	Construct a (pseudo)inverse of a boundary operator. This overload additionally specifies the `dualToRange` space if it cannot be detected automatically.

Detailed Description

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

Inverse or pseudoinverse of an abstract boundary operator.

Member Typedef Documentation

template<typename BasisFunctionType_ , typename ResultType_ >

typedef Base::BasisFunctionType Bempp::AbstractBoundaryOperatorPseudoinverse< 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::AbstractBoundaryOperatorPseudoinverse< BasisFunctionType_, ResultType_ >::CoordinateType

Type used to represent coordinates.

template<typename BasisFunctionType_ , typename ResultType_ >

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

Type of the appropriate instantiation of Fiber::QuadratureStrategy.

template<typename BasisFunctionType_ , typename ResultType_ >

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

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

Member Function Documentation

template<typename BasisFunctionType , typename ResultType >

shared_ptr< DiscreteBoundaryOperator< ResultType > > Bempp::AbstractBoundaryOperatorPseudoinverse< BasisFunctionType, ResultType >::assembleWeakFormImpl ( const Context< BasisFunctionType, ResultType > & context ) const

protectedvirtual

Assemble and return the operator's weak form.

This virtual function is invoked by assembleWeakForm() to do the actual work.

Implements Bempp::AbstractBoundaryOperator< BasisFunctionType_, ResultType_ >.

References Bempp::Context< BasisFunctionType, ResultType >::assemblyOptions(), and Bempp::AssemblyOptions::verbosityLevel().

template<typename BasisFunctionType , typename ResultType >

shared_ptr< const AbstractBoundaryOperatorId > Bempp::AbstractBoundaryOperatorPseudoinverse< BasisFunctionType, ResultType >::id ( ) const

virtual

Return the identifier of this operator.

If the weak form of this operator is cacheable, return a shared pointer to a valid instance of a subclass of AbstractBoundaryOperatorId that is guaranteed to be different for all logically different abstract boundary operators.

If the weak form of this operator is not cacheable, return a null shared pointer. This is the default implementation.

Deprecated:: This method is deprecated and will be removed in a future version of BEM++. Boundary operator identifiers are no longer used by the discrete weak-form caching mechanism.

Reimplemented from Bempp::AbstractBoundaryOperator< BasisFunctionType_, ResultType_ >.

template<typename BasisFunctionType , typename ResultType >

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

virtual

Return whether this operator is local.

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

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_ >.

Friends And Related Function Documentation

template<typename BasisFunctionType , typename ResultType >

BoundaryOperator< BasisFunctionType, ResultType > pseudoinverse ( const BoundaryOperator< BasisFunctionType, ResultType > & boundaryOp )

This is a convenience function that creates an AbstractBoundaryOperatorPseudoinverse object representing the (pseudo)inverse of boundaryOp, immediately wraps the newly created abstract operator in a BoundaryOperator and returns the latter.

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

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

Public Types

Public Member Functions

Protected Member Functions

Private Types

Private Member Functions

Private Attributes

Related Functions

Detailed Description

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

Member Typedef Documentation

Member Function Documentation

Friends And Related Function Documentation

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