Single-layer potential operator for the Laplace equation in 3D. More...

#include </home/wojtek/Projects/BEM/bempp-sven/bempp/lib/assembly/laplace_3d_single_layer_potential_operator.hpp>

Inheritance diagram for Bempp::Laplace3dSingleLayerPotentialOperator< BasisFunctionType_, ResultType_ >:

Public Types
typedef Base::BasisFunctionType	BasisFunctionType
	Type of the values of the basis functions into which functions acted upon by the operator are expanded. More...

typedef Base::KernelType	KernelType
	Type of the values of kernel functions. More...

typedef Base::ResultType	ResultType
	Type of the values of the potential. More...

typedef Base::CoordinateType	CoordinateType
	Type used to represent coordinates. More...

typedef Base::CollectionOfBasisTransformations	CollectionOfBasisTransformations
	Type of the appropriate instantiation of Fiber::CollectionOfBasisTransformations. More...

typedef Base::CollectionOfKernels	CollectionOfKernels
	Type of the appropriate instantiation of Fiber::CollectionOfKernels. More...

typedef Base::KernelTrialIntegral	KernelTrialIntegral
	Type of the appropriate instantiation of Fiber::KernelTrialIntegral. More...

Public Types inherited from Bempp::Laplace3dPotentialOperatorBase< Laplace3dSingleLayerPotentialOperatorImpl< BasisFunctionType_, ResultType_ >, BasisFunctionType_, ResultType_ >
typedef Base::BasisFunctionType	BasisFunctionType
	Type of the values of the basis functions into which functions acted upon by the operator are expanded.

typedef Base::KernelType	KernelType
	Type of the values of kernel functions.

typedef Base::ResultType	ResultType
	Type of the values of the potential.

typedef Base::CoordinateType	CoordinateType

typedef Base::CollectionOfBasisTransformations	CollectionOfBasisTransformations

typedef Base::CollectionOfKernels	CollectionOfKernels

typedef Base::KernelTrialIntegral	KernelTrialIntegral

Public Types inherited from Bempp::ElementaryPotentialOperator< BasisFunctionType_, ScalarTraits< ResultType_ >::RealType, ResultType_ >
typedef Base::BasisFunctionType	BasisFunctionType

typedef ScalarTraits < ResultType_ >::RealType	KernelType
	Type of the values of the (components of the) kernel functions.

typedef Base::ResultType	ResultType

typedef Base::CoordinateType	CoordinateType

typedef Base::QuadratureStrategy	QuadratureStrategy

typedef Fiber::EvaluatorForIntegralOperators < ResultType >	Evaluator
	Type of the appropriate instantiation of Fiber::EvaluatorForIntegralOperators.

typedef Fiber::LocalAssemblerForPotentialOperators < ResultType >	LocalAssembler
	Type of the appropriate instantiation of Fiber::LocalAssemblerForPotentialOperators.

typedef Fiber::CollectionOfShapesetTransformations < CoordinateType >	CollectionOfShapesetTransformations
	Type of the appropriate instantiation of Fiber::CollectionOfShapesetTransformations.

typedef Fiber::CollectionOfShapesetTransformations < CoordinateType >	CollectionOfBasisTransformations
	Type of the appropriate instantiation of Fiber::CollectionOfBasisTransformations. More...

typedef Fiber::CollectionOfKernels < KernelType >	CollectionOfKernels
	Type of the appropriate instantiation of Fiber::CollectionOfKernels.

typedef Fiber::KernelTrialIntegral < BasisFunctionType, KernelType, ResultType >	KernelTrialIntegral
	Type of the appropriate instantiation of Fiber::KernelTrialIntegral.

Public Types inherited from Bempp::PotentialOperator< 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 of the values of the (components of the) potential.

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
	Laplace3dSingleLayerPotentialOperator ()
	Constructor. More...

virtual	~Laplace3dSingleLayerPotentialOperator ()
	Destructor. More...

Public Member Functions inherited from Bempp::Laplace3dPotentialOperatorBase< Laplace3dSingleLayerPotentialOperatorImpl< BasisFunctionType_, ResultType_ >, BasisFunctionType_, ResultType_ >
	Laplace3dPotentialOperatorBase ()
	Constructor.

	Laplace3dPotentialOperatorBase (const Laplace3dPotentialOperatorBase &other)
	Copy constructor.

virtual	~Laplace3dPotentialOperatorBase ()
	Destructor.

Laplace3dPotentialOperatorBase &	operator= (const Laplace3dPotentialOperatorBase &rhs)
	Assignment operator.

Public Member Functions inherited from Bempp::ElementaryPotentialOperator< BasisFunctionType_, ScalarTraits< ResultType_ >::RealType, ResultType_ >
virtual std::auto_ptr < InterpolatedFunction < ResultType_ > >	evaluateOnGrid (const GridFunction< BasisFunctionType, ResultType > &argument, const Grid &evaluationGrid, const QuadratureStrategy &quadStrategy, const EvaluationOptions &options) const
	Evaluate the potential of a given charge distribution on a prescribed grid. More...

virtual arma::Mat< ResultType_ >	evaluateAtPoints (const GridFunction< BasisFunctionType, ResultType > &argument, const arma::Mat< CoordinateType > &evaluationPoints, const QuadratureStrategy &quadStrategy, const EvaluationOptions &options) const
	Evaluate the potential of a given charge distribution at prescribed points. More...

virtual AssembledPotentialOperator < BasisFunctionType_, ResultType_ >	assemble (const shared_ptr< const Space< BasisFunctionType > > &space, const shared_ptr< const arma::Mat< CoordinateType > > &evaluationPoints, const QuadratureStrategy &quadStrategy, const EvaluationOptions &options) const
	Create and return an AssembledPotentialOperator object. More...

virtual int	componentCount () const
	Number of components of the values of the potential. More...

Public Member Functions inherited from Bempp::PotentialOperator< BasisFunctionType_, ResultType_ >
virtual	~PotentialOperator ()
	Destructor.

Private Types
typedef Laplace3dPotentialOperatorBase < Laplace3dSingleLayerPotentialOperatorImpl < BasisFunctionType_, ResultType_ > , BasisFunctionType_, ResultType_ >	Base

Detailed Description

template<typename BasisFunctionType_, typename ResultType_ = BasisFunctionType_>
class Bempp::Laplace3dSingleLayerPotentialOperator< BasisFunctionType_, ResultType_ >

Single-layer potential operator for the Laplace equation in 3D.

Template Parameters

BasisFunctionType_	Type of the values of the basis functions into which functions acted upon by the operator are expanded.
ResultType_	Type of the values of the potential.

Both template parameters can take the following values: float, double, std::complex<float> and std::complex<double>. Both types must have the same precision: for instance, mixing float with std::complex<double> is not allowed. The parameter ResultType_ is by default set to BasisFunctionType_. You should override that only if you set BasisFunctionType_ to a real type, but you want the values of the potential to be stored as complex numbers.

See Also: Laplace equation in 3D