Double-layer potential operator for the Maxwell equations in 3D. More...

#include </home/wojtek/Projects/BEM/bempp-sven/bempp/lib/assembly/maxwell_3d_double_layer_potential_operator.hpp>

Inheritance diagram for Bempp::Maxwell3dDoubleLayerPotentialOperator< BasisFunctionType_ >:

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::Helmholtz3dPotentialOperatorBase< Maxwell3dDoubleLayerPotentialOperatorImpl< BasisFunctionType_ >, BasisFunctionType_ >
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< BasisFunctionType_ >::ComplexType, ScalarTraits< BasisFunctionType_ >::ComplexType >
typedef Base::BasisFunctionType	BasisFunctionType

typedef ScalarTraits < BasisFunctionType_ > ::ComplexType	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_, ScalarTraits< BasisFunctionType_ >::ComplexType >
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 ScalarTraits < BasisFunctionType_ > ::ComplexType	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
	Maxwell3dDoubleLayerPotentialOperator (KernelType waveNumber)
	Constructor. More...

virtual	~Maxwell3dDoubleLayerPotentialOperator ()
	Destructor. More...

Public Member Functions inherited from Bempp::Helmholtz3dPotentialOperatorBase< Maxwell3dDoubleLayerPotentialOperatorImpl< BasisFunctionType_ >, BasisFunctionType_ >
	Helmholtz3dPotentialOperatorBase (KernelType waveNumber)
	Constructor. More...

	Helmholtz3dPotentialOperatorBase (const Helmholtz3dPotentialOperatorBase &other)
	Copy constructor.

virtual	~Helmholtz3dPotentialOperatorBase ()
	Destructor.

Helmholtz3dPotentialOperatorBase &	operator= (const Helmholtz3dPotentialOperatorBase &rhs)
	Assignment operator.

KernelType	waveNumber () const
	Return the wave number set previously in the constructor.

Public Member Functions inherited from Bempp::ElementaryPotentialOperator< BasisFunctionType_, ScalarTraits< BasisFunctionType_ >::ComplexType, ScalarTraits< BasisFunctionType_ >::ComplexType >
virtual std::auto_ptr < InterpolatedFunction < ScalarTraits < BasisFunctionType_ > ::ComplexType > >	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 < ScalarTraits < BasisFunctionType_ > ::ComplexType >	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_, ScalarTraits < BasisFunctionType_ > ::ComplexType >	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_, ScalarTraits< BasisFunctionType_ >::ComplexType >
virtual	~PotentialOperator ()
	Destructor.

Private Types
typedef Helmholtz3dPotentialOperatorBase < Maxwell3dDoubleLayerPotentialOperatorImpl < BasisFunctionType_ > , BasisFunctionType_ >	Base

Detailed Description

template<typename BasisFunctionType_>
class Bempp::Maxwell3dDoubleLayerPotentialOperator< BasisFunctionType_ >

Double-layer potential operator for the Maxwell equations in 3D.

This class represents the double-layer potential operator $\boldsymbol \Psi_{\mathrm{DL}}$ for the Maxwell equations in 3D, as defined in Maxwell equations in 3D.

Template Parameters

BasisFunctionType_ Type of the values of the basis functions into which functions acted upon by the operator are expanded. It can take the following values: float, double, std::complex<float> and std::complex<double>.

See Also: maxwell3dDoubleLayerBoundaryOperator().