Base class for potential operators for the modified Helmholtz equation in 3D. More...

#include </home/wojtek/Projects/BEM/bempp-sven/bempp/lib/assembly/modified_helmholtz_3d_potential_operator_base.hpp>

Inheritance diagram for Bempp::ModifiedHelmholtz3dPotentialOperatorBase< Impl, 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.

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
	Type used to represent coordinates. More...

typedef Base::CollectionOfShapesetTransformations	CollectionOfShapesetTransformations
	Type of the appropriate instantiation of Fiber::CollectionOfShapesetTransformations. 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::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
	ModifiedHelmholtz3dPotentialOperatorBase (KernelType waveNumber)
	Constructor. More...

	ModifiedHelmholtz3dPotentialOperatorBase (const ModifiedHelmholtz3dPotentialOperatorBase &other)
	Copy constructor.

virtual	~ModifiedHelmholtz3dPotentialOperatorBase ()
	Destructor.

ModifiedHelmholtz3dPotentialOperatorBase &	operator= (const ModifiedHelmholtz3dPotentialOperatorBase &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 ElementaryPotentialOperator < BasisFunctionType_, typename ScalarTraits < BasisFunctionType_ > ::ComplexType, typename ScalarTraits < BasisFunctionType_ > ::ComplexType >	Base

Private Member Functions
virtual const CollectionOfKernels &	kernels () const
	Return the collection of kernel functions occurring in the integrand of this operator.

virtual const CollectionOfShapesetTransformations &	trialTransformations () const
	Return the collection of transformations of the charge distribution that occur in the weak form of this operator.

virtual const KernelTrialIntegral &	integral () const
	Return an object representing the integral used to evaluate the potential of a charge distribution. More...

Detailed Description

template<typename Impl, typename BasisFunctionType_>
class Bempp::ModifiedHelmholtz3dPotentialOperatorBase< Impl, BasisFunctionType_ >

Base class for potential operators for the modified Helmholtz equation in 3D.

Template Parameters

Impl	Type of the internal implementation object.
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: Helmholtz equation in 3D