BEM++
2.0
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Standard implementation of an elementary singular integral operator. More...
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 used to represent elements of the weak form of the operator. More... | |
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::TestKernelTrialIntegral | TestKernelTrialIntegral |
Type of the appropriate instantiation of Fiber::TestKernelTrialIntegral. More... | |
Public Types inherited from Bempp::ElementarySingularIntegralOperator< BasisFunctionType_, KernelType_, 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::KernelType | KernelType |
Type of the values of the (components of the) kernel functions. 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::CollectionOfBasisTransformations | CollectionOfBasisTransformations |
Type of the appropriate instantiation of Fiber::CollectionOfBasisTransformations. More... | |
typedef Base::CollectionOfShapesetTransformations | CollectionOfShapesetTransformations |
Type of the appropriate instantiation of Fiber::CollectionOfShapesetTransformations. More... | |
typedef Base::CollectionOfKernels | CollectionOfKernels |
Type of the appropriate instantiation of Fiber::CollectionOfKernels. More... | |
typedef Base::TestKernelTrialIntegral | TestKernelTrialIntegral |
Type of the appropriate instantiation of Fiber::TestKernelTrialIntegral. More... | |
Public Types inherited from Bempp::ElementaryIntegralOperator< BasisFunctionType_, KernelType_, 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 Base::LocalAssembler | LocalAssembler |
Type of the appropriate instantiation of Fiber::LocalAssemblerForOperators. More... | |
typedef KernelType_ | KernelType |
Type of the values of the (components of the) kernel functions. | |
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::TestKernelTrialIntegral < BasisFunctionType, KernelType, ResultType > | TestKernelTrialIntegral |
Type of the appropriate instantiation of Fiber::TestKernelTrialIntegral. | |
Public Types inherited from Bempp::ElementaryIntegralOperatorBase< 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 | |
template<typename KernelFunctor , typename TestTransformationsFunctor , typename TrialTransformationsFunctor , typename IntegrandFunctor > | |
GeneralElementarySingularIntegralOperator (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, const KernelFunctor &kernelFunctor, const TestTransformationsFunctor &testTransformationsFunctor, const TrialTransformationsFunctor &trialTransformationsFunctor, const IntegrandFunctor &integrandFunctor) | |
Constructor. More... | |
template<typename KernelFunctor , typename TestTransformationsFunctor , typename TrialTransformationsFunctor > | |
GeneralElementarySingularIntegralOperator (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, const KernelFunctor &kernelFunctor, const TestTransformationsFunctor &testTransformationsFunctor, const TrialTransformationsFunctor &trialTransformationsFunctor, const shared_ptr< Fiber::TestKernelTrialIntegral< BasisFunctionType_, KernelType_, ResultType_ > > &integral) | |
GeneralElementarySingularIntegralOperator (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, const shared_ptr< Fiber::CollectionOfKernels< KernelType_ > > &kernels, const shared_ptr< Fiber::CollectionOfShapesetTransformations< CoordinateType > > &testTransformations, const shared_ptr< Fiber::CollectionOfShapesetTransformations< CoordinateType > > &trialTransformations, const shared_ptr< Fiber::TestKernelTrialIntegral< BasisFunctionType_, KernelType_, ResultType_ > > &integral) | |
virtual const CollectionOfKernels & | kernels () const |
Return the collection of kernel functions occurring in the weak form of this operator. | |
virtual const CollectionOfShapesetTransformations & | testTransformations () const |
Return the collection of test function transformations occurring in the weak form of this operator. | |
virtual const CollectionOfShapesetTransformations & | trialTransformations () const |
Return the collection of trial function transformations occurring in the weak form of this operator. | |
virtual const TestKernelTrialIntegral & | integral () const |
Return an object representing the integral that is the weak form of this operator. More... | |
Public Member Functions inherited from Bempp::ElementarySingularIntegralOperator< BasisFunctionType_, KernelType_, ResultType_ > | |
ElementarySingularIntegralOperator (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 bool | isRegular () const |
Return whether applying this operator to a regular function yields a regular integral. | |
Public Member Functions inherited from Bempp::ElementaryIntegralOperator< BasisFunctionType_, KernelType_, ResultType_ > | |
ElementaryIntegralOperator (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 bool | isLocal () const |
Return false. | |
Public Member Functions inherited from Bempp::ElementaryIntegralOperatorBase< BasisFunctionType_, ResultType_ > | |
ElementaryIntegralOperatorBase (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... | |
~ElementaryIntegralOperatorBase () | |
Destructor. | |
std::auto_ptr< LocalAssembler > | makeAssembler (const QuadratureStrategy &quadStrategy, const shared_ptr< const GeometryFactory > &testGeometryFactory, const shared_ptr< const GeometryFactory > &trialGeometryFactory, const shared_ptr< const Fiber::RawGridGeometry< CoordinateType > > &testRawGeometry, const shared_ptr< const Fiber::RawGridGeometry< CoordinateType > > &trialRawGeometry, const shared_ptr< const std::vector< const Fiber::Shapeset< BasisFunctionType > * > > &testShapesets, const shared_ptr< const std::vector< const Fiber::Shapeset< BasisFunctionType > * > > &trialShapesets, const shared_ptr< const Fiber::OpenClHandler > &openClHandler, const ParallelizationOptions ¶llelizationOptions, VerbosityLevel::Level verbosityLevel, bool cacheSingularIntegrals) const |
Construct a local assembler suitable for this operator. More... | |
std::auto_ptr< LocalAssembler > | makeAssembler (const QuadratureStrategy &quadStrategy, const AssemblyOptions &options) const |
Construct a local assembler suitable for this operator using a specified quadrature strategy. More... | |
shared_ptr < DiscreteBoundaryOperator < ResultType_ > > | assembleWeakFormInternal (LocalAssembler &assembler, const Context< BasisFunctionType, ResultType > &context) const |
Assemble the operator's weak form using a specified local assembler. 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 ElementarySingularIntegralOperator < BasisFunctionType_, KernelType_, 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::ElementaryIntegralOperator< BasisFunctionType_, KernelType_, 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. | |
Standard implementation of an elementary singular integral operator.
This class provides an implementation of the interface defined by ElementarySingularIntegralOperator that is sufficient for most purposes. The constructor takes four functor objects representing the four elements of the operator's weak form (collection of kernels, collections of test and trial function transformations, and the weak form integrand). These functors are used to construct instances of appropriate instantiations of DefaultCollectionOfKernels, DefaultCollectionOfShapesetTransformations and DefaultTestKernelTrialIntegral. These objects are stored as private member variables and are returned by the implementations of the virtual methods kernels(), testTransformations(), trialTransformations() and integral().
BasisFunctionType_ | Type of the values of the (components of the) basis functions into which functions acted upon by the operator are expanded. |
KernelType_ | Type of the values of the (components of the) kernel functions occurring in the integrand of the operator. |
ResultType_ | Type used to represent elements of the weak form of the operator. |
All three template parameters can take the following values: float
, double
, std::complex<float>
and std::complex<double>
. All types must have the same precision: for instance, mixing float
with std::complex<double>
is not allowed. If either BasisFunctionType_
or KernelType_
is a complex type, then ResultType_
must be set to the same type.
typedef Base::CollectionOfBasisTransformations Bempp::GeneralElementarySingularIntegralOperator< BasisFunctionType_, KernelType_, ResultType_ >::CollectionOfBasisTransformations |
Type of the appropriate instantiation of Fiber::CollectionOfBasisTransformations.
typedef Base::CollectionOfKernels Bempp::GeneralElementarySingularIntegralOperator< BasisFunctionType_, KernelType_, ResultType_ >::CollectionOfKernels |
Type of the appropriate instantiation of Fiber::CollectionOfKernels.
typedef Base::CollectionOfShapesetTransformations Bempp::GeneralElementarySingularIntegralOperator< BasisFunctionType_, KernelType_, ResultType_ >::CollectionOfShapesetTransformations |
Type of the appropriate instantiation of Fiber::CollectionOfShapesetTransformations.
typedef Base::CoordinateType Bempp::GeneralElementarySingularIntegralOperator< BasisFunctionType_, KernelType_, ResultType_ >::CoordinateType |
Type used to represent coordinates.
typedef Base::ResultType Bempp::GeneralElementarySingularIntegralOperator< BasisFunctionType_, KernelType_, ResultType_ >::ResultType |
Type used to represent elements of the weak form of the operator.
typedef Base::TestKernelTrialIntegral Bempp::GeneralElementarySingularIntegralOperator< BasisFunctionType_, KernelType_, ResultType_ >::TestKernelTrialIntegral |
Type of the appropriate instantiation of Fiber::TestKernelTrialIntegral.
Bempp::GeneralElementarySingularIntegralOperator< BasisFunctionType_, KernelType_, ResultType_ >::GeneralElementarySingularIntegralOperator | ( | 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, | ||
const KernelFunctor & | kernelFunctor, | ||
const TestTransformationsFunctor & | testTransformationsFunctor, | ||
const TrialTransformationsFunctor & | trialTransformationsFunctor, | ||
const IntegrandFunctor & | integrandFunctor | ||
) |
Constructor.
[in] | domain | Function space being the domain of the operator. |
[in] | range | Function space being the range of the operator. |
[in] | dualToRange | Function space dual to the the range of the operator. |
[in] | label | Textual label of the operator. If empty, a unique label is generated automatically. |
[in] | symmetry | Symmetry of the weak form of the operator. Can be any combination of the flags defined in the enumeration type Symmetry. |
[in] | kernelFunctor | A functor object to be used to evaluate the collection of kernels of this operator at a single pair of points. The KernelFunctor class must provide the interface defined in the documentation of DefaultCollectionOfKernels. |
[in] | testTransformationsFunctor | A functor object to be used to evaluate the collection of test function transformations at a single point. The TestTransformationsFunctor class must provide the interface defined in the documentation of DefaultCollectionOfShapesetTransformations. |
[in] | trialTransformationsFunctor | A functor object to be used to evaluate the collection of trial function transformations at a single point. The TrialTransformationsFunctor class must provide the interface defined in the documentation of DefaultCollectionOfShapesetTransformations. |
[in] | integrandFunctor | A functor object to be used to evaluate the integrand of the weak form at a single pair of points. The IntegrandFunctor class must provide the interface defined in the documentation of DefaultTestKernelTrialIntegral. |
None of the shared pointers may be null and the spaces range
and dualToRange
must be defined on the same grid, otherwise an exception is thrown.
The implementation of this constructor is contained in general_elementary_singular_integral_operator_imp.hpp. This header must be included in any file creating a new GeneralElementarySingularIntegralOperator object.
Bempp::GeneralElementarySingularIntegralOperator< BasisFunctionType_, KernelType_, ResultType_ >::GeneralElementarySingularIntegralOperator | ( | 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, | ||
const KernelFunctor & | kernelFunctor, | ||
const TestTransformationsFunctor & | testTransformationsFunctor, | ||
const TrialTransformationsFunctor & | trialTransformationsFunctor, | ||
const shared_ptr< Fiber::TestKernelTrialIntegral< BasisFunctionType_, KernelType_, ResultType_ > > & | integral | ||
) |
This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.
This constructor takes the same arguments as the preceding one except for the integral
argument, which should be a shared pointer to an instance of (a subclass of) Fiber::TestKernelTrialIntegral.
Bempp::GeneralElementarySingularIntegralOperator< BasisFunctionType_, KernelType_, ResultType_ >::GeneralElementarySingularIntegralOperator | ( | 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, | ||
const shared_ptr< Fiber::CollectionOfKernels< KernelType_ > > & | kernels, | ||
const shared_ptr< Fiber::CollectionOfShapesetTransformations< CoordinateType > > & | testTransformations, | ||
const shared_ptr< Fiber::CollectionOfShapesetTransformations< CoordinateType > > & | trialTransformations, | ||
const shared_ptr< Fiber::TestKernelTrialIntegral< BasisFunctionType_, KernelType_, ResultType_ > > & | integral | ||
) |
This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.
This constructor takes the same first five arguments as the preceding ones, but the last four arguments should be shared pointers to instances of Fiber::CollectionOfKernels, Fiber::CollectionOfShapesetTransformations and Fiber::TestKernelTrialIntegral.
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inlinevirtual |
Return an object representing the integral that is the weak form of this operator.
Subclasses of TestKernelTrialIntegral implement functions that evaluate the integral using the data provided by a CollectionOfKernels representing the kernel functions occurring in the integrand and a pair of CollectionOfShapesetTransformations objects representing the test and trial function transformations occurring in the integrand.
Implements Bempp::ElementaryIntegralOperator< BasisFunctionType_, KernelType_, ResultType_ >.