Form language (integration and assembly)

Description

Definition of (bi)-linear form assemblers by integration.

Collaboration diagram for Form language (integration and assembly):

Classes
class	Dune::Fufem::Forms::IntegratedBilinearForm< BilinearOperator, Domain >
	Local assembler corresponding to a bulk bilinear form. More...
class	Dune::Fufem::Forms::IntegratedBoundaryBilinearForm< BilinearOperator, Domain >
	Local assembler corresponding to a boundary bilinear form. More...
class	Dune::Fufem::Forms::IntegratedBoundaryLinearForm< LinearOperator, Domain >
	Local assembler corresponding to a boundary linear form. More...
class	Dune::Fufem::Forms::IntegratedLinearForm< LinearOperator, Domain >
	Local assembler corresponding to a bulk linear form. More...
class	Dune::Fufem::Forms::IntegratedSkeletonBilinearForm< BilinearOperator, Patch >
	Local assembler corresponding to a skeleton bilinear form. More...
class	Dune::Fufem::Forms::IntegratedSkeletonLinearForm< LinearOperator, Patch >
	Local assembler corresponding to a skeleton linear form. More...
class	Dune::Fufem::Forms::LocalSumAssembler< LocalAssemblers >
	Sum of local assemblers obtained using Dune::Fufem::Forms::integrate(...) More...

Functions
template<class MultilinearOperator , class Domain > requires isOperatorOrSumOperator_v<MultilinearOperator> && IsDomain<Domain>
::value auto	Dune::Fufem::Forms::integrate (MultilinearOperator op, const Domain &domain)
	Integrate a k-linear operator to obtain a k-linear form.
template<class MultilinearOperator , std::enable_if_t< isOperatorOrSumOperator_v< MultilinearOperator >, int > = 0>
auto	Dune::Fufem::Forms::integrate (MultilinearOperator op)
	Integrate a k-linear operator to obtain a k-linear form.

Variables
constexpr Bulk	Dune::Fufem::Forms::bulk = {}
	Object representing the full grid view as integration domain.
constexpr Boundary	Dune::Fufem::Forms::boundary = {}
	Object representing the full grid view boundary as integration domain.
constexpr Skeleton	Dune::Fufem::Forms::skeleton = {}
	Object representing the full grid view skeleton as integration domain.

Function Documentation

integrate() [1/2]

template<class MultilinearOperator , std::enable_if_t< isOperatorOrSumOperator_v< MultilinearOperator >, int > = 0>

auto Dune::Fufem::Forms::integrate

(

MultilinearOperator

op

)

Integrate a k-linear operator to obtain a k-linear form.

Parameters

op	The operator to integrate (should be a MultilinearOperator or SumOperator)

When passing a k-linear operator, the returned object is a local assembler for assembling the corresponding k-linear form.

This assembler created by this overload will compute bulk integrals over all elements of the underlying GridView.

Local assemblers of the same arity can be chained using operator+.

integrate() [2/2]

template<class MultilinearOperator , class Domain >
requires isOperatorOrSumOperator_v<MultilinearOperator> && IsDomain<Domain>

::value auto Dune::Fufem::Forms::integrate	(	MultilinearOperator	op,
		const Domain &	domain
	)

Integrate a k-linear operator to obtain a k-linear form.

Parameters

op	The operator to integrate (should be a MultilinearOperator or SumOperator)
domain	The integration domain

When passing a k-linear operator, the returned object is a local assembler for assembling the corresponding k-linear form. The domain object must satisfy IsBulkDomain, IsBoundaryDomain, or IsSkeletonDomain and the integration is done on the respective section of the grid. In particular one can use bulk, boundary, and skeleton to integrate over the whole bulk, boundary or skeleton, or a BoundaryPatch to integrate over a subset of the boundary. With dune-functions >= 2.11 one can also use a Dune::Functions::Experimental::SubDomain as bulk integration domain.

Local assemblers of the same arity can be chained using operator+.

Variable Documentation

boundary

constexpr Boundary Dune::Fufem::Forms::boundary = {}

inlineconstexpr

Object representing the full grid view boundary as integration domain.

bulk

constexpr Bulk Dune::Fufem::Forms::bulk = {}

inlineconstexpr

Object representing the full grid view as integration domain.

skeleton

constexpr Skeleton Dune::Fufem::Forms::skeleton = {}

inlineconstexpr

Object representing the full grid view skeleton as integration domain.