Form language (pointwise linear operators)

Description

Pointwise defined linear operators.

Collaboration diagram for Form language (pointwise linear operators):

Classes
class	Dune::Fufem::Forms::RangeOperator< OuterOp >
	Adaptor for making a callback compatible with Dune::Fufem::Forms. More...

Functions
template<class OuterOp , class InnerOp , std::enable_if_t< isOperatorOrSumOperator_v< InnerOp >, int > = 0, std::enable_if_t< Dune::IsCallable< OuterOp(typename InnerOp::Range)>::value, int > = 0>
auto	Dune::Fufem::Forms::compose (const OuterOp &outerOp, const InnerOp &innerOp)
	Generic composition of a multilinear operators with a pointwise outer operator.
template<class Op >
auto	Dune::Fufem::Forms::transpose (const Op &op)
	Transform an operator by pointwise matrix transposition.
template<class Op >
auto	Dune::Fufem::Forms::symmetrize (const Op &op)
	Transform an operator by pointwise matrix symmetrization.
template<class Op >
auto	Dune::Fufem::Forms::trace (const Op &op)
	Transform an operator by pointwise computation of the matrix trace.

Function Documentation

compose()

template<class OuterOp , class InnerOp , std::enable_if_t< isOperatorOrSumOperator_v< InnerOp >, int > = 0, std::enable_if_t< Dune::IsCallable< OuterOp(typename InnerOp::Range)>::value, int > = 0>

auto Dune::Fufem::Forms::compose	(	const OuterOp &	outerOp,
		const InnerOp &	innerOp
	)

Generic composition of a multilinear operators with a pointwise outer operator.

Parameters

outerOp	Pointwise outer operator
innerOp	Inner operator (should be a MultilinearOperator or SumOperator)

Given an m-linear operator innerOp this returns another m-linear operator, where outerOp is applied pointwise in the associated function space range.

symmetrize()

template<class Op >

auto Dune::Fufem::Forms::symmetrize

(

const Op &

op

)

Transform an operator by pointwise matrix symmetrization.

Parameters

op	The operator to transform (should be a constant, MultilinearOperator, or SumOperator)

Given an m-linear operator op this returns another m-linear operator, where a pointwise transformation is applied in the associated function space range. If op is a constant, the transformation is applied directly. The pointwise transformation applies a matrix symmetrization.

trace()

template<class Op >

auto Dune::Fufem::Forms::trace

(

const Op &

op

)

Transform an operator by pointwise computation of the matrix trace.

Parameters

op	The operator to transform (should be a constant, MultilinearOperator, or SumOperator)

Given an m-linear operator op this returns another m-linear operator, where a pointwise transformation is applied in the associated function space range. If op is a constant, the transformation is applied directly. The pointwise transformation computes the matrix trace.

transpose()

template<class Op >

auto Dune::Fufem::Forms::transpose

(

const Op &

op

)

Transform an operator by pointwise matrix transposition.

Parameters

op	The operator to transform (should be a constant, MultilinearOperator, or SumOperator)

Given an m-linear operator op this returns another m-linear operator, where a pointwise transformation is applied in the associated function space range. If op is a constant, the transformation is applied directly. The pointwise transformation applies a matrix transposition.