Operator module

Defines operators to be assembled in the matrix/vector. More...

Classes
class	GridFunctionLocalOperator< LF, Imp >
	The main implementation of a local-operator depending on a local-function. More...
class	GridFunctionOperator< GF, Imp >
	The main implementation of an operator depending on a grid-function. More...
struct	GridFunctionOperatorRegistry< Tag, LocalContext >
	Registry to specify a tag for each implementation type. More...
struct	OperatorTerm< Tag, Expr >
class	LocalOperator< Traits, Nodes >
	The base class for a local operator to be used in a Assembler. More...
class	Operator< Traits, Nodes >
	The base class for an operator to be used in an Assembler. More...
class	VariadicGridFunctionLocalOperator< Imp, LF >
	A LocalOperator parametrized by multiple LocalFunctions. More...
class	VariadicGridFunctionOperator< Imp, GF >
	The main implementation of an operator depending on a variadic number of GridFunctions. More...
struct	VariadicGridFunctionOperatorRegistry< Tag, LocalContext >
	Registry to specify a tag for each implementation type. More...
struct	VariadicOperatorTerm< Tag, Expr >
	Intermediate representation for the operator. Essentially this just stores the tag and the GridFunctions as a key for a Factory. More...
class	ConvectionDiffusion< conserving >
struct	VariadicGridFunctionOperatorRegistry< tag::convectionDiffusion< conserving >, LC >
class	FirstOrderDivTestVec
	first-order operator \( \langle\nabla\cdot\Psi, c\rangle \) More...
struct	GridFunctionOperatorRegistry< tag::divtestvec, LC >
struct	GridFunctionOperatorRegistry< tag::divtestvec_trial, LC >
	first-order operator \( \langle\nabla\cdot\Psi, c\,\phi\rangle \) More...
class	FirstOrderGradTest
	first-order operator \( \langle\nabla\psi, b\rangle \) More...
struct	GridFunctionOperatorRegistry< tag::gradtest, LC >
struct	GridFunctionOperatorRegistry< tag::gradtest_trial, LC >
	first-order operator \( \langle\nabla\cdot\Psi, c\,\phi\rangle \) More...
struct	GridFunctionOperatorRegistry< tag::gradtest_trialvec, LC >
	first-order operator \( \langle\nabla\psi, c\,\Phi\rangle \) More...
class	FirstOrderPartialTest
	first-order operator \( \langle\partial_i\psi, c\rangle \) More...
struct	GridFunctionOperatorRegistry< tag::partialtest, LC >
struct	GridFunctionOperatorRegistry< tag::partialtest_trial, LC >
	first-order operator \( \langle\partial_i\psi, c\,\phi\rangle \) More...
class	FirstOrderTestDivTrialvec
	first-order operator \( \langle\psi, c\,\nabla\cdot\Phi\rangle \) More...
struct	GridFunctionOperatorRegistry< tag::test_divtrialvec, LC >
class	FirstOrderTestGradTrial
	first-order operator \( \langle\psi, \mathbf{b}\cdot\nabla\phi\rangle \) More...
struct	GridFunctionOperatorRegistry< tag::test_gradtrial, LC >
class	FirstOrderTestPartialTrial
	first-order operator \( \langle\psi, c\,\partial_i\phi\rangle \) More...
struct	GridFunctionOperatorRegistry< tag::test_partialtrial, LC >
class	FirstOrderTestvecGradTrial
	first-order operator \( \langle\Psi, c\,\nabla\phi\rangle \) More...
struct	GridFunctionOperatorRegistry< tag::testvec_gradtrial, LC >
class	SecondOrderDivTestvecDivTrialvec
	second-order operator \( \langle\nabla\cdot\Psi, c\,\nabla\cdot\Phi\rangle \) More...
struct	GridFunctionOperatorRegistry< tag::divtestvec_divtrialvec, LC >
class	SecondOrderGradTestGradTrial
	second-order operator \( \langle\nabla\psi, c\,\nabla\phi\rangle \), or More...
struct	GridFunctionOperatorRegistry< tag::gradtest_gradtrial, LC >
class	SecondOrderPartialTestPartialTrial
	second-order operator \( \langle\partial_i\psi, c\,\partial_j\phi\rangle \) More...
struct	GridFunctionOperatorRegistry< tag::partialtest_partialtrial, LC >
class	StokesOperator
	Stokes operator \( \langle\nabla\mathbf{v}, \nu \nabla\mathbf{u}\rangle + \langle\nabla\cdot\mathbf{v}, p\rangle + \langle q, \langle\nabla\cdot\mathbf{u}\rangle \). More...
struct	GridFunctionOperatorRegistry< tag::stokes, LC >
class	ZeroOrderTest
	zero-order vector-operator \( (c\, \psi) \) More...
struct	GridFunctionOperatorRegistry< tag::test, LC >
class	ZeroOrderTestTrial
	zero-order operator \( \langle\psi, c\,\phi\rangle \) More...
struct	GridFunctionOperatorRegistry< tag::test_trial, LC >
class	ZeroOrderTestTrialvec
	zero-order operator \( \langle\psi, \mathbf{b}\cdot\Phi\rangle \) More...
struct	GridFunctionOperatorRegistry< tag::test_trialvec, LC >
class	ZeroOrderTestVec
	zero-order vector-operator \( (\mathbf{b}\cdot\Psi) \) More...
struct	GridFunctionOperatorRegistry< tag::testvec, LC >
struct	GridFunctionOperatorRegistry< tag::testvec_trial, LC >
	zero-order operator \( \langle\Psi, \mathbf{b}\,\phi\rangle \) More...
class	ZeroOrderTestvecTrialvec
	zero-order operator \( \langle\Psi, c\,\Phi\rangle \), or \( \langle\Psi, A\,\Phi\rangle \) More...
struct	GridFunctionOperatorRegistry< tag::testvec_trialvec, LC >

Typedefs
using	GridView = typename Traits::GridView

Functions
template<class GridFct , class Impl >
	GridFunctionOperator (GridFct const &gridFct, Impl const &impl, int, int) -> GridFunctionOperator< GridFct, Impl >
template<class LocalFct , class Impl >
	GridFunctionLocalOperator (LocalFct const &localFct, Impl const &impl, int, int) -> GridFunctionLocalOperator< LocalFct, Impl >
template<class Tag , class Expr >
auto	makeOperator (Tag const &tag, Expr &&expr, int gridFctDeg=-1)
template<class Tag , class Expr >
auto	operatorTerm (Tag const &tag, Expr &&expr, int gridFctDeg=-1)
template<class Impl , Dune::disableCopyMove< Operator, Impl > = 0>
	Operator (Impl &&impl)
	Constructor. Pass any type supporting the OperatorInterface.
	Operator ()=default
	Default Constructor.
void	update (GridView const &gv)
	Update the operator data on a GridView.
template<class LocalContext , class Op , class GV >
auto	makeOperator (Op op, GV const &gridView)
template<class... GridFct, class Impl >
	VariadicGridFunctionOperator (Impl const &impl, int, int, GridFct const &... gridFct) -> VariadicGridFunctionOperator< Impl, GridFct... >
template<class Impl , class... LocalFct>
	VariadicGridFunctionLocalOperator (Impl const &impl, int, int, LocalFct const &... localFct) -> VariadicGridFunctionLocalOperator< Impl, LocalFct... >
template<class Tag , class... Expr>
auto	makeOperator (Tag const &tag, int gridFctDeg, Expr const &... expr) -> std::enable_if_t< sizeof...(Expr) !=1, VariadicOperatorTerm< Tag, Expr... > >
	Generator function for Operatorterms This is the user entry to the class. Any Local Operator implementation that has a corresponding specialization of the 'VariadicGridFunctionOperatorRegistry' can be piped through this factory pattern.
template<bool conserving = true, class PreGridFctA , class PreGridFctB , class PreGridFctC , class PreGridFctF >
auto	convectionDiffusion (PreGridFctA const &gridFctA, PreGridFctB const &gridFctB, PreGridFctC const &gridFctC, PreGridFctF const &gridFctF, int gridFctDegree=-1, bool_t< conserving >={})
	Generator function for constructing a Convection-Diffusion Operator.
template<class Expr >
auto	fot (Expr &&expr, tag::grad_test, int quadOrder=-1)
	Create a first-order term with derivative on trial-function.
template<class Expr >
auto	fot (Expr &&expr, tag::partial_test t, int quadOrder=-1)
	Create a first-order term with derivative on trial-function.
template<class Expr >
auto	fot (Expr &&expr, tag::grad_trial, int quadOrder=-1)
	Create a first-order term with derivative on test-function.
template<class Expr >
auto	fot (Expr &&expr, tag::partial_trial t, int quadOrder=-1)
	Create a first-order term with derivative on trial-function.
template<class Expr >
Create a second order term auto	sot (Expr &&expr, int quadOrder=-1)
template<class Expr >
auto	sot_ij (Expr &&expr, std::size_t comp_test, std::size_t comp_trial, int quadOrder=-1)
	Create a second-order term of partial derivatives.
template<class Expr >
auto	zot (Expr &&expr, int quadOrder=-1)
	Create a zero-order term.

Friends
LocalOperator< Traits, Nodes... >	localOperator (Operator const &op)
	Transform an operator into a local-operator.

Detailed Description

Defines operators to be assembled in the matrix/vector.

An Operator is a class providing methods necessary for assembling:

• bind(Element, Geometry) and unbind() for binding an unbinding the element to (from) an GridView entity of codim 0. Additionally the Geometry object of the element is provided.
• getQuadratureRule(Nodes...) factory for the quadrature rules used in assembling the operator on the element. Nodes... is either {RowNode, ColNode} for Matrix-Operators or {Node} for a Vector-Operator.
• calculateElementVector(ContextGeometry, QuadratureRule, ElementVector, Node) where the ContextGeometry provides a reference to the ElementGeometry and geometry of the LocalContext (that can be different), or
• calculateElementMatrix(ContextGeometry, QuadratureRule, ElementMatrix, RowNode, ColNode, Flags...) Same as for calculateElementVector but additionally two optimization flags are provided as bool_t<...> type:
  • sameFE: the FiniteElementSpace of RowNode and ColNode are the same.
  • sameNode: the nodes are the same in the GlobalBasis-tree.

Function Documentation

makeOperator() [1/2]

template<class Tag , class Expr >

auto makeOperator	(	Tag const &	tag,
		Expr &&	expr,
		int	gridFctDeg = -1
	)

Store tag and expression into a OperatorTerm to create a GridFunctionOperator

Referenced by AMDiS::fot(), AMDiS::fot(), AMDiS::fot(), AMDiS::fot(), AMDiS::sot_ij(), and AMDiS::zot().

makeOperator() [2/2]

template<class Tag , class... Expr>

auto makeOperator	(	Tag const &	tag,
		int	gridFctDeg,
		Expr const &...	expr
	)		-> std::enable_if_t<sizeof...(Expr) != 1, VariadicOperatorTerm<Tag, Expr...>>

Generator function for Operatorterms This is the user entry to the class. Any Local Operator implementation that has a corresponding specialization of the 'VariadicGridFunctionOperatorRegistry' can be piped through this factory pattern.

Note

compared to the single GridFunction 'makeOperator' here the order of arguments has changed!