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

Classes
class	GridFunctionOperatorBase< Derived, LC, GF >
	The main implementation of an CRTP-base class for operators using a grid-function coefficient to be used in an Assembler. More...

class	GridFunctionOperatorTransposed< Derived, Transposed >
	The transposed operator, implemented in term of its transposed by calling getElementMatrix with inverted arguments. More...

struct	PreGridFunctionOperator< Tag, PreGridFct, PQF >

class	LocalOperator< Derived, LC >
	The main implementation of an operator to be used in a Assembler. More...

class	ConvectionDiffusionOperator< LC, GridFctA, GridFctB, GridFctC, GridFctF, conserving >

struct	PreConvectionDiffusionOperator< PreGridFctA, PreGridFctB, PreGridFctC, PreGridFctF, c >

class	GridFunctionOperator< tag::divtestvec, LC, GridFct >
	first-order operator \( \langle\nabla\cdot\Psi, c\rangle \) More...

class	GridFunctionOperator< tag::divtestvec_trial, LC, GridFct >
	first-order operator \( \langle\nabla\cdot\Psi, c\,\phi\rangle \) More...

class	GridFunctionOperator< tag::gradtest, LC, GridFct >
	first-order operator \( \langle\nabla\psi, b\rangle \) More...

class	GridFunctionOperator< tag::gradtest_trial, LC, GridFct >
	first-order operator \( \langle\nabla\psi, \mathbf{b}\,\phi\rangle \) More...

class	GridFunctionOperator< tag::gradtest_trialvec, LC, GridFct >
	first-order operator \( \langle\nabla\psi, c\,\Phi\rangle \) More...

class	GridFunctionOperator< tag::partialtest, LC, GridFct >
	first-order operator \( \langle\partial_i\psi, c\rangle \) More...

class	GridFunctionOperator< tag::partialtest_trial, LC, GridFct >
	first-order operator \( \langle\partial_i\psi, c\,\phi\rangle \) More...

class	GridFunctionOperator< tag::test_divtrialvec, LC, GridFct >
	first-order operator \( \langle\psi, c\,\nabla\cdot\Phi\rangle \) More...

class	GridFunctionOperator< tag::test_gradtrial, LC, GridFct >
	first-order operator \( \langle\psi, \mathbf{b}\cdot\nabla\phi\rangle \) More...

class	GridFunctionOperator< tag::test_partialtrial, LC, GridFct >
	first-order operator \( \langle\psi, c\,\partial_i\phi\rangle \) More...

class	GridFunctionOperator< tag::testvec_gradtrial, LC, GridFct >
	first-order operator \( \langle\Psi, c\,\nabla\phi\rangle \) More...

class	GridFunctionOperator< tag::divtestvec_divtrialvec, LC, GridFct >
	second-order operator \( \langle\nabla\cdot\Psi, c\,\nabla\cdot\Phi\rangle \) More...

class	GridFunctionOperator< tag::gradtest_gradtrial, LC, GridFct >
	second-order operator \( \langle\nabla\psi, c\,\nabla\phi\rangle \), or \( \langle\nabla\psi, A\,\nabla\phi\rangle \) More...

class	GridFunctionOperator< tag::partialtest_partialtrial, LC, GridFct >
	second-order operator \( \langle\partial_i\psi, c\,\partial_j\phi\rangle \) More...

class	GridFunctionOperator< tag::stokes, LC, ViscosityExpr >
	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...

class	GridFunctionOperator< tag::test, LC, GridFct >
	zero-order vector-operator \( (c\, \psi) \) More...

class	GridFunctionOperator< tag::test_trial, LC, GridFct >
	zero-order operator \( \langle\psi, c\,\phi\rangle \) More...

class	GridFunctionOperator< tag::test_trialvec, LC, GridFct >
	zero-order operator \( \langle\psi, \mathbf{b}\cdot\Phi\rangle \) More...

class	GridFunctionOperator< tag::testvec, LC, GridFct >
	zero-order vector-operator \( (\mathbf{b}\cdot\Psi) \) More...

class	GridFunctionOperator< tag::testvec_trial, LC, GridFct >
	zero-order operator \( \langle\Psi, \mathbf{b}\,\phi\rangle \) More...

class	GridFunctionOperator< tag::testvec_trialvec, LC, GridFct >
	zero-order operator \( \langle\Psi, c\,\Phi\rangle \), or \( \langle\Psi, A\,\Phi\rangle \) More...

Typedefs
using	LocalContext = LC
	The element or intersection the operator is assembled on.

using	Element = typename ContextType::Entity
	The codim=0 grid entity.

using	Geometry = typename Element::Geometry
	The geometry of the Element.

Functions
template<class Tag , class Expr , class... QuadratureArgs>
auto	makeOperator (Tag tag, Expr &&expr, QuadratureArgs &&... args)
	Store tag and expression into a PreGridFunctionOperator to create a GridFunctionOperator.

template<class GridView >
void	init (GridView const &gridView)
	Initialize the local operator on the current gridView.

void	bind (Element const &element, Geometry const &geometry)
	Binds operator to `element` and `geometry`. More...

void	unbind ()
	Unbinds operator from element.

template<class CG , class RN , class CN , class Mat >
void	calculateElementMatrix (CG const &contextGeo, RN const &rowNode, CN const &colNode, Mat &elementMatrix)
	Assemble a local element matrix on the element that is bound. More...

template<class CG , class Node , class Vec >
void	calculateElementVector (CG const &contextGeo, Node const &node, Vec &elementVector)
	Assemble a local element vector on the element that is bound. More...

Derived &	derived ()

Derived const &	derived () const

template<class GridView >
void	init_impl (GridView const &)

template<class Element , class Geometry >
void	bind_impl (Element const &, Geometry const &)

void	unbind_impl ()

template<class RN , class CN >
int	getDegree (int derivOrder, int coeffDegree, RN const &rowNode, CN const &colNode) const
	Return the quadrature degree for a matrix operator. More...

template<class Node >
int	getDegree (int derivOrder, int coeffDegree, Node const &node) const
	Return the quadrature degree for a vector operator. More...

template<class Derived , class LC , class GV >
auto	makeLocalOperator (LocalOperator< Derived, LC > const &localOp, GV const &)
	Generate a LocalOperator from a PreOperator. More...

template<class PreGridFctA , class PreGridFctB , class PreGridFctC , class PreGridFctF , bool conserving = true>
auto	convectionDiffusion (PreGridFctA const &gridFctA, PreGridFctB const &gridFctB, PreGridFctC const &gridFctC, PreGridFctF const &gridFctF, bool_t< conserving >={})

template<class Context , class... T, class GridView >
auto	makeLocalOperator (PreConvectionDiffusionOperator< T... > pre, GridView const &gridView)

template<class Expr , class... QuadratureArgs>
auto	fot (Expr &&expr, tag::grad_test, QuadratureArgs &&... args)
	Create a first-order term with derivative on trial-function.

template<class Expr , class... QuadratureArgs>
auto	fot (Expr &&expr, tag::partial_test t, QuadratureArgs &&... args)
	Create a first-order term with derivative on trial-function.

template<class Expr , class... QuadratureArgs>
auto	fot (Expr &&expr, tag::grad_trial, QuadratureArgs &&... args)
	Create a first-order term with derivative on test-function.

template<class Expr , class... QuadratureArgs>
auto	fot (Expr &&expr, tag::partial_trial t, QuadratureArgs &&... args)
	Create a first-order term with derivative on trial-function.

template<class Expr , class... QuadratureArgs>
auto	sot (Expr &&expr, QuadratureArgs &&... args)
	Create a second-order term.

template<class Expr , class... QuadratureArgs>
auto	sot_ij (Expr &&expr, std::size_t comp_test, std::size_t comp_trial, QuadratureArgs &&... args)
	Create a second-order term of partial derivatives.

template<class Expr , class... QuadratureArgs>
auto	zot (Expr &&expr, QuadratureArgs &&... args)
	Create a zero-order term.

Variables
bool	isSimplex_ = false

bool	isAffine_ = false

bool	bound_ = false

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

◆ bind()

void bind	(	Element const &	element,
		Geometry const &	geometry
	)

inline

Binds operator to element and geometry.

Binding an operator to the currently visited element in grid traversal. Since all operators need geometry information, the Element::Geometry object geometry is created once, during grid traversal, and passed in.

By default, it binds the localFct_ to the element.

◆ calculateElementMatrix()

void calculateElementMatrix	(	CG const &	contextGeo,
		RN const &	rowNode,
		CN const &	colNode,
		Mat &	elementMatrix
	)

inline

Assemble a local element matrix on the element that is bound.

Parameters

contextGeo	Container for geometry related data, ContextGeometry
rowNode	The node of the test-basis
colNode	The node of the trial-basis
elementMatrix	The output element matrix

◆ calculateElementVector()

void calculateElementVector	(	CG const &	contextGeo,
		Node const &	node,
		Vec &	elementVector
	)

inline

Assemble a local element vector on the element that is bound.

Parameters

contextGeo	Container for geometry related data ContextGeometry
node	The node of the test-basis
elementVector	The output element vector

◆ getDegree() [1/2]

int getDegree	(	int	derivOrder,
		int	coeffDegree,
		RN const &	rowNode,
		CN const &	colNode
	)		const

inlineprotected

Return the quadrature degree for a matrix operator.

The quadrature degree that is necessary, to integrate the expression multiplied with (possibly derivatives of) shape functions. Thus it needs the order of derivatives, this operator implements.

Template Parameters

RN	RowNode
CN	ColNode

Referenced by GridFunctionOperatorBase< GridFunctionOperator< tag::test_gradtrial, LC, GridFct >, LC, GridFct >::getQuadratureRule().

◆ getDegree() [2/2]

int getDegree	(	int	derivOrder,
		int	coeffDegree,
		Node const &	node
	)		const

inlineprotected

Return the quadrature degree for a vector operator.

The quadrature degree that is necessary, to integrate the expression multiplied with (possibly derivatives of) shape functions. Thus it needs the order of derivatives, this operator implements.

◆ makeLocalOperator()

auto AMDiS::makeLocalOperator	(	LocalOperator< Derived, LC > const &	localOp,
		GV const &
	)

Generate a LocalOperator from a PreOperator.

Template Parameters

Derived	Implementation of LocalOperator
LC	LocalContext
GV	GridView

Classes

Typedefs

Functions

Variables

Detailed Description

Function Documentation

◆ bind()

◆ calculateElementMatrix()

◆ calculateElementVector()

◆ getDegree() [1/2]

◆ getDegree() [2/2]

◆ makeLocalOperator()