hp2D::NeumannTraceSpace Class Reference

#include <neumannTraceSpace.hh>

Inheritance diagram for hp2D::NeumannTraceSpace:

Public Types
typedef concepts::Scan< hp1D::BaseElement< Real > >	Scan
typedef concepts::ElementAndFacette< hp2D::Element< Real > >	UnderlyingElement
typedef concepts::ElementAndFacette< concepts::Edge >	UnderlyingEdge
typedef ElementWithCell< Real >	type
typedef Scan< ElementWithCell< Real > >	Scanner

Public Member Functions
	NeumannTraceSpace (const concepts::SpaceOnCells< Real > &spc, const concepts::Set< uint > edgeAttr, enum concepts::EdgeTraceType::traceTypes type=concepts::EdgeTraceType::FIRST, const concepts::EdgeNormalVectorRule &normalVectorRule=concepts::EdgeNormalVectorRule(), bool emptyElm=true)
	NeumannTraceSpace (const GridInfo< Real > &gInfo, uint sDim, enum concepts::EdgeTraceType::traceTypes type=concepts::EdgeTraceType::FIRST, const concepts::EdgeNormalVectorRule &normalVectorRule=concepts::EdgeNormalVectorRule(), bool emptyElm=true)
	NeumannTraceSpace (concepts::SpaceOnCells< Real > &spc, const concepts::EdgeTraceTypes &ettypes, bool emptyElm=true)
virtual	~NeumannTraceSpace ()
virtual uint	dim () const
virtual uint	nelm () const
virtual Scan *	scan () const
const concepts::Sequence< UnderlyingElement >	uelm (const concepts::Edge edge) const
virtual void	recomputeShapefunctions ()
virtual uint	getOutputDimension () const
	Returns the default output dimension, when we consider plotting a real-valued operator on this space.

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.

Detailed Description

A the NeumannTrace space of a given 2D - Finite Element space. The elements are from type hp2D::Edge. One can restrict the trace operation by EdgeTraceTypes or via Attributes and a EdgeNormalVectorRule. If the FE space is rebuild, one has to construct the NeumannTraceSpace again. Additonally a map from the topological edge to the set of the underlying elements is stored.

Space can be builded on irregular spaces, i.e. with k-irregular mesh with hanging nodes.

Caution: Coarse irregular elements are currently not space members, that must be taken into account when using the space in ElementFormulaVector, Linearforms, Bilinearforms or integration

Author

Gruhlke, Robert, 2013, 2016

Definition at line 51 of file neumannTraceSpace.hh.

Member Typedef Documentation

Scan

typedef concepts::Scan<hp1D::BaseElement<Real> > hp2D::NeumannTraceSpace::Scan

Definition at line 53 of file neumannTraceSpace.hh.

Scanner

typedef Scan<ElementWithCell<Real > > concepts::SpaceOnCells< Real >::Scanner

inherited

Definition at line 84 of file space.hh.

type

typedef ElementWithCell<Real > concepts::SpaceOnCells< Real >::type

inherited

Definition at line 83 of file space.hh.

UnderlyingEdge

typedef concepts::ElementAndFacette<concepts::Edge> hp2D::NeumannTraceSpace::UnderlyingEdge

Definition at line 55 of file neumannTraceSpace.hh.

UnderlyingElement

typedef concepts::ElementAndFacette<hp2D::Element<Real> > hp2D::NeumannTraceSpace::UnderlyingElement

Definition at line 54 of file neumannTraceSpace.hh.

Constructor & Destructor Documentation

NeumannTraceSpace() [1/3]

hp2D::NeumannTraceSpace::NeumannTraceSpace	(	const concepts::SpaceOnCells< Real > &	spc,
		const concepts::Set< uint >	edgeAttr,
		enum concepts::EdgeTraceType::traceTypes	type = concepts::EdgeTraceType::FIRST,
		const concepts::EdgeNormalVectorRule &	normalVectorRule = concepts::EdgeNormalVectorRule(),
		bool	emptyElm = true
	)

Constructor

This builds a NeumannTraceSpace only for edges with attributes that are requested.

The EdgeTraceType can be FIRST, MEAN, JUMP or PLUS and MINUS. Since the EdgeNormalVectorRule in a sense is constant for all requested edges, you have to think about the Meaning of these Traces then, since they are also defined with the help of the first underlying Element. Alternativly one uses the second Constructor.

This Constructor may easy applicate for Boundary Elements with a FIRST neumanntrace, since these elements only have up to one underlying Element.

Additional a Flag for empty Elements is given, that controls the build up of Elements with no degrees of freedoms on it. This might be used for graphical Output.

Parameters

spc	underlying Finite Element Space
edgeAttr	set of requested edge attributes
traceTypes	the type of NeumannTrace, i.e. FIRST,MEAN,JUMP,PLUS,MINUS
normalVectorRule	Given rule for the Normalvector behaviour
emptyElm	Flag to control build of empty Elements

NeumannTraceSpace() [2/3]

hp2D::NeumannTraceSpace::NeumannTraceSpace	(	const GridInfo< Real > &	gInfo,
		uint	sDim,
		enum concepts::EdgeTraceType::traceTypes	type = concepts::EdgeTraceType::FIRST,
		const concepts::EdgeNormalVectorRule &	normalVectorRule = concepts::EdgeNormalVectorRule(),
		bool	emptyElm = true
	)

Constructor

Parameters

gInfo	External build grid Info, contains attribute data
sDim	space dimension of space on which gInfo is built
traceTypes	the type of NeumannTrace, i.e. FIRST,MEAN,JUMP,PLUS,MINUS
normalVectorRule	Given rule for the Normalvector behaviour

NeumannTraceSpace() [3/3]

hp2D::NeumannTraceSpace::NeumannTraceSpace	(	concepts::SpaceOnCells< Real > &	spc,
		const concepts::EdgeTraceTypes &	ettypes,
		bool	emptyElm = true
	)

Constructor

This builds a NeumannTraceSpace for edges that are requested in the EdgeTraceTypes semantic.

The EdgeTraceType can be FIRST, MEAN, JUMP or PLUS and MINUS for different edges with different attributes. In opposite to the first constructor the EdgeNormalVectorRule is not constant, since they can vary for each Attribute. This is controlled with the EdgeTraceTypes variable.

This constructor may is the choice when building a NeumannTraceSpace on a Finite Element Space with different material attributes.

Additional a Flag for empty Elements is given, that controls the build up of Elements with no degrees of freedoms on it. This might be used for graphical Output.

Parameters

spc	underlying Finite Element Space
edgeAttr	set of requested edge attributes
traceTypes	the type of NeumannTrace, i.e. FIRST,MEAN,JUMP,PLUS,MINUS
normalVectorRule	Given rule for the Normalvector behaviour
emptyElm	Flag to control build of empty Elements

~NeumannTraceSpace()

virtual hp2D::NeumannTraceSpace::~NeumannTraceSpace ( )

virtual

Deconstructor

Member Function Documentation

dim()

virtual uint hp2D::NeumannTraceSpace::dim ( ) const

inlinevirtual

Returns the dimension of the underlying Finite Element Space

Implements concepts::SpaceOnCells< Real >.

Definition at line 129 of file neumannTraceSpace.hh.

getOutputDimension()

template<class F >

virtual uint concepts::Space< F >::getOutputDimension ( ) const

inlinevirtualinherited

Returns the default output dimension, when we consider plotting a real-valued operator on this space.

Reimplemented in hp2D::hpAdaptiveSpaceHCurl, and hp2Dedge::Space.

Definition at line 50 of file space.hh.

info()

virtual std::ostream & hp2D::NeumannTraceSpace::info ( std::ostream &  os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::SpaceOnCells< Real >.

nelm()

virtual uint hp2D::NeumannTraceSpace::nelm ( ) const

inlinevirtual

Returns the number of NeumannTraceElements in the Space

Implements concepts::SpaceOnCells< Real >.

Definition at line 136 of file neumannTraceSpace.hh.

recomputeShapefunctions()

virtual void hp2D::NeumannTraceSpace::recomputeShapefunctions ( )

virtual

Recompute shape functions, e.g. for other abscissas redefined through setIntegrationRule

scan()

virtual Scan * hp2D::NeumannTraceSpace::scan ( ) const

inlinevirtual

Returns a scanner to iterate over the elements of the space

Implements concepts::SpaceOnCells< Real >.

Definition at line 143 of file neumannTraceSpace.hh.

uelm()

const concepts::Sequence< UnderlyingElement > hp2D::NeumannTraceSpace::uelm ( const concepts::Edge  edge ) const

inline

Returns the underlying 2D elements of the given edge if existing.

Definition at line 150 of file neumannTraceSpace.hh.

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The documentation for this class was generated from the following file:

• hp2D/neumannTraceSpace.hh