Builds the trace space of an FE space. More...

#include <traces.hh>

Inheritance diagram for hp2D::TraceSpace:

Public Types
typedef concepts::Scan< hp1D::BaseElement< Real > >	Scan

typedef Scan< ElementWithCell< Real > >	Scanner

enum	traceTypes { FIRST, MEAN, JUMP }

typedef ElementWithCell< Real >	type

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

Public Member Functions
virtual uint	dim () const

virtual uint	dim () const=0
	Returns the dimension of the space. More...

virtual uint	getOutputDimension () const
	Returns the default output dimension, when we consider plotting a real-valued operator on this space. More...

virtual uint	nelm () const
	Returns the number of elements in the space. More...

virtual uint	nelm () const=0
	Returns the number of elements in the space. More...

virtual void	recomputeShapefunctions ()
	Recompute shape functions, e.g. More...

virtual Scan *	scan () const
	Returns a scanner to iterate over the elements of the space. More...

virtual Scanner *	scan () const=0
	Returns a scanner to iterate over the elements of the space. More...

	TraceSpace (concepts::SpaceOnCells< Real > &spc, const concepts::CellConditions *cc=0, enum traceTypes type=FIRST, const concepts::EdgeNormalVectorRule normalVectorRule=concepts::EdgeNormalVectorRule())
	Constructor. More...

	TraceSpace (const concepts::SpaceOnCells< Real > &spc, const concepts::CellConditions *cc=0, enum traceTypes type=FIRST, const concepts::EdgeNormalVectorRule normalVectorRule=concepts::EdgeNormalVectorRule())

	TraceSpace (const concepts::SpaceOnCells< Real > &spc, const concepts::Set< uint > edgeAttr, enum traceTypes type=FIRST, const concepts::EdgeNormalVectorRule &normalVectorRule=concepts::EdgeNormalVectorRule())
	Constructor. More...

const concepts::HashMap< concepts::Sequence< UnderlyingElement > >	uelm () const
	Returns the mapping from the key of (topological) edge to the underlying 2D elements. More...

const concepts::Sequence< UnderlyingElement >	uelm (const concepts::Edge edge) const
	Returns the underlying 2D elements. More...

virtual	~TraceSpace ()

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const

Private Member Functions
template<class F >
bool	build_ (const Quad< Real > *elm, F condition)
	Builds elements for the edges w.r.t. More...

void	constructType_ (enum traceTypes type, const concepts::EdgeNormalVectorRule &normalVectorRule)

template<class F >
void	test_ (const concepts::ElementWithCell< Real > &elm, F condition)
	Test if not implemented elements have edges w.r.t. More...

Private Attributes
const uint	dim_
	Dimension of the FE space. More...

concepts::HashMap< hp1D::Element< Real > * >	edges_
	Map from key of (topological) edge to the element. More...

concepts::Joiner< hp1D::BaseElement< Real > , 1 >	elm_
	Linked list of the elements. More...

uint	nelm_
	Number of elements currently active in the mesh. More...

std::unique_ptr< QuadEdgeBase >	quadEdge_

concepts::HashMap< concepts::Sequence< UnderlyingElement > >	uelm_
	Map from key of (topological) edge to the underlying 2D elements. More...

bool	warn_edgeBuildMissElem_

Detailed Description

Builds the trace space of an FE space.

The elements are from type hp2D::Edge.

One can restrict the trace operation by cell conditions.

If the FE space is rebuild, one has to construct the trace space again.

Additonally a map from the topological edge to the set of the underlying elements is stored.

Author: Kersten Schmidt, 2007

Examples: BGT_0.cc, elasticity2D_tutorial.cc, exactDtN.cc, inhomDirichletBCsLagrange.cc, inhomNeumannBCs.cc, and RobinBCs.cc.

Definition at line 52 of file traces.hh.

Member Typedef Documentation

◆ Scan

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

Definition at line 54 of file traces.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.

◆ UnderlyingElement

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

Definition at line 55 of file traces.hh.

Member Enumeration Documentation

◆ traceTypes

enum hp2D::TraceSpace::traceTypes

Enumerator
FIRST
MEAN
JUMP

Definition at line 57 of file traces.hh.

Constructor & Destructor Documentation

◆ TraceSpace() [1/3]

hp2D::TraceSpace::TraceSpace	(	const concepts::SpaceOnCells< Real > &	spc,
		const concepts::Set< uint >	edgeAttr,
		enum traceTypes	type = `FIRST`,
		const concepts::EdgeNormalVectorRule &	normalVectorRule = `concepts::EdgeNormalVectorRule()`
	)

Constructor.

Parameters

spc	underlying space
edgeAttr	set of edge attributes

◆ TraceSpace() [2/3]

hp2D::TraceSpace::TraceSpace	(	concepts::SpaceOnCells< Real > &	spc,
		const concepts::CellConditions *	cc = `0`,
		enum traceTypes	type = `FIRST`,
		const concepts::EdgeNormalVectorRule	normalVectorRule = `concepts::EdgeNormalVectorRule()`
	)

Constructor.

Parameters

spc	underlying space
cc	build trace space w.r.t. cell conditions

If no cell conditions are given, the trace to all edges in the mesh is taken.

◆ TraceSpace() [3/3]

hp2D::TraceSpace::TraceSpace	(	const concepts::SpaceOnCells< Real > &	spc,
		const concepts::CellConditions *	cc = `0`,
		enum traceTypes	type = `FIRST`,
		const concepts::EdgeNormalVectorRule	normalVectorRule = `concepts::EdgeNormalVectorRule()`
	)

◆ ~TraceSpace()

virtual hp2D::TraceSpace::~TraceSpace ( )

virtual

Member Function Documentation

◆ build_()

template<class F >

bool hp2D::TraceSpace::build_	(	const Quad< Real > *	elm,
		F	condition
	)

private

Builds elements for the edges w.r.t.

to condition of the element elm, if it is a hp2D::Quad.

◆ constructType_()

void hp2D::TraceSpace::constructType_	(	enum traceTypes	type,
		const concepts::EdgeNormalVectorRule &	normalVectorRule
	)

private

◆ dim() [1/2]

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

inlinevirtual

Definition at line 91 of file traces.hh.

◆ dim() [2/2]

virtual uint concepts::SpaceOnCells< Real >::dim ( ) const

pure virtualinherited

Returns the dimension of the space.

Implements concepts::Space< Real >.

Implemented in hp2D::hpAdaptiveSpace< Real >, hp3D::Space, hp2Dedge::Space, hp2D::Space, hp2D::hpAdaptiveSpace< Real >, and hp1D::Space.

◆ getOutputDimension()

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

inlinevirtualinherited

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

Definition at line 50 of file space.hh.

◆ info()

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

protectedvirtual

Reimplemented from concepts::SpaceOnCells< Real >.

◆ nelm() [1/2]

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

inlinevirtual

Returns the number of elements in the space.

Definition at line 94 of file traces.hh.

◆ nelm() [2/2]

virtual uint concepts::SpaceOnCells< Real >::nelm ( ) const

pure virtualinherited

Returns the number of elements in the space.

Implements concepts::Space< Real >.

Implemented in hp2D::hpAdaptiveSpace< Real >, hp3D::Space, hp2Dedge::Space, hp2D::Space, hp2D::hpAdaptiveSpace< Real >, and hp1D::Space.

◆ recomputeShapefunctions()

virtual void hp2D::TraceSpace::recomputeShapefunctions ( )

virtual

Recompute shape functions, e.g.

for other abscissas redefined through setIntegrationRule

◆ scan() [1/2]

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

inlinevirtual

Returns a scanner to iterate over the elements of the space.

Examples: inhomDirichletBCsLagrange.cc.

Definition at line 97 of file traces.hh.

◆ scan() [2/2]

virtual Scanner* concepts::SpaceOnCells< Real >::scan ( ) const

pure virtualinherited

Returns a scanner to iterate over the elements of the space.

Implements concepts::Space< Real >.

Implemented in hp2D::hpAdaptiveSpace< Real >, hp3D::Space, hp2Dedge::Space, hp2D::Space, hp2D::hpAdaptiveSpace< Real >, and hp1D::Space.

◆ test_()

template<class F >

void hp2D::TraceSpace::test_	(	const concepts::ElementWithCell< Real > &	elm,
		F	condition
	)

private

Test if not implemented elements have edges w.r.t.

to condition and throws an exception in that case.

◆ uelm() [1/2]

const concepts::HashMap<concepts::Sequence<UnderlyingElement> > hp2D::TraceSpace::uelm ( ) const

inline

Returns the mapping from the key of (topological) edge to the underlying 2D elements.

Definition at line 117 of file traces.hh.

◆ uelm() [2/2]

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

inline

Returns the underlying 2D elements.

Definition at line 104 of file traces.hh.

Member Data Documentation

◆ dim_

const uint hp2D::TraceSpace::dim_

private

Dimension of the FE space.

Definition at line 130 of file traces.hh.

◆ edges_

concepts::HashMap<hp1D::Element<Real>* > hp2D::TraceSpace::edges_

private

Map from key of (topological) edge to the element.

Definition at line 142 of file traces.hh.

◆ elm_

concepts::Joiner<hp1D::BaseElement<Real>*, 1>* hp2D::TraceSpace::elm_

private

Linked list of the elements.

Definition at line 136 of file traces.hh.

◆ nelm_

uint hp2D::TraceSpace::nelm_

private

Number of elements currently active in the mesh.

Definition at line 133 of file traces.hh.

◆ quadEdge_

std::unique_ptr<QuadEdgeBase> hp2D::TraceSpace::quadEdge_

private

Definition at line 144 of file traces.hh.

◆ uelm_

concepts::HashMap<concepts::Sequence<UnderlyingElement> > hp2D::TraceSpace::uelm_

private

Map from key of (topological) edge to the underlying 2D elements.

Definition at line 139 of file traces.hh.

◆ warn_edgeBuildMissElem_

bool hp2D::TraceSpace::warn_edgeBuildMissElem_

private

Definition at line 146 of file traces.hh.

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

hp2D/traces.hh

hp2D::TraceSpace Class Referenceabstract

Public Types

Public Member Functions

Protected Member Functions

Private Member Functions

Private Attributes

Detailed Description

Member Typedef Documentation

◆ Scan

◆ Scanner

◆ type

◆ UnderlyingElement

Member Enumeration Documentation

◆ traceTypes

Constructor & Destructor Documentation

◆ TraceSpace() [1/3]

◆ TraceSpace() [2/3]

◆ TraceSpace() [3/3]

◆ ~TraceSpace()

Member Function Documentation

◆ build_()

◆ constructType_()

◆ dim() [1/2]

◆ dim() [2/2]

◆ getOutputDimension()

◆ info()

◆ nelm() [1/2]

◆ nelm() [2/2]

◆ recomputeShapefunctions()

◆ scan() [1/2]

◆ scan() [2/2]

◆ test_()

◆ uelm() [1/2]

◆ uelm() [2/2]

Member Data Documentation

◆ dim_

◆ edges_

◆ elm_

◆ nelm_

◆ quadEdge_

◆ uelm_

◆ warn_edgeBuildMissElem_