#include <neumannTrace.hh>

Inheritance diagram for hp2D::NTElement_BA< F >:

Classes
class	ShapeFunction

Public Types
typedef concepts::ElementAndFacette< hp2D::Element< F > >	UnderlyingElement

typedef F	type

enum	intFormType { ZERO , ONE , TWO , THREE }

Public Member Functions
	NTElement_BA (const concepts::Edge2d &cell)

virtual const concepts::Edge &	support () const

virtual concepts::Real3d	vertex (uint i) const

virtual const concepts::Edge2d &	cell () const
	Returns the cell on which the element is built.

virtual const concepts::TMatrix< F > &	T () const
	Returns the T matrix of the element.

void	recomputeShapefunctions ()

const concepts::ShapeFunction1D< Real > *	shpfct () const
	Returns the shape functions.

const concepts::ShapeFunction1D< Real > *	shpfctD () const

const concepts::Sequence< UnderlyingElement > &	uelm () const

const concepts::Z2	mapRho () const

void	addElement (const hp2D::Quad< Real > &quad, uint k, Real weight=1.0)

void	appendT (concepts::TColumn< F > *T)
	Appends the T columns to the T matrix.

ushort	p () const

Real3d	elemMap (const Real coord_local) const

Real3d	elemMap (const Real2d &coord_local) const

Real3d	elemMap (const Real3d &coord_local) const

virtual const ElementGraphics< F > *	graphics () const

uint &	tag ()
	Returns the tag.

const concepts::Real3d	chi (const Real x) const

Real	jacobianDeterminant (const Real x) const
	Computes the determinant of the Jacobian.

const concepts::QuadratureRule1d *	integration () const
	Returns the integration rule.

virtual bool	quadraturePoint (uint i, intPoint &p, intFormType form=ZERO, bool localCoord=false) const

Static Public Member Functions
static concepts::QuadRuleFactory &	rule ()

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

Protected Attributes
concepts::TMatrix< Real >	T_
	T matrix of the element.

std::unique_ptr< concepts::QuadratureRule1d >	int_
	The integration rule.

Static Protected Attributes
static concepts::QuadRuleFactory	rule_

Detailed Description

template<class F = Real>
class hp2D::NTElement_BA< F >

Element on an edge representing the normal derivative of neighbouring elements, especially their mean or jump.

The number of shape functions are the sum of the number of shape functions of the two neighbouring 2D elements.

Author: Kersten Schmidt, 2010, Robert Gruhlke 2012

Definition at line 39 of file neumannTrace.hh.

Member Typedef Documentation

◆ type

template<typename F >

typedef F concepts::ElementWithCell< F >::type

inherited

Definition at line 81 of file element.hh.

◆ UnderlyingElement

template<class F = Real>

typedef concepts::ElementAndFacette<hp2D::Element<F> > hp2D::NTElement_BA< F >::UnderlyingElement

Definition at line 42 of file neumannTrace.hh.

Member Enumeration Documentation

◆ intFormType

enum concepts::IntegrationCell::intFormType

inherited

Integration form, which determines terms coming from integration over reference element

Definition at line 29 of file integral.hh.

Constructor & Destructor Documentation

◆ NTElement_BA()

template<class F = Real>

hp2D::NTElement_BA< F >::NTElement_BA ( const concepts::Edge2d & cell )

Constructor

Creates the Neumann trace from the element on one side.

Member Function Documentation

◆ addElement()

template<class F = Real>

void hp2D::NTElement_BA< F >::addElement	(	const hp2D::Quad< Real > &	quad,
		uint	k,
		Real	weight = `1.0`
	)

Adds the contribution to the Neumann trace from the element on one of the (at most two) sides.

◆ appendT()

template<class F = Real>

void hp2D::NTElement_BA< F >::appendT ( concepts::TColumn< F > * T )

inline

Appends the T columns to the T matrix.

Definition at line 123 of file neumannTrace.hh.

◆ cell()

template<class F = Real>

virtual const concepts::Edge2d & hp2D::NTElement_BA< F >::cell ( ) const

inlinevirtual

Returns the cell on which the element is built.

Implements concepts::ElementWithCell< F >.

Definition at line 76 of file neumannTrace.hh.

◆ chi()

const concepts::Real3d hp1D::IntegrableElm::chi ( const Real x ) const

inlineinherited

Computes the element map. The reference element is [0,1].

Definition at line 40 of file element.hh.

◆ elemMap() [1/3]

template<typename F >

Real3d concepts::ElementWithCell< F >::elemMap ( const Real coord_local ) const

inlineinherited

Definition at line 86 of file element.hh.

◆ elemMap() [2/3]

template<typename F >

Real3d concepts::ElementWithCell< F >::elemMap ( const Real2d & coord_local ) const

inlineinherited

Definition at line 90 of file element.hh.

◆ elemMap() [3/3]

template<typename F >

Real3d concepts::ElementWithCell< F >::elemMap ( const Real3d & coord_local ) const

inlineinherited

Definition at line 94 of file element.hh.

◆ graphics()

template<class F >

virtual const ElementGraphics< F > * concepts::Element< F >::graphics ( ) const

inlinevirtualinherited

Reimplemented in hp1D::BaseElement< F >, hp1D::BaseElement< Real >, hp2D::Quad< F >, hp2D::Quad< H >, hp2D::Quad< Real >, hp2Dedge::Quad< F >, linDG2D::Triangle, linDG3D::FvdgP0TetElem, linDG3D::FvdgP1TetElem, hp2D::BaseQuad< F >, linDG3D::FvdgElement, hp2D::BaseQuad< H >, and hp2D::BaseQuad< Real >.

Definition at line 63 of file element.hh.

◆ info()

template<class F = Real>

virtual std::ostream & hp2D::NTElement_BA< F >::info ( std::ostream & os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

◆ integration()

const concepts::QuadratureRule1d * hp1D::IntegrableElm::integration ( ) const

inlineinherited

Returns the integration rule.

Definition at line 51 of file element.hh.

◆ jacobianDeterminant()

Real hp1D::IntegrableElm::jacobianDeterminant ( const Real x ) const

inlineinherited

Computes the determinant of the Jacobian.

Definition at line 45 of file element.hh.

◆ mapRho()

template<class F = Real>

const concepts::Z2 hp2D::NTElement_BA< F >::mapRho ( ) const

inline

Returns the orientation of the MappingEdge2d corresponding to the quad. Analogue to understand like topological orientations. I.e. this method just makes sense after adding a quad TODO: For 2 Quads make sequence<concepts::Z2> datatype returns : 0 if mapping is counter-clockwise 1 if mapping is clock-wise

Definition at line 113 of file neumannTrace.hh.

◆ p()

template<class F = Real>

ushort hp2D::NTElement_BA< F >::p ( ) const

inline

Definition at line 127 of file neumannTrace.hh.

◆ quadraturePoint()

virtual bool hp1D::IntegrableElm::quadraturePoint	(	uint	i,
		intPoint &	p,
		intFormType	form = `ZERO`,
		bool	localCoord = `false`
	)		const

virtualinherited

Delivers a quadrature point.

Quadrature point consists of coordinates (for evaluation of formulas) and intermediate data, consisting of the weight and term coming from mapping.

Returns false, if the number of quadrature points is overstepped.

Parameters

i	number of quadrature point
intPoint	data given back
form	Integration form
localCoord	If true, local coordinates are returned. Else physical coordinates.

Implements concepts::IntegrationCell.

◆ recomputeShapefunctions()

template<class F = Real>

void hp2D::NTElement_BA< F >::recomputeShapefunctions ( )

Recompute shape functions, e.g. for other abscissas redefined through IntegrableElm::rule().set(...)

◆ rule()

static concepts::QuadRuleFactory & hp1D::IntegrableElm::rule ( )

inlinestaticinherited

Access to the quadrature rule, which is valid for all elements of this type (hp1D::IntegrableElm).

Change of the quadrature rule is put into practice for newly created elements and for already created elements by precomputing the integration points and shape functions on them.

Definition at line 62 of file element.hh.

◆ shpfct()

template<class F = Real>

const concepts::ShapeFunction1D< Real > * hp2D::NTElement_BA< F >::shpfct ( ) const

inline

Returns the shape functions.

Definition at line 86 of file neumannTrace.hh.

◆ shpfctD()

template<class F = Real>

const concepts::ShapeFunction1D< Real > * hp2D::NTElement_BA< F >::shpfctD ( ) const

inline

Returns the derivatives of the shape functions

TODO: implementation.

Definition at line 92 of file neumannTrace.hh.

◆ support()

template<class F = Real>

virtual const concepts::Edge & hp2D::NTElement_BA< F >::support ( ) const

inlinevirtual

Definition at line 73 of file neumannTrace.hh.

◆ T()

template<class F = Real>

virtual const concepts::TMatrix< F > & hp2D::NTElement_BA< F >::T ( ) const

inlinevirtual

Returns the T matrix of the element.

Implements concepts::ElementWithCell< F >.

Definition at line 78 of file neumannTrace.hh.

◆ tag()

template<class F >

uint & concepts::Element< F >::tag ( )

inlineinherited

Returns the tag.

Definition at line 66 of file element.hh.

◆ uelm()

template<class F = Real>

const concepts::Sequence< UnderlyingElement > & hp2D::NTElement_BA< F >::uelm ( ) const

inline

Returns the Underlying Element(s)

Definition at line 101 of file neumannTrace.hh.

Member Data Documentation

◆ int_

std::unique_ptr<concepts::QuadratureRule1d> hp1D::IntegrableElm::int_

protectedinherited

The integration rule.

Definition at line 72 of file element.hh.

◆ rule_

concepts::QuadRuleFactory hp1D::IntegrableElm::rule_

staticprotectedinherited

Definition at line 74 of file element.hh.

◆ T_

template<class F = Real>

concepts::TMatrix<Real> hp2D::NTElement_BA< F >::T_

protected

T matrix of the element.

Definition at line 139 of file neumannTrace.hh.

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

hp2D/neumannTrace.hh

Class documentation of Concepts

Classes

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Static Protected Attributes

Detailed Description

Member Typedef Documentation

◆ type

◆ UnderlyingElement

Member Enumeration Documentation

◆ intFormType

Constructor & Destructor Documentation

◆ NTElement_BA()

Member Function Documentation

◆ addElement()

◆ appendT()

◆ cell()

◆ chi()

◆ elemMap() [1/3]

◆ elemMap() [2/3]

◆ elemMap() [3/3]

◆ graphics()

◆ info()

◆ integration()

◆ jacobianDeterminant()

◆ mapRho()

◆ p()

◆ quadraturePoint()

◆ recomputeShapefunctions()

◆ rule()

◆ shpfct()

◆ shpfctD()

◆ support()

◆ T()

◆ tag()

◆ uelm()

Member Data Documentation

◆ int_

◆ rule_

◆ T_