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

#include <function.hh>

Classes
struct	mapPart

Public Types
typedef concepts::ElementAndFacette< hp3D::Element< F > >	UnderlyingElement

Public Member Functions
void	addElement (const hp3D::Hexahedron &hex, uint k, Real weight=1.0)
	Adds the contribution to the Neumann trace from the element on one of the (at most two) sides. More...

void	buildT ()
	After adding the Elements this routine builds the TMatrix and polynomial informations on the element. More...

void	computeShpfctVals (const concepts::Real2d &xP, concepts::Array< Real > &val) const
	Evaluation method to get basisfunctions evaluated on requested points this should be used for functions, i.e. More...

	NeumannTraceElement3d (concepts::QuadNd &cell, const ushort *p)
	Constructor. More...

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

const concepts::Sequence< UnderlyingElement > &	uelm () const
	Returns the Underlying Element(s) More...

virtual	~NeumannTraceElement3d ()

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

Private Member Functions
void	compute_ (const concepts::Real2d &q, concepts::Array< Real > &val) const
	Routine calculating the normal derivative of the basis functions (of underlying quads), with normalvector pointing outwards the respective underlying Quad on a given Set of Points. More...

Private Attributes
mapPart	coarseCell_

bool	isComputed_

std::unique_ptr< concepts::ShapeFunction1D< Real > >	shpfct_

concepts::TMatrix< Real >	T_

concepts::Sequence< UnderlyingElement >	uelm_

concepts::Array< Real >	values_
	The actual storage of the values of the shape functions along the edge on integration points. More...

concepts::Sequence< Real >	weights_
	Weight for each side. This defines the TraceType on the Element. More...

Detailed Description

template<class F = Real>
class hp3D::NeumannTraceElement3d< F >

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

Also a PLUS and MINUS setting is involded, that is a FIRST trace kind, with respect to the K+ and K- introduced elements via the setted Normalvector.

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

Author: Robert Gruhlke 2013

Definition at line 20 of file function.hh.

Member Typedef Documentation

◆ UnderlyingElement

template<class F = Real>

typedef concepts::ElementAndFacette<hp3D::Element<F> > hp3D::NeumannTraceElement3d< F >::UnderlyingElement

Definition at line 44 of file neumannTraceElement3d.hh.

Constructor & Destructor Documentation

◆ NeumannTraceElement3d()

template<class F = Real>

hp3D::NeumannTraceElement3d< F >::NeumannTraceElement3d	(	concepts::QuadNd &	cell,
		const ushort *	p
	)

inline

Constructor.

For irregular meshes the underlying elements of a neumanntraceelement is a fine Quad and a neighboured coarse Quad. The coarseCell describes the edgemapping of the coarseedge of which the cell is a subset (part). The coarseCellpart also marks if a neumanntraceElement is build upon regular or irregular mesh

Parameters

cell	geometric cell of this element
p	highest Polynomial degree of underlying Elements
coarseCell	for irregular meshes where cell's underlying

Definition at line 120 of file neumannTraceElement3d.hh.

◆ ~NeumannTraceElement3d()

template<class F = Real>

virtual hp3D::NeumannTraceElement3d< F >::~NeumannTraceElement3d ( )

virtual

Member Function Documentation

◆ addElement()

template<class F = Real>

void hp3D::NeumannTraceElement3d< F >::addElement	(	const hp3D::Hexahedron &	hex,
		uint	k,
		Real	weight = `1.0`
	)

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

Basis functions between quads do not have to be continous. In this case the highest polynomial degree along edge is set, i.e. for integration rule

Parameters

hex	Hexahedron with k-th edge is NeumannTraceElement's topological cell.

◆ buildT()

template<class F = Real>

void hp3D::NeumannTraceElement3d< F >::buildT ( )

After adding the Elements this routine builds the TMatrix and polynomial informations on the element.

◆ compute_()

template<class F = Real>

void hp3D::NeumannTraceElement3d< F >::compute_	(	const concepts::Real2d &	q,
		concepts::Array< Real > &	val
	)		const

private

Routine calculating the normal derivative of the basis functions (of underlying quads), with normalvector pointing outwards the respective underlying Quad on a given Set of Points.

Parameters

q	evaluation domain points
val	of evaluations of shapefunctions on q values

◆ computeShpfctVals()

template<class F = Real>

void hp3D::NeumannTraceElement3d< F >::computeShpfctVals	(	const concepts::Real2d &	xP,
		concepts::Array< Real > &	val
	)		const

Evaluation method to get basisfunctions evaluated on requested points this should be used for functions, i.e.

hp2D::Value

Parameters

xP	requested Points to evaluate on
val	evaluated shpfct, method resizes array.

◆ info()

template<class F = Real>

virtual std::ostream& hp3D::NeumannTraceElement3d< F >::info ( std::ostream & os ) const

protectedvirtual

◆ T()

template<class F = Real>

virtual const concepts::TMatrix<F>& hp3D::NeumannTraceElement3d< F >::T ( ) const

inlinevirtual

Definition at line 126 of file neumannTraceElement3d.hh.

◆ uelm()

template<class F = Real>

const concepts::Sequence<UnderlyingElement>& hp3D::NeumannTraceElement3d< F >::uelm ( ) const

template<class F = Real>

concepts::Array<Real> hp3D::NeumannTraceElement3d< F >::values_

mutableprivate

The actual storage of the values of the shape functions along the edge on integration points.

The values corresponding to the local shapefunctions of its underlying quad(s) are computed with the normalvector pointing outwards the quad respectivly.

This have to be noticed for defining the weights for trace types. mutable to work with const compute_ as needed for const

Definition at line 199 of file neumannTraceElement3d.hh.

◆ weights_

template<class F = Real>

concepts::Sequence<Real> hp3D::NeumannTraceElement3d< F >::weights_

private

Weight for each side. This defines the TraceType on the Element.

Definition at line 202 of file neumannTraceElement3d.hh.

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

hp3D/function.hh
hp3D/neumannTraceElement3d.hh

hp3D::NeumannTraceElement3d< F > Class Template Reference

Classes

Public Types

Public Member Functions

Protected Member Functions

Private Member Functions

Private Attributes

Detailed Description

template<class F = Real> class hp3D::NeumannTraceElement3d< F >

Member Typedef Documentation

◆ UnderlyingElement

Constructor & Destructor Documentation

◆ NeumannTraceElement3d()

◆ ~NeumannTraceElement3d()

Member Function Documentation

◆ addElement()

◆ buildT()

◆ compute_()

◆ computeShpfctVals()

◆ info()

◆ T()

◆ uelm()

Member Data Documentation

◆ coarseCell_

◆ isComputed_

◆ shpfct_

◆ T_

◆ uelm_

◆ values_

◆ weights_

template<class F = Real>
class hp3D::NeumannTraceElement3d< F >