Defines the topology of a line element. Topology Sides 0 and 1 are vertices, side 2 is the line. More...

#include <tpzline.h>

Inheritance diagram for pztopology::TPZLine:

Collaboration diagram for pztopology::TPZLine:

Public Types
enum	{ NCornerNodes, NSides, Dimension, NFaces, NPermutations }
	Enumerate for topological characteristics. More...

Public Member Functions
int	ClassId () const override
	Define the class id associated with the class. More...

void	Read (TPZStream &buf, void *context) override
	read objects from the stream More...

void	Write (TPZStream &buf, int withclassid) const override
	Writes this object to the TPZStream buffer. Include the classid if withclassid = true. More...

	TPZLine ()
	Default constructor. More...

virtual	~TPZLine ()
	Default destructor. More...

Public Member Functions inherited from TPZSavable
	TPZSavable ()

virtual	~TPZSavable ()

virtual std::list< std::map< std::string, uint64_t > >	VersionHistory () const

virtual std::pair< std::string, uint64_t >	Version () const

virtual bool	Compare (TPZSavable *copy, bool override=false)
	Compares the object for identity with the object pointed to, eventually copy the object. More...

virtual bool	Compare (TPZSavable *copy, bool override=false) const
	Compares the object for identity with the object pointed to, eventually copy the object. More...

Public Member Functions inherited from TPZRegisterClassId
template<typename T >
	TPZRegisterClassId (int(T::*)() const)

	TPZRegisterClassId ()=default

Static Public Member Functions
static void	Shape (TPZVec< REAL > &loc, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi)
	Compute the shape being used to construct the x mapping from local parametric coordinates. More...

template<class T >
static void	TShape (const TPZVec< T > &loc, TPZFMatrix< T > &phi, TPZFMatrix< T > &dphi)
	Compute the shape being used to construct the x mapping from local parametric coordinates. More...

static void	GetSideHDivPermutation (int transformationid, TPZVec< int > &permgather)
	Identifies the permutation of the nodes needed to make neighbouring elements compatible in terms of order of shape functions. More...

static constexpr REAL	RefElVolume ()
	Volume of the master element (measure of the element) More...

static void	ComputeDirections (int side, TPZFMatrix< REAL > &gradx, TPZFMatrix< REAL > &directions, TPZVec< int > &sidevectors)

static void	GetSideHDivDirections (TPZVec< int > &sides, TPZVec< int > &dir, TPZVec< int > &bilinearounao)

static void	GetSideHDivDirections (TPZVec< int > &sides, TPZVec< int > &dir, TPZVec< int > &bilinearounao, TPZVec< int > &sidevectors)

template<class TVar >
static void	ComputeHDivDirections (TPZFMatrix< TVar > &gradx, TPZFMatrix< TVar > &directions)
	Compute the directions of the HDiv vectors. More...

static int	NBilinearSides ()

About sides of the topological element
template<class T >
static void	BlendFactorForSide (const int &side, const TPZVec< T > &xi, T &blendFactor, TPZVec< T > &corrFactorDxi)

static int	SideDimension (int side)
	Returns the dimension of the side. More...

static void	LowerDimensionSides (int side, TPZStack< int > &smallsides)
	Get all sides with lower dimension on side. More...

static void	LowerDimensionSides (int side, TPZStack< int > &smallsides, int DimTarget)
	Get all sides with lower dimension but equal to DimTarget on side. More...

static void	HigherDimensionSides (int side, TPZStack< int > &high)
	Returns all sides whose closure contains side. More...

static int	NSideNodes (int side)
	Returns the number of nodes (not connectivities) associated with a side. More...

static int	SideNodeLocId (int side, int node)
	Returns the local node number of the node "node" along side "side". More...

static int	NumSides ()
	Returns the number of connects for a set dimension. More...

static int	NumSides (int dimension)
	Returns the number of connects for a set dimension. More...

static int	NContainedSides (int side)
	Returns the number of nodes (not connectivities) associated with a side. More...

static int	ContainedSideLocId (int side, int c)
	Returns the local connect number of the connect "c" along side "side". More...

About points at the parametric spaces
static void	CenterPoint (int side, TPZVec< REAL > &center)
	Returns the barycentric coordinates in the master element space of the original element. More...

static bool	IsInParametricDomain (const TPZVec< REAL > &pt, REAL tol=pztopology::gTolerance)
	Verifies if the parametric point pt is in the element parametric domain. More...

static void	RandomPoint (TPZVec< REAL > &pt)
	Generates a random point in the master domain. More...

template<class T >
static bool	CheckProjectionForSingularity (const int &side, const TPZVec< T > &xiInterior)

template<class T >
static void	MapToSide (int side, TPZVec< T > &InternalPar, TPZVec< T > &SidePar, TPZFMatrix< T > &JacToSide)

static void	ParametricDomainNodeCoord (int node, TPZVec< REAL > &nodeCoord)

About type of the topological element
static MElementType	Type ()
	Returns the type of the element as specified in file pzeltype.h. More...

static MElementType	Type (int side)
	Returns the type of the element side as specified in file pzeltype.h. More...

About Transformations
static TPZTransform	SideToSideTransform (int sidefrom, int sideto)
	Returns the transformation which takes a point from the side sidefrom to the side sideto. More...

static TPZTransform	TransformSideToElement (int side)
	Returns the transformation which transform a point from the side to the interior of the element. More...

static TPZTransform	TransformElementToSide (int side)
	Returns the transformation which transform a point from the interior of the element to the side. More...

static int	GetTransformId (TPZVec< int64_t > &id)
	Method which identifies the transformation based on the IDs of the corner nodes. More...

static int	GetTransformId (int side, TPZVec< int64_t > &id)
	Method which identifies the transformation of a side based on the IDs of the corner nodes. More...

Static Public Member Functions inherited from TPZSavable
static std::set< TPZRestoreClassBase * > &	RestoreClassSet ()
	This static function guarantees that the gMap object is available when needed. More...

static std::map< int, TPZRestore_t > &	ClassIdMap ()
	This static function guarantees that the gMap object is available when needed. More...

static std::pair< std::string, uint64_t >	NeoPZVersion ()

static void	Register (TPZRestoreClassBase *restore)

static void	RegisterClassId (int classid, TPZRestore_t fun)

static TPZSavable *	CreateInstance (const int &classId)

Static Protected Attributes
static int	fPermutations [2][3]
	Valid permutations between nodes. More...

Friends
void	pztopology::GetPermutation (const int permute, TPZVec< int > &permutation)

Methods related over numeric integration
typedef TPZInt1d	IntruleType
	Typedef to numerical integration rule. More...

typedef TPZGraphEl1dd	GraphElType
	Typedef to graphical element type. More...

static TPZIntPoints *	CreateSideIntegrationRule (int side, int order)
	Create an integration rule over side. More...

Detailed Description

Defines the topology of a line element. Topology Sides 0 and 1 are vertices, side 2 is the line.

Author: Philippe R. B. Devloo

Definition at line 38 of file tpzline.h.

Member Typedef Documentation

◆ GraphElType

typedef TPZGraphEl1dd pztopology::TPZLine::GraphElType

Typedef to graphical element type.

Definition at line 217 of file tpzline.h.

◆ IntruleType

typedef TPZInt1d pztopology::TPZLine::IntruleType

Typedef to numerical integration rule.

Definition at line 215 of file tpzline.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Enumerate for topological characteristics.

Enumerator
NCornerNodes
NSides
Dimension
NFaces
NPermutations

Definition at line 42 of file tpzline.h.

Constructor & Destructor Documentation

◆ TPZLine()

pztopology::TPZLine::TPZLine ( )

inline

Default constructor.

Definition at line 50 of file tpzline.h.

◆ ~TPZLine()

virtual pztopology::TPZLine::~TPZLine ( )

inlinevirtual

Default destructor.

Definition at line 54 of file tpzline.h.

Member Function Documentation

◆ BlendFactorForSide()

template<class T >

template void TPZLine::BlendFactorForSide< REAL >	(	const int &	side,
		const TPZVec< T > &	xi,
		T &	blendFactor,
		TPZVec< T > &	corrFactorDxi
	)

static

This method calculates the influence (a.k.a. the blend function) of the side side regarding an interior point qsi. It is used by the TPZGeoBlend class.

Parameters

side	the index of the side
xi	coordinates of the interior point
blendFactor	influence (0 <= blendFactor <= 1)
corrFactorDxi	derivative of the blendFactor in respect to xi

Definition at line 78 of file tpzline.cpp.

References DebugStop, pztopology::GetTolerance(), LOGPZ_FATAL, PZError, TPZVec< T >::Resize(), and pzgeom::tol.

Referenced by Shape().

◆ CenterPoint()

void TPZLine::CenterPoint	(	int	side,
		TPZVec< REAL > &	center
	)

static

Returns the barycentric coordinates in the master element space of the original element.

Definition at line 224 of file tpzline.cpp.

References DebugStop, and TPZVec< T >::size().

Referenced by PYBIND11_MODULE(), and Shape().

◆ CheckProjectionForSingularity()

template<class T >

template bool TPZLine::CheckProjectionForSingularity< REAL >	(	const int &	side,
		const TPZVec< T > &	xiInterior
	)

static

This method will check if the projection to a certain side (MapToSide method) is regular, i.e., if the interior point in the parametric domain is not too close to the projection's singularity.

Parameters

side	the index of the side upon which the interior point will be projected upon
xiInterior	coordinates of the interior point

Returns: true if the interior point is far from the singularity

Definition at line 165 of file tpzline.cpp.

Referenced by Shape().

◆ ClassId()

int TPZLine::ClassId ( ) const

overridevirtual

Define the class id associated with the class.

This id has to be unique for all classes A non unique id is flagged at the startup of the program

Implements TPZSavable.

Reimplemented in pzgeom::TPZNodeRep< 3, pztopology::TPZLine >, and pzgeom::TPZNodeRep< 2, pztopology::TPZLine >.

Definition at line 540 of file tpzline.cpp.

References Hash().

◆ ComputeDirections()

void TPZLine::ComputeDirections	(	int	side,
		TPZFMatrix< REAL > &	gradx,
		TPZFMatrix< REAL > &	directions,
		TPZVec< int > &	sidevectors
	)

static

Definition at line 481 of file tpzline.cpp.

References TPZMatrix< TVar >::Cols(), DebugStop, TPZFMatrix< TVar >::Redim(), TPZVec< T >::Resize(), and sqrt.

Referenced by RefElVolume().

◆ ComputeHDivDirections()

template<class TVar >

template void TPZLine::ComputeHDivDirections< REAL >	(	TPZFMatrix< TVar > &	gradx,
		TPZFMatrix< TVar > &	directions
	)

inlinestatic

Compute the directions of the HDiv vectors.

Definition at line 240 of file tpzline.h.

References TPZAxesTools< TVar >::ComputeDetjac(), and NBilinearSides().

◆ ContainedSideLocId()

int TPZLine::ContainedSideLocId	(	int	side,
		int	c
	)

static

Returns the local connect number of the connect "c" along side "side".

Definition at line 389 of file tpzline.cpp.

References PZError.

Referenced by Shape().

◆ CreateSideIntegrationRule()

TPZIntPoints * TPZLine::CreateSideIntegrationRule	(	int	side,
		int	order
	)

static

Create an integration rule over side.

Parameters

side	Side to create integration rule
order	Order of the integration rule to be created

Definition at line 344 of file tpzline.cpp.

References PZError.

Referenced by PYBIND11_MODULE(), and Shape().

◆ GetSideHDivDirections() [1/2]

void TPZLine::GetSideHDivDirections	(	TPZVec< int > &	sides,
		TPZVec< int > &	dir,
		TPZVec< int > &	bilinearounao
	)

static

Definition at line 506 of file tpzline.cpp.

References TPZVec< T >::Resize().

Referenced by RefElVolume().

◆ GetSideHDivDirections() [2/2]

void TPZLine::GetSideHDivDirections	(	TPZVec< int > &	sides,
		TPZVec< int > &	dir,
		TPZVec< int > &	bilinearounao,
		TPZVec< int > &	sidevectors
	)

static

Definition at line 523 of file tpzline.cpp.

References TPZVec< T >::Resize().

◆ GetSideHDivPermutation()

void TPZLine::GetSideHDivPermutation	(	int	transformationid,
		TPZVec< int > &	permgather
	)

static

Identifies the permutation of the nodes needed to make neighbouring elements compatible in terms of order of shape functions.

Parameters

side	Side for which the permutation is needed
id	Ids of the corner nodes of the elements
permgather	Permutation vector in a gather order

Identifies the permutation of the nodes needed to make neighbouring elements compatible in terms of order of shape functions

Parameters

side	: side for which the permutation is needed
id	: ids of the corner nodes of the elements
permgather	: permutation vector in a gather order

Definition at line 447 of file tpzline.cpp.

References TPZVec< T >::Resize().

Referenced by TPZGeoElRefLess< TGeo >::HDivPermutation(), and TPZCompElHDiv< TSHAPE >::SideShapeFunction().

◆ GetTransformId() [1/2]

int TPZLine::GetTransformId ( TPZVec< int64_t > & id )

static

Method which identifies the transformation based on the IDs of the corner nodes.

Parameters

id	Indexes of the corner nodes

Returns: Index of the transformation of the point corresponding to the topology

Method which identifies the transformation based on the IDs of the corner nodes

Parameters

id	indexes of the corner nodes

Returns: index of the transformation of the point corresponding to the topology

Definition at line 412 of file tpzline.cpp.

Referenced by TPZGeoElRefLess< TGeo >::HDivPermutation(), Shape(), and TPZCompElHDiv< TSHAPE >::SideShapeFunction().

◆ GetTransformId() [2/2]

int TPZLine::GetTransformId	(	int	side,
		TPZVec< int64_t > &	id
	)

static

Method which identifies the transformation of a side based on the IDs of the corner nodes.

Parameters

side	Index of side
id	Indexes of the corner nodes

Returns: Index of the transformation of the point corresponding to the topology

Method which identifies the transformation of a side based on the IDs of the corner nodes

Parameters

id	indexes of the corner nodes

Returns: index of the transformation of the point corresponding to the topology

Definition at line 423 of file tpzline.cpp.

References LOGPZ_ERROR.

◆ HigherDimensionSides()

void TPZLine::HigherDimensionSides	(	int	side,
		TPZStack< int > &	high
	)

static

Returns all sides whose closure contains side.

Parameters

side	smaller dimension side
high	vector which will contain all sides whose closure contain sidefrom

Definition at line 206 of file tpzline.cpp.

References TPZStack< T, NumExtAlloc >::Push(), and PZError.

Referenced by PYBIND11_MODULE(), and Shape().

◆ IsInParametricDomain()

bool TPZLine::IsInParametricDomain	(	const TPZVec< REAL > &	pt,
		REAL	tol = `pztopology::gTolerance`
	)

static

Verifies if the parametric point pt is in the element parametric domain.

Definition at line 154 of file tpzline.cpp.

References fabs.

Referenced by IsInSideParametricDomain(), PYBIND11_MODULE(), and Shape().

◆ LowerDimensionSides() [1/2]

void TPZLine::LowerDimensionSides	(	int	side,
		TPZStack< int > &	smallsides
	)

static

Get all sides with lower dimension on side.

Definition at line 136 of file tpzline.cpp.

References TPZStack< T, NumExtAlloc >::Push(), and TPZManVector< T, NumExtAlloc >::Resize().

Referenced by PYBIND11_MODULE(), and Shape().

◆ LowerDimensionSides() [2/2]

void TPZLine::LowerDimensionSides	(	int	side,
		TPZStack< int > &	smallsides,
		int	DimTarget
	)

static

Get all sides with lower dimension but equal to DimTarget on side.

Definition at line 145 of file tpzline.cpp.

References TPZStack< T, NumExtAlloc >::Push(), and TPZManVector< T, NumExtAlloc >::Resize().

◆ MapToSide()

template<class T >

template void TPZLine::MapToSide< REAL >	(	int	side,
		TPZVec< T > &	InternalPar,
		TPZVec< T > &	SidePar,
		TPZFMatrix< T > &	JacToSide
	)

static

Definition at line 170 of file tpzline.cpp.

References TPZTransform< T >::Apply(), TPZTransform< T >::CopyFrom(), TPZTransform< T >::Mult(), and TPZVec< T >::Resize().

Referenced by Shape().

◆ NBilinearSides()

int TPZLine::NBilinearSides ( )

static

Returns the number of bilinear sides to this shape. Needed to compute the number shapefunctions( NConnectShapeF )

Definition at line 60 of file tpzline.cpp.

Referenced by ComputeHDivDirections().

◆ NContainedSides()

int TPZLine::NContainedSides ( int side )

static

Returns the number of nodes (not connectivities) associated with a side.

Definition at line 381 of file tpzline.cpp.

References DebugStop, and PZError.

Referenced by Shape().

◆ NSideNodes()

int TPZLine::NSideNodes ( int side )

static

Returns the number of nodes (not connectivities) associated with a side.

Definition at line 120 of file tpzline.cpp.

Referenced by PYBIND11_MODULE(), and Shape().

◆ NumSides() [1/2]

int TPZLine::NumSides ( )

static

Returns the number of connects for a set dimension.

Definition at line 376 of file tpzline.cpp.

Referenced by PYBIND11_MODULE(), and Shape().

◆ NumSides() [2/2]

int TPZLine::NumSides ( int dimension )

static

Returns the number of connects for a set dimension.

Definition at line 125 of file tpzline.cpp.

References PZError.

◆ ParametricDomainNodeCoord()

void TPZLine::ParametricDomainNodeCoord	(	int	node,
		TPZVec< REAL > &	nodeCoord
	)

static

Definition at line 180 of file tpzline.cpp.

References DebugStop, and TPZVec< T >::Resize().

Referenced by Shape().

◆ RandomPoint()

void TPZLine::RandomPoint ( TPZVec< REAL > & pt )

static

Generates a random point in the master domain.

Definition at line 236 of file tpzline.cpp.

References val().

Referenced by Shape().

◆ Read()

void TPZLine::Read	(	TPZStream &	buf,
		void *	context
	)

overridevirtual

read objects from the stream

Reimplemented from TPZSavable.

Reimplemented in pzgeom::TPZNodeRep< 3, pztopology::TPZLine >, and pzgeom::TPZNodeRep< 2, pztopology::TPZLine >.

Definition at line 544 of file tpzline.cpp.

◆ RefElVolume()

static constexpr REAL pztopology::TPZLine::RefElVolume ( )

inlinestatic

Volume of the master element (measure of the element)

Definition at line 231 of file tpzline.h.

References pztopology::bilinearounao, ComputeDirections(), and GetSideHDivDirections().

Referenced by PYBIND11_MODULE().

◆ Shape()

static void pztopology::TPZLine::Shape	(	TPZVec< REAL > &	loc,
		TPZFMatrix< REAL > &	phi,
		TPZFMatrix< REAL > &	dphi
	)

inlinestatic

Compute the shape being used to construct the x mapping from local parametric coordinates.

Definition at line 58 of file tpzline.h.

References BlendFactorForSide(), CenterPoint(), CheckProjectionForSingularity(), ContainedSideLocId(), CreateSideIntegrationRule(), dimension, GetTransformId(), pztopology::gTolerance, HigherDimensionSides(), IsInParametricDomain(), LowerDimensionSides(), MapToSide(), NContainedSides(), NSideNodes(), NumSides(), ParametricDomainNodeCoord(), RandomPoint(), SideDimension(), SideNodeLocId(), SideToSideTransform(), TPZVec< T >::size(), pzgeom::tol, TransformElementToSide(), TransformSideToElement(), TShape(), Type(), and val().

◆ SideDimension()

int TPZLine::SideDimension ( int side )

static

Returns the dimension of the side.

Definition at line 245 of file tpzline.cpp.

References PZError.

Referenced by pzrefine::TPZRefLinear::GetTransform(), PYBIND11_MODULE(), and Shape().

◆ SideNodeLocId()

int TPZLine::SideNodeLocId	(	int	side,
		int	node
	)

static

Returns the local node number of the node "node" along side "side".

Definition at line 216 of file tpzline.cpp.

References PZError.

Referenced by PYBIND11_MODULE(), and Shape().

◆ SideToSideTransform()

TPZTransform TPZLine::SideToSideTransform	(	int	sidefrom,
		int	sideto
	)

static

Returns the transformation which takes a point from the side sidefrom to the side sideto.

Parameters

sidefrom	Side where the point resides
sideto	Side whose closure contains sidefrom

Definition at line 253 of file tpzline.cpp.

References TPZTransform< T >::Mult(), PZError, and TPZTransform< T >::Sum().

Referenced by PYBIND11_MODULE(), and Shape().

◆ TransformElementToSide()

TPZTransform TPZLine::TransformElementToSide ( int side )

static

Returns the transformation which transform a point from the interior of the element to the side.

Parameters

side	Side to which the point will be tranformed (0<=side<=2)

Returns: TPZTransform<> object

Definition at line 293 of file tpzline.cpp.

References TPZTransform< T >::Mult(), PZError, TPZTransform< T >::Sum(), and TPZFMatrix< TVar >::Zero().

Referenced by PYBIND11_MODULE(), and Shape().

◆ TransformSideToElement()

TPZTransform TPZLine::TransformSideToElement ( int side )

static

Returns the transformation which transform a point from the side to the interior of the element.

Parameters

side	Side from which the point will be tranformed (0<=side<=2)

Returns: TPZTransform<> object

Definition at line 316 of file tpzline.cpp.

References TPZTransform< T >::Mult(), PZError, TPZTransform< T >::Sum(), and TPZFMatrix< TVar >::Zero().

Referenced by PYBIND11_MODULE(), and Shape().

◆ TShape()

template<class T >

template void TPZLine::TShape< REAL >	(	const TPZVec< T > &	loc,
		TPZFMatrix< T > &	phi,
		TPZFMatrix< T > &	dphi
	)

inlinestatic

Compute the shape being used to construct the x mapping from local parametric coordinates.

Definition at line 69 of file tpzline.cpp.

Referenced by GetSideShapeFunction(), pzgeom::TPZGeoLinear::GradX(), ProjectBissectionInParametricDomain(), and Shape().

◆ Type() [1/2]

MElementType TPZLine::Type ( )

static

Returns the type of the element as specified in file pzeltype.h.

Definition at line 357 of file tpzline.cpp.

References EOned.

Referenced by Shape().

◆ Type() [2/2]

MElementType TPZLine::Type ( int side )

static

Returns the type of the element side as specified in file pzeltype.h.

Definition at line 362 of file tpzline.cpp.

References ENoType, EOned, and EPoint.

◆ Write()

void TPZLine::Write	(	TPZStream &	buf,
		int	withclassid
	)		const

overridevirtual

Writes this object to the TPZStream buffer. Include the classid if withclassid = true.

Writes this object to the TPZStream buffer. Include the classid if withclassid = true

Reimplemented from TPZSavable.

Reimplemented in pzgeom::TPZNodeRep< 3, pztopology::TPZLine >, and pzgeom::TPZNodeRep< 2, pztopology::TPZLine >.

Definition at line 548 of file tpzline.cpp.

Friends And Related Function Documentation

◆ pztopology::GetPermutation

void pztopology::GetPermutation	(	const int	permute,
		TPZVec< int > &	permutation
	)

friend

Member Data Documentation

◆ fPermutations

int TPZLine::fPermutations

staticprotected

Valid permutations between nodes.

Definition at line 259 of file tpzline.h.

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

Topology/tpzline.h
Topology/tpzline.cpp

Public Types

Public Member Functions

Static Public Member Functions

Static Protected Attributes

Friends

Methods related over numeric integration

Detailed Description

Member Typedef Documentation

◆ GraphElType

◆ IntruleType

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ TPZLine()

◆ ~TPZLine()

Member Function Documentation

◆ BlendFactorForSide()

◆ CenterPoint()

◆ CheckProjectionForSingularity()

◆ ClassId()

◆ ComputeDirections()

◆ ComputeHDivDirections()

◆ ContainedSideLocId()

◆ CreateSideIntegrationRule()

◆ GetSideHDivDirections() [1/2]

◆ GetSideHDivDirections() [2/2]

◆ GetSideHDivPermutation()

◆ GetTransformId() [1/2]

◆ GetTransformId() [2/2]

◆ HigherDimensionSides()

◆ IsInParametricDomain()

◆ LowerDimensionSides() [1/2]

◆ LowerDimensionSides() [2/2]

◆ MapToSide()

◆ NBilinearSides()

◆ NContainedSides()

◆ NSideNodes()

◆ NumSides() [1/2]

◆ NumSides() [2/2]

◆ ParametricDomainNodeCoord()

◆ RandomPoint()

◆ Read()

◆ RefElVolume()

◆ Shape()

◆ SideDimension()

◆ SideNodeLocId()

◆ SideToSideTransform()

◆ TransformElementToSide()

◆ TransformSideToElement()

◆ TShape()

◆ Type() [1/2]

◆ Type() [2/2]

◆ Write()

Friends And Related Function Documentation

◆ pztopology::GetPermutation

Member Data Documentation

◆ fPermutations