Defines the topology of a triangle element. Topology Sides 0 to 2 are vertices, sides 3 to 5 are lines, side 6 is the triangle. More...

#include <tpztriangle.h>

Inheritance diagram for pztopology::TPZTriangle:

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Collaboration diagram for pztopology::TPZTriangle:

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Public Types
enum	{ NSides, NCornerNodes, 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...

	TPZTriangle ()
	Default constructor. More...

virtual	~TPZTriangle ()
	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	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) More...

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...

template<class TVar >
static void	ComputeHCurlDirections (TPZFMatrix< TVar > &gradx, TPZFMatrix< TVar > &directions, const TPZVec< int > &transformationIds)

template<class TVar >
static void	ComputeHCurlFaceDirections (TPZVec< TVar > &v1, TPZVec< TVar > &v2, int transformationId)

static int	NBilinearSides ()

About sides of the topological element
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 of the element (7) 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)
	Returns the local connect along side "side" especial for hdivspace. More...

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

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...

template<class T >
static void	BlendFactorForSide (const int &side, const TPZVec< T > &xi, T &blendFactor, TPZVec< T > &corrFactorDxi)

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 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 of 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 void	GetHDivGatherPermute (int transformid, TPZVec< int > &permute)
	return the vector which permutes the connects according to the transformation id 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 Public Attributes
static int	SideNodes [3][2]

static int	FaceNodes [1][3]

static REAL	gTrans2dT [6][2][2]

Static Protected Attributes
static int	fPermutations [6][7]
	Valid permutations between nodes. More...

static REAL	fTangentVectors [12][2]

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

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

typedef TPZGraphElT2dMapped	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 triangle element. Topology Sides 0 to 2 are vertices, sides 3 to 5 are lines, side 6 is the triangle.

Author: Philippe R. B. Devloo

Definition at line 35 of file tpztriangle.h.

Member Typedef Documentation

◆ GraphElType

typedef TPZGraphElT2dMapped pztopology::TPZTriangle::GraphElType

Typedef to graphical element type.

Definition at line 225 of file tpztriangle.h.

◆ IntruleType

typedef TPZIntTriang pztopology::TPZTriangle::IntruleType

Typedef to numerical integration rule.

Definition at line 223 of file tpztriangle.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Enumerate for topological characteristics.

Enumerator
NSides
NCornerNodes
Dimension
NFaces
NPermutations

Definition at line 39 of file tpztriangle.h.

Constructor & Destructor Documentation

◆ TPZTriangle()

pztopology::TPZTriangle::TPZTriangle ( )

inline

Default constructor.

Definition at line 46 of file tpztriangle.h.

◆ ~TPZTriangle()

virtual pztopology::TPZTriangle::~TPZTriangle ( )

inlinevirtual

Default destructor.

Definition at line 50 of file tpztriangle.h.

References ContainedSideLocId(), dimension, HigherDimensionSides(), LowerDimensionSides(), NContainedSides(), NSideNodes(), NumSides(), SideDimension(), and SideNodeLocId().

Member Function Documentation

◆ BlendFactorForSide()

template<class T >

template void pztopology::TPZTriangle::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 53 of file tpztriangle.cpp.

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

Referenced by Shape().

◆ CenterPoint()

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

static

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

Definition at line 472 of file tpztriangle.cpp.

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

Referenced by PYBIND11_MODULE(), and Shape().

◆ CheckProjectionForSingularity()

template<class T >

template bool pztopology::TPZTriangle::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 266 of file tpztriangle.cpp.

References DebugStop, fabs, and pztopology::GetTolerance().

Referenced by Shape().

◆ ClassId()

int pztopology::TPZTriangle::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< 6, pztopology::TPZTriangle >, and pzgeom::TPZNodeRep< 3, pztopology::TPZTriangle >.

Definition at line 1211 of file tpztriangle.cpp.

References Hash().

◆ ComputeHCurlDirections()

template<class TVar >

template void pztopology::TPZTriangle::ComputeHCurlDirections< REAL >	(	TPZFMatrix< TVar > &	gradx,
		TPZFMatrix< TVar > &	directions,
		const TPZVec< int > &	transformationIds
	)

static

Compute the directions of the HCurl vectors. These vectors are combined with H1 shape functions to create the HCurl shape functions. They must be computed in the following order:

$v^{e,a}$ : vector associated with edge . It is normal to the edge $\hat{e}$ adjacent to e by the vertex a.
$v^{e,T}$ : vector associated with edge . It is tangent to the edge $\hat{e}$ .
$v^{F,e}$ : vector associated with face . It is normal to the face $\hat{F}$ adjacent to e by the edge a.
$v^{F,T}$ : two orthornormal vectors associated with face and tangent to it.
$v^{F,\perp}$ : outward normal vector associated with face (3D only)

$v^{K}$ : set of orthonormal vectors associated with the volume of the element itself (3D only. In 2D $v^{F,T}$ does its job) The side ordering should be respected. In the definition of the $v^{e,a}$ and the $v^{F,e}$ vectors, the subsides are ordered as the return of LowerDimensionSides.

Template Parameters

TVar	REAL or Fad<REAL>

Parameters

gradx	the gradient of the element mapping. if computing in normal element, gradx is the identity matrix.
directions	computed directions
transformationIds	transformation Ids associated with each side of dim > 0

Definition at line 1119 of file tpztriangle.cpp.

References TPZMatrix< TVar >::Rows().

Referenced by RefElVolume().

◆ ComputeHCurlFaceDirections()

template<class TVar >

template void pztopology::TPZTriangle::ComputeHCurlFaceDirections< REAL >	(	TPZVec< TVar > &	v1,
		TPZVec< TVar > &	v2,
		int	transformationId
	)

static

For a given transformation id, the method will return the two $v^{F,T}$ vectors associated with the face

Template Parameters

TVar	REAL or Fad<REAL>

Parameters

v1	$v^{F,T}_1$
v2	$v^{F,T}_2$
transformationId	The id of the transformation (node ordering)

Definition at line 1166 of file tpztriangle.cpp.

Referenced by RefElVolume().

◆ ComputeHDivDirections()

template<class TVar >

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

static

Compute the directions of the HDiv vectors.

Referenced by RefElVolume().

◆ ContainedSideLocId() [1/2]

static int pztopology::TPZTriangle::ContainedSideLocId ( int side )

static

Returns the local connect along side "side" especial for hdivspace.

Referenced by ~TPZTriangle().

◆ ContainedSideLocId() [2/2]

int pztopology::TPZTriangle::ContainedSideLocId	(	int	side,
		int	c
	)

static

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

It do not verify the values of the c

Definition at line 618 of file tpztriangle.cpp.

References PZError.

◆ CreateSideIntegrationRule()

TPZIntPoints * pztopology::TPZTriangle::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 564 of file tpztriangle.cpp.

References PZError.

Referenced by PYBIND11_MODULE(), and Shape().

◆ GetHDivGatherPermute()

void pztopology::TPZTriangle::GetHDivGatherPermute	(	int	transformid,
		TPZVec< int > &	permute
	)

static

return the vector which permutes the connects according to the transformation id

Definition at line 706 of file tpztriangle.cpp.

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

Referenced by Shape().

◆ GetSideHDivDirections() [1/2]

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

static

Definition at line 1175 of file tpztriangle.cpp.

References TPZVec< T >::Resize().

Referenced by RefElVolume().

◆ GetSideHDivDirections() [2/2]

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

static

Definition at line 1191 of file tpztriangle.cpp.

References TPZVec< T >::Resize().

◆ GetSideHDivPermutation()

void pztopology::TPZTriangle::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 755 of file tpztriangle.cpp.

References TPZAxesTools< TVar >::ComputeDetjac(), TPZNumeric::Norm(), and TPZVec< T >::Resize().

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

◆ GetTransformId() [1/2]

int pztopology::TPZTriangle::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 644 of file tpztriangle.cpp.

Referenced by pztopology::TPZPrism::GetTransformId(), pztopology::TPZPyramid::GetTransformId(), pztopology::TPZTetrahedron::GetTransformId(), TPZGeoElRefLess< TGeo >::HDivPermutation(), Shape(), and TPZCompElHDiv< TSHAPE >::SideShapeFunction().

◆ GetTransformId() [2/2]

int pztopology::TPZTriangle::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

id	Indexes of the corner nodes
side	Side of the element in which the transformation is

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 674 of file tpztriangle.cpp.

References LOGPZ_ERROR.

◆ HigherDimensionSides()

void pztopology::TPZTriangle::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 443 of file tpztriangle.cpp.

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

Referenced by PYBIND11_MODULE(), and ~TPZTriangle().

◆ IsInParametricDomain()

bool pztopology::TPZTriangle::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 252 of file tpztriangle.cpp.

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

◆ LowerDimensionSides() [1/2]

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

static

Get all sides with lower dimension on side.

Definition at line 425 of file tpztriangle.cpp.

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

Referenced by PYBIND11_MODULE(), and ~TPZTriangle().

◆ LowerDimensionSides() [2/2]

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

static

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

Definition at line 434 of file tpztriangle.cpp.

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

◆ MapToSide()

template<class T >

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

static

Definition at line 294 of file tpztriangle.cpp.

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

Referenced by Shape().

◆ NBilinearSides()

int pztopology::TPZTriangle::NBilinearSides ( )

static

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

Definition at line 240 of file tpztriangle.cpp.

References DebugStop.

Referenced by RefElVolume().

◆ NContainedSides()

int pztopology::TPZTriangle::NContainedSides ( int side )

static

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

Definition at line 606 of file tpztriangle.cpp.

References PZError.

Referenced by ~TPZTriangle().

◆ NSideNodes()

int pztopology::TPZTriangle::NSideNodes ( int side )

static

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

Definition at line 247 of file tpztriangle.cpp.

Referenced by PYBIND11_MODULE(), and ~TPZTriangle().

◆ NumSides() [1/2]

int pztopology::TPZTriangle::NumSides ( )

static

Returns the number of connects of the element (7)

Definition at line 600 of file tpztriangle.cpp.

Referenced by PYBIND11_MODULE(), and ~TPZTriangle().

◆ NumSides() [2/2]

int pztopology::TPZTriangle::NumSides ( int dimension )

static

Returns the number of connects for a set dimension.

Definition at line 454 of file tpztriangle.cpp.

References PZError.

◆ ParametricDomainNodeCoord()

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

static

Definition at line 332 of file tpztriangle.cpp.

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

Referenced by Shape().

◆ RandomPoint()

void pztopology::TPZTriangle::RandomPoint ( TPZVec< REAL > & pt )

static

Generates a random point in the master domain.

Definition at line 367 of file tpztriangle.cpp.

References val().

Referenced by Shape().

◆ Read()

void pztopology::TPZTriangle::Read	(	TPZStream &	buf,
		void *	context
	)

overridevirtual

read objects from the stream

Reimplemented from TPZSavable.

Reimplemented in pzgeom::TPZNodeRep< 6, pztopology::TPZTriangle >, and pzgeom::TPZNodeRep< 3, pztopology::TPZTriangle >.

Definition at line 1215 of file tpztriangle.cpp.

◆ RefElVolume()

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

inlinestatic

Volume of the master element (measure)

Definition at line 239 of file tpztriangle.h.

References pztopology::bilinearounao, ComputeHCurlDirections(), ComputeHCurlFaceDirections(), ComputeHDivDirections(), GetSideHDivDirections(), and NBilinearSides().

Referenced by PYBIND11_MODULE().

◆ Shape()

static void pztopology::TPZTriangle::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 88 of file tpztriangle.h.

References BlendFactorForSide(), CenterPoint(), CheckProjectionForSingularity(), CreateSideIntegrationRule(), GetHDivGatherPermute(), GetTransformId(), pztopology::gTolerance, IsInParametricDomain(), MapToSide(), ParametricDomainNodeCoord(), RandomPoint(), SideToSideTransform(), TPZVec< T >::size(), pzgeom::tol, TransformElementToSide(), TransformSideToElement(), TShape(), Type(), and val().

◆ SideDimension()

int pztopology::TPZTriangle::SideDimension ( int side )

static

Returns the dimension of the side.

Definition at line 464 of file tpztriangle.cpp.

References PZError.

Referenced by pzrefine::TPZRefTriangle::GetTransform(), PYBIND11_MODULE(), and ~TPZTriangle().

◆ SideNodeLocId()

int pztopology::TPZTriangle::SideNodeLocId	(	int	side,
		int	node
	)

static

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

Definition at line 415 of file tpztriangle.cpp.

References PZError.

Referenced by PYBIND11_MODULE(), and ~TPZTriangle().

◆ SideToSideTransform()

TPZTransform pztopology::TPZTriangle::SideToSideTransform	(	int	sidefrom,
		int	sideto
	)

static

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

Parameters

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

See also: the class TPZTransform

Definition at line 376 of file tpztriangle.cpp.

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

Referenced by PYBIND11_MODULE(), and Shape().

◆ TransformElementToSide()

TPZTransform pztopology::TPZTriangle::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<=8)

Returns: TPZTransform<> object

Definition at line 483 of file tpztriangle.cpp.

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

Referenced by PYBIND11_MODULE(), and Shape().

◆ TransformSideToElement()

TPZTransform pztopology::TPZTriangle::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 523 of file tpztriangle.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 pztopology::TPZTriangle::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 27 of file tpztriangle.cpp.

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

◆ Type() [1/2]

MElementType pztopology::TPZTriangle::Type ( )

static

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

Definition at line 576 of file tpztriangle.cpp.

References ETriangle.

Referenced by Shape().

◆ Type() [2/2]

MElementType pztopology::TPZTriangle::Type ( int side )

static

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

Definition at line 581 of file tpztriangle.cpp.

References ENoType, EOned, EPoint, and ETriangle.

◆ Write()

void pztopology::TPZTriangle::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< 6, pztopology::TPZTriangle >, and pzgeom::TPZNodeRep< 3, pztopology::TPZTriangle >.

Definition at line 1219 of file tpztriangle.cpp.

Friends And Related Function Documentation

◆ pztopology::GetPermutation

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

friend

Member Data Documentation

◆ FaceNodes

int pztopology::TPZTriangle::FaceNodes

static

Definition at line 286 of file tpztriangle.h.

◆ fPermutations

int pztopology::TPZTriangle::fPermutations

staticprotected

Valid permutations between nodes.

Definition at line 292 of file tpztriangle.h.

◆ fTangentVectors

REAL pztopology::TPZTriangle::fTangentVectors

staticprotected

Definition at line 293 of file tpztriangle.h.

◆ gTrans2dT

REAL pztopology::TPZTriangle::gTrans2dT

static

Transformation of the point within a triangular face

Definition at line 287 of file tpztriangle.h.

◆ SideNodes

int pztopology::TPZTriangle::SideNodes

static

Definition at line 285 of file tpztriangle.h.

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

Topology/tpztriangle.h
Topology/tpztriangle.cpp

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Static Protected Attributes

Friends

Methods related over numeric integration

Detailed Description

Member Typedef Documentation

◆ GraphElType

◆ IntruleType

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ TPZTriangle()

◆ ~TPZTriangle()

Member Function Documentation

◆ BlendFactorForSide()

◆ CenterPoint()

◆ CheckProjectionForSingularity()

◆ ClassId()

◆ ComputeHCurlDirections()

◆ ComputeHCurlFaceDirections()

◆ ComputeHDivDirections()

◆ ContainedSideLocId() [1/2]

◆ ContainedSideLocId() [2/2]

◆ CreateSideIntegrationRule()

◆ GetHDivGatherPermute()

◆ 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

◆ FaceNodes

◆ fPermutations

◆ fTangentVectors

◆ gTrans2dT

◆ SideNodes