Defines the topology of a Pyramid element. Topology Sides 0 to 4 are vertices, sides 5 to 12 are lines, side 13 are quadrilateral (pyramid base), sides 14 to 17 are triangles and side 18 is the pyramid. More...

#include <tpzpyramid.h>

Inheritance diagram for pztopology::TPZPyramid:

[legend]

Collaboration diagram for pztopology::TPZPyramid:

[legend]

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...

	TPZPyramid ()
	Default constructor. More...

virtual	~TPZPyramid ()
	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. 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...

template<class TVar >
static void	AdjustTopDirections (int ConstrainedFace, TPZFMatrix< TVar > &gradx, TPZFMatrix< TVar > &directions)
	Adjust the directions associated with the tip of the pyramid, considering that one of the faces is constrained. More...

static int	NBilinearSides ()

static void	CornerShape (const TPZVec< REAL > &pt, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi)
	Computes the corner shape functions of the element. More...

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 ()
	Number of connects of the element (21) 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...

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 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 projects 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 Public Attributes
static int	FaceNodes [5][4]
	Nodes over quadrilateral sides (2d - faces). More...

static int	SideNodes [8][2]
	Nodes over lines sides (1d) More...

Static Protected Attributes
Data structure which defines the pyramid transformations
static int	ShapeFaceId [5][4]
	Ids of the shape face. More...

static int	fPermutations [8][19]
	Valid permutations between nodes. More...

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

Methods related over numeric integration
typedef TPZIntPyram3D	IntruleType
	Typedef to numerical integration rule. More...

typedef TPZGraphElPyramidMapped	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 Pyramid element. Topology Sides 0 to 4 are vertices, sides 5 to 12 are lines, side 13 are quadrilateral (pyramid base), sides 14 to 17 are triangles and side 18 is the pyramid.

Author: Philippe R. B. Devloo

Definition at line 35 of file tpzpyramid.h.

Member Typedef Documentation

◆ GraphElType

typedef TPZGraphElPyramidMapped pztopology::TPZPyramid::GraphElType

Typedef to graphical element type.

Definition at line 213 of file tpzpyramid.h.

◆ IntruleType

typedef TPZIntPyram3D pztopology::TPZPyramid::IntruleType

Typedef to numerical integration rule.

Definition at line 211 of file tpzpyramid.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Enumerate for topological characteristics.

Enumerator
NSides
NCornerNodes
Dimension
NFaces
NPermutations

Definition at line 39 of file tpzpyramid.h.

Constructor & Destructor Documentation

◆ TPZPyramid()

pztopology::TPZPyramid::TPZPyramid ( )

inline

Default constructor.

Definition at line 46 of file tpzpyramid.h.

◆ ~TPZPyramid()

virtual pztopology::TPZPyramid::~TPZPyramid ( )

inlinevirtual

Default destructor.

Definition at line 50 of file tpzpyramid.h.

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

Member Function Documentation

◆ AdjustTopDirections()

template<class TVar >

template void pztopology::TPZPyramid::AdjustTopDirections< REAL >	(	int	ConstrainedFace,
		TPZFMatrix< TVar > &	gradx,
		TPZFMatrix< TVar > &	directions
	)

static

Adjust the directions associated with the tip of the pyramid, considering that one of the faces is constrained.

Definition at line 1698 of file tpzpyramid.cpp.

References TPZMatrix< TVar >::Cols(), TPZAxesTools< TVar >::ComputeDetjac(), and DebugStop.

Referenced by TPZGeoElRefLess< TGeo >::HDivDirections(), and RefElVolume().

◆ BlendFactorForSide()

template<class T >

template void pztopology::TPZPyramid::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 365 of file tpzpyramid.cpp.

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

Referenced by Shape().

◆ CenterPoint()

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

static

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

Definition at line 510 of file tpzpyramid.cpp.

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

Referenced by PYBIND11_MODULE(), and Shape().

◆ CheckProjectionForSingularity()

template<class T >

template bool pztopology::TPZPyramid::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 985 of file tpzpyramid.cpp.

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

Referenced by Shape().

◆ ClassId()

int pztopology::TPZPyramid::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< 13, pztopology::TPZPyramid >, and pzgeom::TPZNodeRep< 5, pztopology::TPZPyramid >.

Definition at line 1869 of file tpzpyramid.cpp.

References Hash().

Referenced by pzshape::TPZShapePiram::ClassId().

◆ ComputeDirections()

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

static

Definition at line 1466 of file tpzpyramid.cpp.

References TPZMatrix< TVar >::Cols(), TPZAxesTools< TVar >::ComputeDetjac(), pztopology::computedirectionsPy(), DebugStop, TPZFMatrix< TVar >::PutVal(), TPZFMatrix< TVar >::Redim(), TPZVec< T >::Resize(), and TPZFMatrix< TVar >::Resize().

Referenced by RefElVolume().

◆ ComputeHDivDirections()

template<class TVar >

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

static

Compute the directions of the HDiv vectors.

Referenced by RefElVolume().

◆ ContainedSideLocId()

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

static

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

Definition at line 923 of file tpzpyramid.cpp.

References PZError.

Referenced by ~TPZPyramid().

◆ CornerShape()

void pztopology::TPZPyramid::CornerShape	(	const TPZVec< REAL > &	pt,
		TPZFMatrix< REAL > &	phi,
		TPZFMatrix< REAL > &	dphi
	)

static

Computes the corner shape functions of the element.

Parameters

pt	(input) point where the shape function is computed
phi	(output) value of the (5) shape functions
dphi	(output) value of the derivatives of the (5) shape functions holding the derivatives in a column

Definition at line 1804 of file tpzpyramid.cpp.

References fabs.

Referenced by RefElVolume().

◆ CreateSideIntegrationRule()

TPZIntPoints * pztopology::TPZPyramid::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 842 of file tpzpyramid.cpp.

References PZError.

Referenced by GetTransformId(), and PYBIND11_MODULE().

◆ GetSideHDivDirections() [1/2]

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

static

Definition at line 1768 of file tpzpyramid.cpp.

References TPZVec< T >::Resize().

Referenced by RefElVolume().

◆ GetSideHDivDirections() [2/2]

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

static

Definition at line 1784 of file tpzpyramid.cpp.

References TPZVec< T >::Resize().

◆ GetSideHDivPermutation()

void pztopology::TPZPyramid::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 1331 of file tpzpyramid.cpp.

References DebugStop.

◆ GetTransformId() [1/2]

static int pztopology::TPZPyramid::GetTransformId ( TPZVec< int64_t > & id )

inlinestatic

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 184 of file tpzpyramid.h.

References CreateSideIntegrationRule(), and DebugStop.

◆ GetTransformId() [2/2]

int pztopology::TPZPyramid::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

Definition at line 1337 of file tpzpyramid.cpp.

References pztopology::computedirectionsPy(), DebugStop, pztopology::TPZTriangle::GetTransformId(), and pztopology::TPZQuadrilateral::GetTransformId().

◆ HigherDimensionSides()

void pztopology::TPZPyramid::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 482 of file tpzpyramid.cpp.

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

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

◆ IsInParametricDomain()

bool pztopology::TPZPyramid::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 952 of file tpzpyramid.cpp.

References fabs.

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

◆ LowerDimensionSides() [1/2]

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

static

Get all sides with lower dimension on side.

Definition at line 464 of file tpzpyramid.cpp.

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

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

◆ LowerDimensionSides() [2/2]

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

static

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

Definition at line 473 of file tpzpyramid.cpp.

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

◆ MapToSide()

template<class T >

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

static

Definition at line 1058 of file tpzpyramid.cpp.

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

Referenced by Shape().

◆ NBilinearSides()

int pztopology::TPZPyramid::NBilinearSides ( )

static

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

Definition at line 458 of file tpzpyramid.cpp.

References DebugStop.

Referenced by RefElVolume().

◆ NContainedSides()

int pztopology::TPZPyramid::NContainedSides ( int side )

static

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

Definition at line 913 of file tpzpyramid.cpp.

Referenced by ~TPZPyramid().

◆ NSideNodes()

int pztopology::TPZPyramid::NSideNodes ( int side )

static

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

Definition at line 82 of file tpzpyramid.cpp.

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

◆ NumSides() [1/2]

int pztopology::TPZPyramid::NumSides ( )

static

Number of connects of the element (21)

Definition at line 897 of file tpzpyramid.cpp.

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

◆ NumSides() [2/2]

int pztopology::TPZPyramid::NumSides ( int dimension )

static

Returns the number of connects for a set dimension.

Definition at line 902 of file tpzpyramid.cpp.

References PZError.

◆ ParametricDomainNodeCoord()

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

static

Definition at line 1272 of file tpzpyramid.cpp.

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

Referenced by Shape().

◆ RandomPoint()

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

static

Generates a random point in the master domain.

Definition at line 973 of file tpzpyramid.cpp.

References val().

Referenced by Shape().

◆ Read()

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

overridevirtual

read objects from the stream

Reimplemented from TPZSavable.

Reimplemented in pzgeom::TPZNodeRep< 13, pztopology::TPZPyramid >, and pzgeom::TPZNodeRep< 5, pztopology::TPZPyramid >.

Definition at line 1873 of file tpzpyramid.cpp.

◆ RefElVolume()

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

inlinestatic

Volume of the master element.

Definition at line 227 of file tpzpyramid.h.

References AdjustTopDirections(), pztopology::bilinearounao, ComputeDirections(), ComputeHDivDirections(), CornerShape(), GetSideHDivDirections(), and NBilinearSides().

Referenced by PYBIND11_MODULE().

◆ Shape()

static void pztopology::TPZPyramid::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 tpzpyramid.h.

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

◆ SideDimension()

int pztopology::TPZPyramid::SideDimension ( int side )

static

Returns the dimension of the side.

Definition at line 520 of file tpzpyramid.cpp.

References PZError.

Referenced by pzrefine::TPZRefPyramid::GetTransform(), pzrefine::TPZRefTetrahedra::GetTransform(), PYBIND11_MODULE(), and ~TPZPyramid().

◆ SideNodeLocId()

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

static

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

Definition at line 492 of file tpzpyramid.cpp.

References PZError.

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

◆ SideToSideTransform()

TPZTransform pztopology::TPZPyramid::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

See also: the class TPZTransform

Definition at line 528 of file tpzpyramid.cpp.

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

Referenced by PYBIND11_MODULE(), and Shape().

◆ TransformElementToSide()

TPZTransform pztopology::TPZPyramid::TransformElementToSide ( int side )

static

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

Parameters

side	Side to which the point will be tranformed (0<=side<=20)

Returns: TPZTransform<> object

Definition at line 563 of file tpzpyramid.cpp.

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

Referenced by PYBIND11_MODULE(), and Shape().

◆ TransformSideToElement()

TPZTransform pztopology::TPZPyramid::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<=20)

Returns: TPZTransform<> object

Definition at line 711 of file tpzpyramid.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::TPZPyramid::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 302 of file tpzpyramid.cpp.

References DebugStop, and IsZero().

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

◆ Type() [1/2]

MElementType pztopology::TPZPyramid::Type ( )

static

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

Definition at line 859 of file tpzpyramid.cpp.

References EPiramide.

Referenced by Shape().

◆ Type() [2/2]

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

static

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

Definition at line 864 of file tpzpyramid.cpp.

References ENoType, EOned, EPiramide, EPoint, EQuadrilateral, and ETriangle.

◆ Write()

void pztopology::TPZPyramid::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< 13, pztopology::TPZPyramid >, and pzgeom::TPZNodeRep< 5, pztopology::TPZPyramid >.

Definition at line 1877 of file tpzpyramid.cpp.

Friends And Related Function Documentation

◆ pztopology::GetPermutation

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

friend

Member Data Documentation

◆ FaceNodes

int pztopology::TPZPyramid::FaceNodes

static

Nodes over quadrilateral sides (2d - faces).

Definition at line 259 of file tpzpyramid.h.

◆ fPermutations

int pztopology::TPZPyramid::fPermutations

staticprotected

Valid permutations between nodes.

Definition at line 274 of file tpzpyramid.h.

◆ ShapeFaceId

int pztopology::TPZPyramid::ShapeFaceId

staticprotected

Ids of the shape face.

Definition at line 271 of file tpzpyramid.h.

◆ SideNodes

int pztopology::TPZPyramid::SideNodes

static

Nodes over lines sides (1d)

Definition at line 262 of file tpzpyramid.h.

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

Topology/tpzpyramid.h
Topology/tpzpyramid.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

◆ TPZPyramid()

◆ ~TPZPyramid()

Member Function Documentation

◆ AdjustTopDirections()

◆ BlendFactorForSide()

◆ CenterPoint()

◆ CheckProjectionForSingularity()

◆ ClassId()

◆ ComputeDirections()

◆ ComputeHDivDirections()

◆ ContainedSideLocId()

◆ CornerShape()

◆ 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

◆ FaceNodes

◆ fPermutations

◆ ShapeFaceId

◆ SideNodes