Defines a triangular geometric element with quadratic map. Geometry. More...

#include <tpzquadratictrig.h>

Inheritance diagram for pzgeom::TPZQuadraticTrig:

Collaboration diagram for pzgeom::TPZQuadraticTrig:

Public Types
enum	{ NNodes }
	Number of nodes. More...

typedef pztopology::TPZTriangle	Top

Public Types inherited from pztopology::TPZTriangle
enum	{ NSides, NCornerNodes, Dimension, NFaces, NPermutations }
	Enumerate for topological characteristics. More...

typedef TPZIntTriang	IntruleType
	Typedef to numerical integration rule. More...

typedef TPZGraphElT2dMapped	GraphElType
	Typedef to graphical element type. More...

Public Member Functions
int	ClassId () const override
	CreateGeoElement -> TPZQuadraticTrig. More...

	TPZQuadraticTrig (TPZVec< int64_t > &nodeindexes)
	Constructor for node indexes given. More...

	TPZQuadraticTrig ()
	Default constructor. More...

	TPZQuadraticTrig (const TPZQuadraticTrig &cp, std::map< int64_t, int64_t > &gl2lcNdMap)
	Copy constructor for node map given. More...

	TPZQuadraticTrig (const TPZQuadraticTrig &cp)
	Copy constructor. More...

	TPZQuadraticTrig (const TPZQuadraticTrig &cp, TPZGeoMesh &)
	Copy constructor. More...

Public Member Functions inherited from pzgeom::TPZNodeRep< 6, pztopology::TPZTriangle >
virtual void	SetNeighbourInfo (int side, TPZGeoElSide &neigh, TPZTransform<> &trans)

bool	IsLinearMapping () const

bool	IsGeoBlendEl () const

bool	ResetBlendConnectivity (const int64_t &side, const int64_t &index)

	TPZNodeRep (TPZVec< int64_t > &nodeindexes)
	Constructor with list of nodes. More...

	TPZNodeRep ()
	Empty constructor. More...

	TPZNodeRep (const TPZNodeRep &cp, std::map< int64_t, int64_t > &gl2lcNdMap)
	Constructor with node map. More...

	TPZNodeRep (const TPZNodeRep< N, pztopology::TPZTriangle > &cp)
	Copy constructor. More...

void	Read (TPZStream &buf, void *context) override

void	Write (TPZStream &buf, int withclassid) const override

void	Initialize (TPZVec< int64_t > &nodeindexes)

void	Initialize (TPZGeoEl *)

void	Print (std::ostream &out) const

int	ClassId () const override

Public Member Functions inherited from pztopology::TPZTriangle
	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 bool	IsLinearMapping (int side)
	It is a quadratic mapping. More...

static std::string	TypeName ()
	Returns the type name of the element. More...

static void	Shape (TPZVec< REAL > &loc, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi)
	Method which creates a geometric boundary condition element based on the current geometric element, a side and a boundary condition number. More...

template<class T >
static void	TShape (const TPZVec< T > &param, TPZFMatrix< T > &phi, TPZFMatrix< T > &dphi)
	Compute gradient of x mapping from local parametric coordinates. More...

template<class T >
static void	X (const TPZFMatrix< REAL > &coord, TPZVec< T > &par, TPZVec< T > &result)

template<class T >
static void	GradX (const TPZFMatrix< REAL > &nodes, TPZVec< T > &loc, TPZFMatrix< T > &gradx)
	Compute gradient of X mapping from element nodes and local parametric coordinates. More...

static void	InsertExampleElement (TPZGeoMesh &gmesh, int matid, TPZVec< REAL > &lowercorner, TPZVec< REAL > &size)
	Creates a geometric element according to the type of the father element. More...

Static Public Member Functions inherited from pztopology::TPZTriangle
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 ()

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)

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)

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...

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

Additional Inherited Members
Public Attributes inherited from pzgeom::TPZNodeRep< 6, pztopology::TPZTriangle >
int64_t	fNodeIndexes [N]
	Node indexes of the element. More...

Static Public Attributes inherited from pzgeom::TPZNodeRep< 6, pztopology::TPZTriangle >
static const int	NNodes

Static Public Attributes inherited from pztopology::TPZTriangle
static int	SideNodes [3][2]

static int	FaceNodes [1][3]

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

Static Protected Attributes inherited from pztopology::TPZTriangle
static int	fPermutations [6][7]
	Valid permutations between nodes. More...

static REAL	fTangentVectors [12][2]

Detailed Description

Defines a triangular geometric element with quadratic map. Geometry.

Author: Paulo Cesar de Alvarenga Lucci (Caju)

Since: 2007

Definition at line 22 of file tpzquadratictrig.h.

Member Typedef Documentation

◆ Top

typedef pztopology::TPZTriangle pzgeom::TPZQuadraticTrig::Top

Definition at line 25 of file tpzquadratictrig.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Number of nodes.

Enumerator
NNodes

Definition at line 27 of file tpzquadratictrig.h.

Constructor & Destructor Documentation

◆ TPZQuadraticTrig() [1/5]

pzgeom::TPZQuadraticTrig::TPZQuadraticTrig ( TPZVec< int64_t > & nodeindexes )

inline

Constructor for node indexes given.

Definition at line 42 of file tpzquadratictrig.h.

◆ TPZQuadraticTrig() [2/5]

pzgeom::TPZQuadraticTrig::TPZQuadraticTrig ( )

inline

Default constructor.

Definition at line 47 of file tpzquadratictrig.h.

◆ TPZQuadraticTrig() [3/5]

pzgeom::TPZQuadraticTrig::TPZQuadraticTrig	(	const TPZQuadraticTrig &	cp,
		std::map< int64_t, int64_t > &	gl2lcNdMap
	)

inline

Copy constructor for node map given.

Definition at line 51 of file tpzquadratictrig.h.

◆ TPZQuadraticTrig() [4/5]

pzgeom::TPZQuadraticTrig::TPZQuadraticTrig ( const TPZQuadraticTrig & cp )

inline

Copy constructor.

Definition at line 55 of file tpzquadratictrig.h.

◆ TPZQuadraticTrig() [5/5]

pzgeom::TPZQuadraticTrig::TPZQuadraticTrig	(	const TPZQuadraticTrig &	cp,
		TPZGeoMesh &
	)

inline

Copy constructor.

Definition at line 59 of file tpzquadratictrig.h.

Member Function Documentation

◆ ClassId()

int TPZQuadraticTrig::ClassId ( ) const

overridevirtual

CreateGeoElement -> TPZQuadraticTrig.

Implements TPZSavable.

Definition at line 268 of file tpzquadratictrig.cpp.

References Hash().

◆ GradX()

template<class T >

template void pzgeom::TPZQuadraticTrig::GradX	(	const TPZFMatrix< REAL > &	nodes,
		TPZVec< T > &	loc,
		TPZFMatrix< T > &	gradx
	)

static

Compute gradient of X mapping from element nodes and local parametric coordinates.

Definition at line 84 of file tpzquadratictrig.cpp.

References TPZMatrix< TVar >::Cols(), DebugStop, TPZFMatrix< TVar >::GetVal(), TPZFMatrix< TVar >::Resize(), TPZMatrix< TVar >::Rows(), and TPZFMatrix< TVar >::Zero().

Referenced by Shape().

◆ InsertExampleElement()

void TPZQuadraticTrig::InsertExampleElement	(	TPZGeoMesh &	gmesh,
		int	matid,
		TPZVec< REAL > &	lowercorner,
		TPZVec< REAL > &	size
	)

static

Creates a geometric element according to the type of the father element.

create an example element based on the topology

Creates a geometric element according to the type of the father element

Definition at line 178 of file tpzquadratictrig.cpp.

References TPZAdmChunkVector< T, EXP >::AllocateNewElement(), TPZChangeEl::ChangeToQuadratic(), co, TPZGeoMesh::CreateGeoElement(), TPZGeoMesh::Element(), ETriangle, TPZGeoNode::GetCoordinates(), TPZGeoEl::NCornerNodes(), TPZGeoEl::NNodes(), TPZGeoEl::NodePtr(), TPZGeoMesh::NodeVec(), TPZGeoEl::NSides(), TPZGeoNode::SetCoord(), and TPZGeoEl::SetSideDefined().

Referenced by Shape().

◆ IsLinearMapping()

static bool pzgeom::TPZQuadraticTrig::IsLinearMapping ( int side )

inlinestatic

It is a quadratic mapping.

Definition at line 36 of file tpzquadratictrig.h.

◆ Shape()

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

inlinestatic

Method which creates a geometric boundary condition element based on the current geometric element, a side and a boundary condition number.

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

Definition at line 73 of file tpzquadratictrig.h.

References GradX(), InsertExampleElement(), TShape(), and X().

◆ TShape()

template<class T >

void TPZQuadraticTrig::TShape	(	const TPZVec< T > &	param,
		TPZFMatrix< T > &	phi,
		TPZFMatrix< T > &	dphi
	)

static

Compute gradient of x mapping from local parametric coordinates.

/ Class made by Paulo Cesar de Alvarenga Lucci (Caju) / LabMeC - FEC - UNICAMP / 2007

Definition at line 43 of file tpzquadratictrig.cpp.

Referenced by Shape().

◆ TypeName()

static std::string pzgeom::TPZQuadraticTrig::TypeName ( )

inlinestatic

Returns the type name of the element.

Definition at line 63 of file tpzquadratictrig.h.

◆ X()

template<class T >

template void pzgeom::TPZQuadraticTrig::X	(	const TPZFMatrix< REAL > &	coord,
		TPZVec< T > &	par,
		TPZVec< T > &	result
	)

static

Definition at line 68 of file tpzquadratictrig.cpp.

References TPZFMatrix< TVar >::GetVal().

Referenced by Shape().

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

SpecialMaps/tpzquadratictrig.h
SpecialMaps/tpzquadratictrig.cpp

Public Types

Public Member Functions

Static Public Member Functions

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ Top

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ TPZQuadraticTrig() [1/5]

◆ TPZQuadraticTrig() [2/5]

◆ TPZQuadraticTrig() [3/5]

◆ TPZQuadraticTrig() [4/5]

◆ TPZQuadraticTrig() [5/5]

Member Function Documentation

◆ ClassId()

◆ GradX()

◆ InsertExampleElement()

◆ IsLinearMapping()

◆ Shape()

◆ TShape()

◆ TypeName()

◆ X()