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

#include <tpzquadraticline.h>

Inheritance diagram for pzgeom::TPZQuadraticLine:

Collaboration diagram for pzgeom::TPZQuadraticLine:

Public Types
enum	{ NNodes }

typedef pztopology::TPZLine	Top

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

typedef TPZInt1d	IntruleType
	Typedef to numerical integration rule. More...

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

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

	TPZQuadraticLine (TPZVec< int64_t > &nodeindexes)

	TPZQuadraticLine ()

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

	TPZQuadraticLine (const TPZQuadraticLine &cp)

	TPZQuadraticLine (const TPZQuadraticLine &cp, TPZGeoMesh &)

Public Member Functions inherited from pzgeom::TPZNodeRep< 3, pztopology::TPZLine >
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::TPZLine > &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::TPZLine
	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 std::string	TypeName ()
	Returns the type name of the element. More...

static bool	IsLinearMapping (int side)

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 > &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	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)
	create an example element based on the topology More...

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

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...

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 side 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 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 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< 3, pztopology::TPZLine >
int64_t	fNodeIndexes [N]
	Node indexes of the element. More...

Static Public Attributes inherited from pzgeom::TPZNodeRep< 3, pztopology::TPZLine >
static const int	NNodes

Static Protected Attributes inherited from pztopology::TPZLine
static int	fPermutations [2][3]
	Valid permutations between nodes. More...

Detailed Description

Defines a linear geometric element with quadratic map. Geometry.

Author: Paulo Cesar de Alvarenga Lucci

Since: 2007

Definition at line 22 of file tpzquadraticline.h.

Member Typedef Documentation

◆ Top

typedef pztopology::TPZLine pzgeom::TPZQuadraticLine::Top

Definition at line 25 of file tpzquadraticline.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Enumerator
NNodes

Definition at line 26 of file tpzquadraticline.h.

Constructor & Destructor Documentation

◆ TPZQuadraticLine() [1/5]

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

inline

Definition at line 35 of file tpzquadraticline.h.

◆ TPZQuadraticLine() [2/5]

pzgeom::TPZQuadraticLine::TPZQuadraticLine ( )

inline

Definition at line 41 of file tpzquadraticline.h.

◆ TPZQuadraticLine() [3/5]

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

inline

Definition at line 46 of file tpzquadraticline.h.

◆ TPZQuadraticLine() [4/5]

pzgeom::TPZQuadraticLine::TPZQuadraticLine ( const TPZQuadraticLine & cp )

inline

Definition at line 51 of file tpzquadraticline.h.

◆ TPZQuadraticLine() [5/5]

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

inline

Definition at line 56 of file tpzquadraticline.h.

Member Function Documentation

◆ ClassId()

int TPZQuadraticLine::ClassId ( ) const

overridevirtual

CreateGeoElement -> TPZQuadraticLine.

Implements TPZSavable.

Definition at line 204 of file tpzquadraticline.cpp.

References Hash().

◆ GradX()

template<class T >

template void pzgeom::TPZQuadraticLine::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 58 of file tpzquadraticline.cpp.

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

Referenced by Shape().

◆ InsertExampleElement()

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

static

create an example element based on the topology

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

Definition at line 163 of file tpzquadraticline.cpp.

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

Referenced by Shape().

◆ IsLinearMapping()

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

inlinestatic

Definition at line 64 of file tpzquadraticline.h.

◆ Shape()

static void pzgeom::TPZQuadraticLine::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.

Creates a geometric element according to the type of the father elementCompute the shape being used to construct the X mapping from local parametric coordinates

Definition at line 85 of file tpzquadraticline.h.

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

◆ TShape()

template<class T >

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

static

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

Definition at line 32 of file tpzquadraticline.cpp.

Referenced by Shape().

◆ TypeName()

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

inlinestatic

Returns the type name of the element.

Definition at line 62 of file tpzquadraticline.h.

◆ X()

template<class T >

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

static

Definition at line 46 of file tpzquadraticline.cpp.

References TPZFMatrix< TVar >::GetVal().

Referenced by Shape().

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

SpecialMaps/tpzquadraticline.h
SpecialMaps/tpzquadraticline.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

◆ TPZQuadraticLine() [1/5]

◆ TPZQuadraticLine() [2/5]

◆ TPZQuadraticLine() [3/5]

◆ TPZQuadraticLine() [4/5]

◆ TPZQuadraticLine() [5/5]

Member Function Documentation

◆ ClassId()

◆ GradX()

◆ InsertExampleElement()

◆ IsLinearMapping()

◆ Shape()

◆ TShape()

◆ TypeName()

◆ X()