Implements a blending map from curved boundaries to the interior of the element. Geometry. More...

#include <tpzgeoblend.h>

Inheritance diagram for pzgeom::TPZGeoBlend< TGeo >:

Collaboration diagram for pzgeom::TPZGeoBlend< TGeo >:

Public Types
typedef TGeo::Top	Top

Public Member Functions
int	ClassId () const override

bool	IsLinearMapping (int side) const

bool	IsGeoBlendEl () const

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

	TPZGeoBlend ()
	Empty constructor. More...

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

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

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

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

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

void	SetNeighbourInfo (int side, TPZGeoElSide &neigh, TPZTransform<> &trans) override

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

TPZGeoElSide	Neighbour (int side, TPZGeoMesh *gmesh) const

template<class T >
void	TransfBetweenNeigh (int side, TPZTransform< T > &tr) const

template<class T >
void	X (TPZFMatrix< REAL > &cornerco, TPZVec< T > &par, TPZVec< T > &result) const
	Get the coordinates of the point at geometric elements from coordinates of the parametric point at the master element. More...

void	Jacobian (TPZFMatrix< REAL > &cornerco, TPZVec< REAL > &par, TPZFMatrix< REAL > &jacobian, TPZFMatrix< REAL > &axes, REAL &detjac, TPZFMatrix< REAL > &jacinv) const
	Computes the Jacobian for parametric point at master element. More...

template<class T >
void	GradX (TPZFMatrix< REAL > &cornerco, TPZVec< T > &par, TPZFMatrix< T > &gradx) const
	Computes the gradient of the transformation for parametric point at master element. More...

void	Print (std::ostream &out=std::cout) const
	Print all relevant data of the element to cout. More...

void	Initialize (TPZGeoEl *refel)
	Initialize the element checking connectivity on all sides. More...

Static Public Member Functions
static std::string	TypeName ()
	Returns the type name of the element. More...

static void	InsertExampleElement (TPZGeoMesh &gmesh, int matid, TPZVec< REAL > &lowercorner, TPZVec< REAL > &size)
	Method which creates a geometric boundary condition element based on the current geometric element, a side and a boundary condition number. More...

Protected Member Functions
template<class T >
bool	MapToNeighSide (int side, int sidedim, TPZVec< T > &InternalPar, TPZVec< T > &NeighPar, TPZFMatrix< T > &JacNeighSide) const
	Creates a geometric element according to the type of the father element. More...

Protected Attributes
TPZGeoEl *	fGeoEl
	Vector of indexes of the neighbours. More...

TPZGeoElSideIndex	fNeighbours [1+TGeo::NSides - TGeo::NNodes]

TPZTransform	fTrans [1+TGeo::NSides - TGeo::NNodes]

Detailed Description

template<class TGeo>
class pzgeom::TPZGeoBlend< TGeo >

Implements a blending map from curved boundaries to the interior of the element. Geometry.

Author: Paulo Cesar de Alvarenga Lucci

Since: 2007

Definition at line 27 of file tpzgeoblend.h.

Member Typedef Documentation

◆ Top

template<class TGeo >

typedef TGeo::Top pzgeom::TPZGeoBlend< TGeo >::Top

Definition at line 38 of file tpzgeoblend.h.

Constructor & Destructor Documentation

◆ TPZGeoBlend() [1/5]

template<class TGeo >

pzgeom::TPZGeoBlend< TGeo >::TPZGeoBlend ( TPZVec< int64_t > & nodeindexes )

inline

Constructor with list of nodes.

Definition at line 40 of file tpzgeoblend.h.

◆ TPZGeoBlend() [2/5]

template<class TGeo >

pzgeom::TPZGeoBlend< TGeo >::TPZGeoBlend ( )

inline

Empty constructor.

Definition at line 45 of file tpzgeoblend.h.

◆ TPZGeoBlend() [3/5]

template<class TGeo >

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

inline

Constructor with node map.

Definition at line 50 of file tpzgeoblend.h.

◆ TPZGeoBlend() [4/5]

template<class TGeo >

pzgeom::TPZGeoBlend< TGeo >::TPZGeoBlend ( const TPZGeoBlend< TGeo > & cp )

inline

Copy constructor.

Definition at line 56 of file tpzgeoblend.h.

References pzgeom::TPZGeoBlend< TGeo >::fNeighbours, and pzgeom::TPZGeoBlend< TGeo >::fTrans.

◆ TPZGeoBlend() [5/5]

template<class TGeo >

pzgeom::TPZGeoBlend< TGeo >::TPZGeoBlend	(	const TPZGeoBlend< TGeo > &	cp,
		TPZGeoMesh &
	)

inline

Copy constructor.

Definition at line 64 of file tpzgeoblend.h.

References pzgeom::TPZGeoBlend< TGeo >::fNeighbours, and pzgeom::TPZGeoBlend< TGeo >::fTrans.

Member Function Documentation

◆ ClassId()

template<class TGeo >

int pzgeom::TPZGeoBlend< TGeo >::ClassId ( ) const

override

Definition at line 252 of file tpzgeoblend.h.

References Hash().

◆ GradX()

template<class TGeo >

template<class T >

void pzgeom::TPZGeoBlend< TGeo >::GradX	(	TPZFMatrix< REAL > &	cornerco,
		TPZVec< T > &	par,
		TPZFMatrix< T > &	gradx
	)		const

Computes the gradient of the transformation for parametric point at master element.

The non-linear mapping is calculated from deviations of the linear mapping. The linear mapping of an element (or of any of its side) can be calculated with the barycentric coordinates of the nodes contained in it

Now, the deviation for any non-linearity of the sides' mappings must be taken into account.

Calculates the linear mapping of the side sideIndex, and the projected point on sideIndex

Calculates the non-linear mapping of the side sideIndex

Definition at line 84 of file tpzgeoblend.cpp.

References TPZMatrix< TVar >::Cols(), DebugStop, TPZGeoElSide::Dimension(), TPZGeoElSide::Exists(), TPZGeoEl::Id(), LOGPZ_DEBUG, MElementType_Name(), MElementType_NNodes(), TPZGeoEl::Mesh(), TPZMatrix< TVar >::Multiply(), TPZVec< T >::NElements(), TPZFMatrix< TVar >::Redim(), TPZMatrix< TVar >::Rows(), TPZVec< T >::size(), TPZExtractVal::val(), and val().

Referenced by pzgeom::TPZGeoBlend< TGeo >::TypeName().

◆ Initialize()

template<class TGeo >

void pzgeom::TPZGeoBlend< TGeo >::Initialize ( TPZGeoEl * refel )

Initialize the element checking connectivity on all sides.

/ Este método percorre todos os lados do elemento fornecido (el) e, para cada lado, / percorre todos os vizinhos até retornar a si próprio. Se neste processo encontrar algum elemento que / seja quadrático e não seja do tipo TPZGeoBlend, recorre ao método SetNeighbourInfo() para estabelecer que este / elemento encontrado será seu vizinho pelo respectivo lado.

Definition at line 938 of file tpzgeoblend.cpp.

References TPZGeoElSide::Dimension(), TPZGeoElSide::Element(), TPZGeoElSide::Neighbour(), TPZGeoEl::SideIsUndefined(), and TPZGeoElSide::SideTransform3().

Referenced by pzgeom::TPZGeoBlend< TGeo >::TypeName().

◆ InsertExampleElement()

template<class TGeo >

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

static

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

create an example element based on the topology

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

Definition at line 1066 of file tpzgeoblend.cpp.

References CreateCubeEl(), TPZGeoMesh::CreateGeoBlendElement(), CreateLinearEl(), CreatePointEl(), CreatePrismEl(), CreatePyramEl(), CreateQuadEl(), CreateTetraEl(), CreateTriangleEl(), TPZGeoMesh::Element(), TPZGeoMesh::ElementVec(), TPZGeoElRefLess< TGeo >::Geom(), IMPLEMENTBLEND, TPZChunkVector< T, EXP >::NElements(), TPZGeoEl::NodeIndex(), and pzgeom::TPZWavyLine::SetData().

Referenced by pzgeom::TPZGeoBlend< TGeo >::TypeName().

◆ IsGeoBlendEl()

template<class TGeo >

bool pzgeom::TPZGeoBlend< TGeo >::IsGeoBlendEl ( ) const

inline

Definition at line 35 of file tpzgeoblend.h.

◆ IsLinearMapping()

template<class TGeo >

bool pzgeom::TPZGeoBlend< TGeo >::IsLinearMapping ( int side ) const

Definition at line 20 of file tpzgeoblend.cpp.

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

◆ Jacobian()

template<class TGeo >

void pzgeom::TPZGeoBlend< TGeo >::Jacobian	(	TPZFMatrix< REAL > &	cornerco,
		TPZVec< REAL > &	par,
		TPZFMatrix< REAL > &	jacobian,
		TPZFMatrix< REAL > &	axes,
		REAL &	detjac,
		TPZFMatrix< REAL > &	jacinv
	)		const

Computes the Jacobian for parametric point at master element.

Definition at line 733 of file tpzgeoblend.cpp.

References TPZMatrix< TVar >::Cols(), TPZGeoElSide::Dimension(), TPZGeoElSide::Exists(), TPZFMatrix< TVar >::GramSchmidt(), IsZero(), LOGPZ_DEBUG, LOGPZ_ERROR, TPZGeoEl::Mesh(), TPZMatrix< TVar >::Multiply(), TPZVec< T >::NElements(), TPZVec< T >::Print(), TPZMatrix< TVar >::Print(), TPZFMatrix< TVar >::Resize(), TPZMatrix< TVar >::Rows(), Shape(), TPZFMatrix< TVar >::Transpose(), TPZFMatrix< TVar >::Zero(), and ZeroTolerance().

Referenced by pzgeom::TPZGeoBlend< TGeo >::TypeName().

◆ MapToNeighSide()

template<class TGeo >

template<class T >

bool pzgeom::TPZGeoBlend< TGeo >::MapToNeighSide	(	int	side,
		int	sidedim,
		TPZVec< T > &	InternalPar,
		TPZVec< T > &	NeighPar,
		TPZFMatrix< T > &	JacNeighSide
	)		const

inlineprotected

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

Project the InternalPar parameter to the parameter of the neighbour along side. Return true if the map is nonsingular

Definition at line 185 of file tpzgeoblend.h.

References TPZTransform< T >::Apply(), TPZMatrix< TVar >::Cols(), LOGPZ_DEBUG, TPZTransform< T >::Mult(), TPZMatrix< TVar >::Multiply(), TPZVec< T >::NElements(), TPZMatrix< TVar >::Print(), TPZVec< T >::Resize(), TPZFMatrix< TVar >::Resize(), TPZMatrix< TVar >::Rows(), and pzgeom::TPZGeoBlend< TGeo >::TransfBetweenNeigh().

Referenced by pzgeom::TPZGeoBlend< TGeo >::TypeName().

◆ Neighbour()

template<class TGeo >

TPZGeoElSide pzgeom::TPZGeoBlend< TGeo >::Neighbour	(	int	side,
		TPZGeoMesh *	gmesh
	)		const

inline

Definition at line 95 of file tpzgeoblend.h.

References DebugStop, and pzgeom::TPZGeoBlend< TGeo >::fNeighbours.

◆ Print()

template<class TGeo >

void pzgeom::TPZGeoBlend< TGeo >::Print ( std::ostream & out = std::cout ) const

Print all relevant data of the element to cout.

Definition at line 925 of file tpzgeoblend.cpp.

Referenced by pzgeom::TPZGeoBlend< TGeo >::TypeName().

◆ Read()

template<class TGeo >

void pzgeom::TPZGeoBlend< TGeo >::Read	(	TPZStream &	buf,
		void *	context
	)

inlineoverride

Definition at line 71 of file tpzgeoblend.h.

References pzgeom::TPZGeoBlend< TGeo >::fNeighbours, pzgeom::TPZGeoBlend< TGeo >::fTrans, TPZGeoElSideIndex::Read(), and TPZTransform< T >::Read().

◆ ResetBlendConnectivity()

template<class TGeo >

bool pzgeom::TPZGeoBlend< TGeo >::ResetBlendConnectivity	(	const int64_t &	side,
		const int64_t &	index
	)

Definition at line 48 of file tpzgeoblend.cpp.

Referenced by pzgeom::TPZGeoBlend< TGeo >::Write().

◆ SetNeighbourInfo()

template<class TGeo >

void pzgeom::TPZGeoBlend< TGeo >::SetNeighbourInfo	(	int	side,
		TPZGeoElSide &	neigh,
		TPZTransform<> &	trans
	)

override

Definition at line 57 of file tpzgeoblend.cpp.

References TPZGeoElSide::Element(), LOGPZ_WARN, and TPZGeoEl::Print().

Referenced by pzgeom::TPZGeoBlend< TGeo >::Write().

◆ TransfBetweenNeigh()

template<class TGeo >

template<class T >

void pzgeom::TPZGeoBlend< TGeo >::TransfBetweenNeigh	(	int	side,
		TPZTransform< T > &	tr
	)		const

inline

Definition at line 103 of file tpzgeoblend.h.

References TPZTransform< T >::CopyFrom(), and pzgeom::TPZGeoBlend< TGeo >::fTrans.

Referenced by pzgeom::TPZGeoBlend< TGeo >::MapToNeighSide().

◆ TypeName()

template<class TGeo >

static std::string pzgeom::TPZGeoBlend< TGeo >::TypeName ( )

inlinestatic

Returns the type name of the element.

Definition at line 108 of file tpzgeoblend.h.

References cornerco, pzgeom::TPZGeoBlend< TGeo >::GradX(), pzgeom::TPZGeoBlend< TGeo >::Initialize(), pzgeom::TPZGeoBlend< TGeo >::InsertExampleElement(), pzgeom::TPZGeoBlend< TGeo >::Jacobian(), pzgeom::TPZGeoBlend< TGeo >::MapToNeighSide(), pzgeom::TPZGeoBlend< TGeo >::Print(), and pzgeom::TPZGeoBlend< TGeo >::X().

◆ Write()

template<class TGeo >

void pzgeom::TPZGeoBlend< TGeo >::Write	(	TPZStream &	buf,
		int	withclassid
	)		const

inlineoverride

Definition at line 81 of file tpzgeoblend.h.

References pzgeom::TPZGeoBlend< TGeo >::fNeighbours, pzgeom::TPZGeoBlend< TGeo >::fTrans, pzgeom::TPZGeoBlend< TGeo >::ResetBlendConnectivity(), pzgeom::TPZGeoBlend< TGeo >::SetNeighbourInfo(), TPZGeoElSideIndex::Write(), and TPZTransform< T >::Write().

◆ X()

template<class TGeo >

template<class T >

void pzgeom::TPZGeoBlend< TGeo >::X	(	TPZFMatrix< REAL > &	cornerco,
		TPZVec< T > &	par,
		TPZVec< T > &	result
	)		const

Get the coordinates of the point at geometric elements from coordinates of the parametric point at the master element.

The non-linear mapping is calculated from deviations of the linear mapping. The linear mapping of an element (or of any of its side) can be calculated with the barycentric coordinates of the nodes contained in it

Now, the deviation for any non-linearity of the sides' mappings must be taken into account.

Calculates the linear mapping of the side sideIndex, and the projected point on sideIndex

Calculates the non-linear mapping of the side sideIndex

Definition at line 486 of file tpzgeoblend.cpp.

References DebugStop, TPZGeoElSide::Dimension(), TPZGeoElSide::Exists(), TPZVec< T >::Fill(), TPZGeoEl::Id(), LOGPZ_DEBUG, MElementType_Name(), MElementType_NNodes(), TPZGeoEl::Mesh(), TPZVec< T >::NElements(), TPZVec< T >::Resize(), TPZFMatrix< TVar >::Resize(), and TPZVec< T >::size().

Referenced by pzgeom::TPZGeoBlend< TGeo >::TypeName().

Member Data Documentation

◆ fGeoEl

template<class TGeo >

TPZGeoEl* pzgeom::TPZGeoBlend< TGeo >::fGeoEl

protected

Vector of indexes of the neighbours.

Definition at line 176 of file tpzgeoblend.h.

◆ fNeighbours

template<class TGeo >

TPZGeoElSideIndex pzgeom::TPZGeoBlend< TGeo >::fNeighbours[1+TGeo::NSides - TGeo::NNodes]

protected

Definition at line 177 of file tpzgeoblend.h.

Referenced by pzgeom::TPZGeoBlend< TGeo >::Neighbour(), pzgeom::TPZGeoBlend< TGeo >::Read(), pzgeom::TPZGeoBlend< TGeo >::TPZGeoBlend(), and pzgeom::TPZGeoBlend< TGeo >::Write().

◆ fTrans

template<class TGeo >

TPZTransform pzgeom::TPZGeoBlend< TGeo >::fTrans[1+TGeo::NSides - TGeo::NNodes]

protected

Definition at line 178 of file tpzgeoblend.h.

Referenced by pzgeom::TPZGeoBlend< TGeo >::Read(), pzgeom::TPZGeoBlend< TGeo >::TPZGeoBlend(), pzgeom::TPZGeoBlend< TGeo >::TransfBetweenNeigh(), and pzgeom::TPZGeoBlend< TGeo >::Write().

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

Geom/tpzgeoblend.h
Geom/tpzgeoblend.cpp

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

template<class TGeo> class pzgeom::TPZGeoBlend< TGeo >

Member Typedef Documentation

◆ Top

Constructor & Destructor Documentation

◆ TPZGeoBlend() [1/5]

◆ TPZGeoBlend() [2/5]

◆ TPZGeoBlend() [3/5]

◆ TPZGeoBlend() [4/5]

◆ TPZGeoBlend() [5/5]

Member Function Documentation

◆ ClassId()

◆ GradX()

◆ Initialize()

◆ InsertExampleElement()

◆ IsGeoBlendEl()

◆ IsLinearMapping()

◆ Jacobian()

◆ MapToNeighSide()

◆ Neighbour()

◆ Print()

◆ Read()

◆ ResetBlendConnectivity()

◆ SetNeighbourInfo()

◆ TransfBetweenNeigh()

◆ TypeName()

◆ Write()

◆ X()

Member Data Documentation

◆ fGeoEl

◆ fNeighbours

◆ fTrans

template<class TGeo>
class pzgeom::TPZGeoBlend< TGeo >