Compute the single shape function associated with a point. Shape. More...

#include <pzshapepoint.h>

Inheritance diagram for pzshape::TPZShapePoint:

Collaboration diagram for pzshape::TPZShapePoint:

Classes
struct	TMem
	Temporary storage to accelerate the computation of shape functions. To point it isn't necessary. More...

Public Types
typedef pztopology::TPZPoint	Top

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

typedef TPZInt1Point	IntruleType
	Typedef to numerical integration rule. More...

Static Public Member Functions
static void	Shape (TPZVec< REAL > &pt, TPZVec< int64_t > &id, TPZVec< int > &order, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi)
	Computes the values of the shape functions and their derivatives for a quadrilateral element. More...

static void	SideShape (int side, TPZVec< REAL > &pt, TPZVec< int64_t > &id, TPZVec< int > &order, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi)

static void	ShapeOrder (TPZVec< int64_t > &id, TPZVec< int > &order, TPZGenMatrix< int > &shapeorders)
	returns the polynomial order in the natural ksi, eta of the side associated with each shapefunction More...

static int	NConnectShapeF (int side, int order)
	Number of shapefunctions of the connect associated with the side, considering the order of interpolation of the element. More...

static int	NShapeF (TPZVec< int > &order)
	Total number of shapefunctions, considering the order of interpolation of the element. More...

static void	PermuteSides (int side, TPZVec< int64_t > &id, TPZVec< int > &permutegather)
	Compute the permutation of the connects of the sides such that the order of the shape functions becomes independent of the element orientation. More...

Static Public Member Functions inherited from pztopology::TPZPoint
static void	Shape (TPZVec< REAL > &loc, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi)

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 targetdim)
	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 number of connects of the element ??? More...

static int	NumSides (int dimension)
	Returns the number of connects for a set dimension // Jorge ??? More...

static int	NContainedSides (int side)
	Returns the number of nodes (not connectivities) associated with a side // Jorge - sides or nodes??? 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=1e-6)
	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)

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 Member Functions inherited from pztopology::TPZPoint
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...

	TPZPoint ()
	Default constructor. More...

virtual	~TPZPoint ()
	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 Protected Attributes inherited from pztopology::TPZPoint
static int	fPermutations [1][1]
	Valid permutations between nodes. More...

Detailed Description

Compute the single shape function associated with a point. Shape.

Definition at line 22 of file pzshapepoint.h.

Member Typedef Documentation

◆ Top

typedef pztopology::TPZPoint pzshape::TPZShapePoint::Top

Definition at line 29 of file pzshapepoint.h.

Member Function Documentation

◆ NConnectShapeF()

static int pzshape::TPZShapePoint::NConnectShapeF	(	int	side,
		int	order
	)

inlinestatic

Number of shapefunctions of the connect associated with the side, considering the order of interpolation of the element.

Parameters

side	associated side
order	vector of integers indicating the interpolation order of the element

Returns: number of shape functions

Definition at line 68 of file pzshapepoint.h.

◆ NShapeF()

static int pzshape::TPZShapePoint::NShapeF ( TPZVec< int > & order )

inlinestatic

Total number of shapefunctions, considering the order of interpolation of the element.

Parameters

order vector of integers indicating the interpolation order of the element

Returns: number of shape functions

Definition at line 76 of file pzshapepoint.h.

◆ PermuteSides()

static void pzshape::TPZShapePoint::PermuteSides	(	int	side,
		TPZVec< int64_t > &	id,
		TPZVec< int > &	permutegather
	)

inlinestatic

Compute the permutation of the connects of the sides such that the order of the
shape functions becomes independent of the element orientation.

Definition at line 82 of file pzshapepoint.h.

References TPZVec< T >::Resize().

◆ Shape()

static void pzshape::TPZShapePoint::Shape	(	TPZVec< REAL > &	pt,
		TPZVec< int64_t > &	id,
		TPZVec< int > &	order,
		TPZFMatrix< REAL > &	phi,
		TPZFMatrix< REAL > &	dphi
	)

inlinestatic

Computes the values of the shape functions and their derivatives for a quadrilateral element.

Parameters

pt	(input) point where the shape functions are computed
id	(input) indexes of the corner points which determine the orientation of the shape functions
order	(input) order of the side connects different from the corner connects (5 connects in this case)
phi	(output) values of the shape functions
dphi	(output) values of the derivatives of the shapefunctions These values depend on the point, the order of interpolation and ids of the corner points The shapefunction computation uses the shape functions of the linear element for its implementation

Definition at line 43 of file pzshapepoint.h.

Referenced by SideShape().

◆ ShapeOrder()

static void pzshape::TPZShapePoint::ShapeOrder	(	TPZVec< int64_t > &	id,
		TPZVec< int > &	order,
		TPZGenMatrix< int > &	shapeorders
	)

inlinestatic

returns the polynomial order in the natural ksi, eta of the side associated with each shapefunction

Definition at line 55 of file pzshapepoint.h.

◆ SideShape()

static void pzshape::TPZShapePoint::SideShape	(	int	side,
		TPZVec< REAL > &	pt,
		TPZVec< int64_t > &	id,
		TPZVec< int > &	order,
		TPZFMatrix< REAL > &	phi,
		TPZFMatrix< REAL > &	dphi
	)

inlinestatic

Definition at line 48 of file pzshapepoint.h.

References Shape().

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

Shape/pzshapepoint.h

Classes

Public Types

Static Public Member Functions

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ Top

Member Function Documentation

◆ NConnectShapeF()

◆ NShapeF()

◆ PermuteSides()

◆ Shape()

◆ ShapeOrder()

◆ SideShape()