Inheritance diagram for Triangle3D3:

Public Member Functions
	Triangle3D3 (const Triangle3D3 &el)

void	Initialise (const NodeList &nlist)
	Initialises the triangle. More...

BYTE	Type () const
	Returns an element type identifier. More...

int	Dimension () const
	Returns the spatial dimension of the element. More...

Point	Local (const NodeList &nlist, const Point &glob) const
	Maps a point from global to local element coordinates. More...

Point	SurfToLocal (int side, const Point &p) const
	Maps a point from surface coordinates to local element coordinates. More...

RVector	DirectionCosine (int side, RDenseMatrix &jacin)
	Returns the direction cosines of a side normal. More...

bool	GContains (const Point &glob, const NodeList &nlist) const
	Checks if a global point coordinate is inside the element. More...

RVector	GlobalShapeF (const NodeList &nlist, const Point &glob) const
	Returns the values of the shape functions at a global point. More...

RDenseMatrix	GlobalShapeD (const NodeList &nlist, const Point &glob) const
	Returns the values of the shape function derivatives at a global point. More...

int	GlobalIntersection (const NodeList &nlist, const Point &p1, const Point &p2, Point **list)

RVector	LocalShapeQF (const Point &loc) const

RDenseMatrix	LocalShapeQD (const Point &loc) const

double	IntUnitSphereP (const NodeList &nlist, const RVector &P) const

double	IntUnitSpherePFF (const NodeList &nlist, const int i, const int j, const RVector &P) const

double	IntUnitSphereFF (const NodeList &nlist, const int i, const int j) const

RDenseMatrix	LocaltoGlobalMat () const

RDenseMatrix	GlobaltoLocalMat () const

RDenseMatrix	FTAMat () const

Public Member Functions inherited from Triangle3
	Triangle3 ()
	Creates a new triangle, but does not assign any node indices.

	Triangle3 (const Triangle3 &el)
	Creates a new triangle as a copy of an existing one. More...

	~Triangle3 ()
	Destroys the triangle.

Element *	Copy ()
	Create a copy of the element and return a pointer to it.

BYTE	VtkType () const
	Returns the VTK element type identifier, or 0 if the element doesn't have a VTK representation.

unsigned long	GetCaps () const
	Returns element capability flags. More...

int	nNode () const
	Returns the number of nodes associated with the element. More...

int	nSide () const
	Returns the number of element sides. More...

int	nSideNode (int) const
	Returns the number of vertices associated with a side. More...

int	SideNode (int side, int node) const
	Returns relative node index for a side vertex. More...

double	SideSize (int sd, const NodeList &nlist) const
	Returns the size of an element side. More...

double	DetJ (const Point &loc, const NodeList *nlist=0) const
	Returns determinant of Jacobian. More...

Point	NodeLocal (int node) const
	Returns the local coordinates of an element node. More...

const RVector &	LNormal (int side) const
	Returns a side normal in local coordinates. More...

bool	LContains (const Point &loc, bool pad=true) const
	Checks if a local point coordinate is inside the element. More...

RVector	LocalShapeF (const Point &loc) const
	Returns the values of the shape functions at a local point. More...

RDenseMatrix	LocalShapeD (const Point &loc) const
	Returns the values of the shape function derivatives at a local point. More...

double	IntF (int i) const
	Integral of a shape function over the element. More...

RSymMatrix	IntFF () const
	Integrals of all products of two shape functions over the element. More...

int	QuadRule (int order, const double wght, const Point absc) const
	Returns the weights and abscissae of quadrature rules over the element. More...

double	IntFF (int i, int j) const
	Integral of a product of two shape functions over the element. More...

double	IntFFF (int i, int j, int k) const
	Integral of a product of three shape functions over the element. More...

RSymMatrix	IntPFF (const RVector &P) const
	Integrals of all products of two shape functions and a nodal function over the element. More...

double	IntPFF (int i, int j, const RVector &P) const
	Integral of a product of two shape functions and a nodal function over the element. More...

RVector	IntFD (int i, int j) const
	Integral of a product of a shape function and a shape function derivative over the element. More...

double	IntFDD (int i, int j, int k) const
	Integral of a product of a shape function and two shape function derivatives over the element. More...

RSymMatrix	IntPDD (const RVector &P) const
	All integrals of products of a nodal function and two shape function derivatives over the element. More...

double	IntPDD (int i, int j, const RVector &P) const
	Integrals of a product of a nodal function and two shape function derivatives over the element. More...

RSymMatrix	BndIntPFF (const RVector &P) const
	Surface integrals of all products of a nodal function and two shape functions over all boundary sides of the element. More...

double	BndIntPFF (int i, int j, const RVector &P) const
	Surface integrals of a product of a nodal function and two shape functions over all boundary sides of the element. More...

double	IntFd (int i, int j, int k) const
	Integral of the product of a shape function and a partial shape function derivative over the element. More...

double	IntPd (const RVector &P, int j, int k) const
	Integral of the product of a nodal function and a partial shape function derivative over the element. More...

double	IntFdd (int i, int j, int k, int l, int m) const
	Integral of the product of a shape function and two partial shape function derivatives over the element. More...

double	IntPdd (const RVector &p, int j, int k, int l, int m) const

RSymMatrix	Intdd () const
	Integral of the product of two partial shape function derivatives over the element. More...

double	BndIntFSide (int i, int sd)
	Surface integral of a shape function over one of the sides of the element. More...

double	BndIntFFSide (int i, int j, int sd)
	Surface integral of a product of two shape functions over one of the sides of the element. More...

RVector	BndIntFX (int side, double(*func)(const Point &), const NodeList &nlist) const

RVector	BndIntFCos (int side, const Surface *surf, const RVector &cntcos, double sigma, double sup, const NodeList &nlist) const

RVector	BndIntFCos (int side, const RVector &cntcos, double a, const NodeList &nlist) const

RVector	BndIntFDelta (int side, const Surface *surf, const RVector &pos, const NodeList &nlist) const

int	GetLocalSubsampleAbsc (const Point *&absc) const

int	GetBndSubsampleAbsc (int side, const Point *&absc) const

int	Intersection (const Point &p1, const Point &p2, Point **pi)

void	SplitSide (Mesh mesh, int side, int newnode, Element nbr1, Element nbr2, Element el1, Element *el2)

void	Bisect (Mesh mesh, int side, int newnode, Element nbr1, Element nbr2, Element el1, Element *el2)

void	MergeAndResplit (Mesh mesh, int side, int newnode, Element nbr1, Element nbr2, Element el1, Element *el2)

Public Member Functions inherited from Element_Unstructured_2D
	Element_Unstructured_2D (const Element_Unstructured_2D &el)

Public Member Functions inherited from Element_Unstructured
	Element_Unstructured (const Element_Unstructured &el)

virtual void	PostInitialisation (const NodeList &nlist)
	Element setup after mesh initialisation. More...

double	Size () const
	Returns the element size. More...

void	operator= (const Element_Unstructured &el)

RSymMatrix	IntDD () const
	Integrals of all products of two shape function derivatives over the element. More...

double	IntDD (int i, int j) const
	Integral of a product of two shape function derivatives over the element. More...

RSymMatrix	BndIntFF () const
	Boundary integral of all products of two shape functions over all boundary sides of the element. More...

double	BndIntFF (int i, int j)
	Boundary integral of a product of two shape functions over all boundary sides of the element. More...

Public Member Functions inherited from Element
	Element ()
	Creates a new element with no nodes.

	Element (const Element &el)
	Creates a new element as a copy of 'el'.

virtual	~Element ()
	Destroys the element.

void	operator= (const Element &el)
	Element assignment. More...

virtual bool	IsNode (int node)
	Checks if a node is part of the element. More...

int	IsSide (int nn, int *nd)
	Checks if a face defined by vertex nodes is part of the element. More...

virtual bool	IsSideNode (int side, int node)
	Checks if a node is associated with a specific side. More...

bool	IsBoundarySide (int side)
	Checks if a side is on the mesh surface. More...

bool	HasBoundarySide ()
	Checks if the element contains any surface sides. More...

bool	HasInterfaceSide ()
	Checks if the element contains any internal interface sides. More...

virtual void	MapToSide (int side, Point &loc) const
	Translates a point to an element surface. More...

virtual Point	SideCentre (int side) const
	Returns the centre point of a side. More...

Element *	SideNeighbour (int side) const
	returns a pointer to the element connected at 'side', or NULL if this is a boundary side. More...

int	SideNeighbourIndex (int side) const
	Returns the list index of the element connected at 'side', or -1 if this is a boundary side. More...

Point	Global (const NodeList &nlist, const Point &loc) const
	Maps a point from local element coordinates to global coordinates. More...

virtual RDenseMatrix	Elgeom (const NodeList &nlist) const
	Returns the element's global node coordinates. More...

virtual int	BndSideList (const NodeList &nlist, int *list)
	Returns a list of boundary sides. More...

void	InitNeighbourSupport ()

void	InitSubdivisionSupport ()

int	SubdivisionLevel () const
	Returns the element's subdivison level. More...

virtual void	Subdivide (Mesh *mesh)

virtual RVector	BndIntF () const
	Boundary integral of all shape functions over all boundary sides of the element. More...

virtual double	Intd (int i, int k) const
	Integral of partial shape function derivative over the element. More...

virtual double	IntFfd (int i, int j, int k, int l) const

virtual double	IntPfd (const RVector &p, int j, int k, int l) const

int	GetSubsampleFD (int &n, double &wght, Point &absc, RVector &F, RDenseMatrix &D, const NodeList &nlist) const

int	GetBndSubsampleFD (int side, int &n, double &wght, Point &absc, RVector &F, RDenseMatrix &D, const NodeList &nlist) const

virtual RDenseMatrix	StrainDisplacementMatrix (const Point &glob) const

virtual RDenseMatrix	ElasticityStiffnessMatrix (const RDenseMatrix &D) const

virtual RDenseMatrix	ElasticityStiffnessMatrix (double E, double nu) const

RDenseMatrix	ElasticStrainDisplacement (const RVector &loc, const RDenseMatrix &gder) const

virtual RDenseMatrix	IsotropicElasticityMatrix (double E, double nu) const

virtual RVector	InitialStrainVector (double E, double nu, const RVector &e0)

virtual RVector	ThermalExpansionVector (double E, double nu, double alpha, double dT)

virtual RVector	DThermalExpansionVector (double E, double nu)

int	Region () const

void	SetRegion (int nr)

Additional Inherited Members
Public Attributes inherited from Element
int *	Node

ElementSubdivisionData *	subdivdata

Element **	sdnbhr

int *	sdnbhridx

Protected Member Functions inherited from Triangle3
double	ComputeSize (const NodeList &nlist) const

RSymMatrix	ComputeIntDD (const NodeList &nlist) const

void	ComputeIntFD (const NodeList &nlist)

RSymMatrix	ComputeBndIntFF (const NodeList &nlist) const

Protected Attributes inherited from Triangle3
double *	intfd_0

double *	intfd_1

double	a0

double	b0

double	c0

double	a1

double	b1

double	c1

double	a2

double	b2

double	c2

Protected Attributes inherited from Element_Unstructured
double	size

RSymMatrix	intdd

RSymMatrix	intbff

Point	bbmin

Point	bbmax

Protected Attributes inherited from Element
bool *	bndside

bool	bndel

bool	interfaceel

int	region

Member Function Documentation

int Triangle3D3::Dimension ( ) const

inlinevirtual

Returns the spatial dimension of the element.

Returns: 2 for 2-D elements (triangles, pixels etc.), 3 for 3-D elements (tetrahedra, voxels, etc.)

Reimplemented from Element_Unstructured_2D.

RVector Triangle3D3::DirectionCosine	(	int	side,
		RDenseMatrix &	jacin
	)

virtual

Returns the direction cosines of a side normal.

Parameters

side	side index (>= 0)
jacin	inverse of Jacobian

Returns: direction cosines of the normal to side in global coordinates.

See Also: LNormal

Reimplemented from Triangle3.

bool Triangle3D3::GContains	(	const Point &	glob,
		const NodeList &	nlist
	)		const

virtual

Checks if a global point coordinate is inside the element.

Parameters

glob	point in global coordinates
nlist	mesh node list

Returns: true if the point is inside the element, false otherwise.

See Also: LContains

Reimplemented from Triangle3.

RDenseMatrix Triangle3D3::GlobalShapeD	(	const NodeList &	nlist,
		const Point &	glob
	)		const

virtual

Returns the values of the shape function derivatives at a global point.

Parameters

glob	global point coordinates

Returns: Matrix (size nNode x Dimension) of shape function derivatives at the point for all shape functions associated with the element.

See Also: LocalShapeF, GlobalShapeF, GlobalShapeD

Reimplemented from Triangle3.

RVector Triangle3D3::GlobalShapeF	(	const NodeList &	nlist,
		const Point &	glob
	)		const

virtual

Returns the values of the shape functions at a global point.

Parameters

nlist	mesh node list
glob	point coordinates in the local element system

Returns: Vector (size nNode) of shape function values at the point for all shape functions associated with the element.

See Also: LocalShapeF, LocalShapeD, GlobalShapeD

Reimplemented from Triangle3.

void Triangle3D3::Initialise ( const NodeList & nlist )

virtual

Initialises the triangle.

Parameters

nlist mesh node list

Note: This method should be called one the mesh node indices have been assigned, to allow setting up element parameters.; Calculates Natural coordinates, and subsampling abscissae. Precalculates some integrals.

Reimplemented from Triangle3.

Point Triangle3D3::Local	(	const NodeList &	nlist,
		const Point &	glob
	)		const

virtual

Maps a point from global to local element coordinates.

Parameters

nlist	mesh node list
glob	global point coordinates

Returns: Point coordinates in the element's local reference system.

Note: Point glob should have dimension Dimension(); glob does not have to be located inside the element.

See Also: NodeLocal, Global

Reimplemented from Triangle3.

Point Triangle3D3::SurfToLocal	(	int	side,
		const Point &	p
	)		const

virtual

Maps a point from surface coordinates to local element coordinates.

Parameters

side	side index (>= 0)
p	surface point coordinates.

Returns: Point coordinates in the element's local reference system.

Note: Surface point p should have dimension Dimension()-1

See Also: Local, NodeLocal

Reimplemented from Triangle3.

BYTE Triangle3D3::Type ( ) const

inlinevirtual

Returns an element type identifier.

Returns: Element type identifier (see Element type identifiers).

Reimplemented from Triangle3.

References ELID_TRI3D3.

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

/home/ucacmas/src/toast/toast_sf/toastpp-code/toast/trunk/src/libfe/tri3D3.h

Public Member Functions

Additional Inherited Members

Member Function Documentation