Toast++  1.0.2 (r.539)
Forward and inverse modelling in optical tomography
Public Member Functions | Protected Member Functions | Protected Attributes | List of all members
Wedge18inf Class Reference
Inheritance diagram for Wedge18inf:
Element_Unstructured_3D Element_Unstructured Element

Public Member Functions

 Wedge18inf (const Wedge18inf &el)
 
void Initialise (const NodeList &nlist)
 Element initialisation. More...
 
BYTE Type () const
 Returns an element type identifier. More...
 
int nNode () const
 Returns the number of nodes associated with the element. More...
 
RSymMatrix IntFF () const
 Integrals of all products of two shape functions over the element. More...
 
std::istream & operator>> (std::istream &i)
 
std::ostream & operator<< (std::ostream &o) const
 
- Public Member Functions inherited from Element_Unstructured_3D
 Element_Unstructured_3D (const Element_Unstructured_3D &el)
 
virtual int Dimension (void) const
 Returns the spatial dimension of the element. More...
 
RDenseMatrix IsotropicElasticityMatrix (double E, double nu) const
 
- 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)
 
virtual bool GContains (const Point &glob, const NodeList &nlist) const
 Checks if a global point coordinate is inside the element. More...
 
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.
 
virtual ElementCopy ()=0
 Create a copy of the element and return a pointer to it.
 
void operator= (const Element &el)
 Element assignment. More...
 
virtual BYTE VtkType () const
 Returns the VTK element type identifier, or 0 if the element doesn't have a VTK representation.
 
virtual unsigned long GetCaps () const =0
 Returns element capability flags. More...
 
virtual int nSide () const =0
 Returns the number of element sides. More...
 
virtual int nSideNode (int side) const =0
 Returns the number of vertices associated with a side. More...
 
virtual int SideNode (int side, int node) const =0
 Returns relative node index for a side vertex. 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 Point Local (const NodeList &nlist, const Point &glob) const =0
 Maps a point from global to local element coordinates. More...
 
virtual Point NodeLocal (int node) const =0
 Returns the local coordinates of an element node. More...
 
virtual Point SurfToLocal (int side, const Point &p) const
 Maps a point from surface coordinates to local element coordinates. 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...
 
ElementSideNeighbour (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 RVector DirectionCosine (int side, RDenseMatrix &jacin)=0
 Returns the direction cosines of a side normal. More...
 
virtual const RVectorLNormal (int side) const =0
 Returns a side normal in local coordinates. More...
 
virtual double SideSize (int side, const NodeList &nlist) const
 Returns the size of an element side. More...
 
virtual double DetJ (const Point &loc, const NodeList *nlist=0) const
 Returns determinant of Jacobian at a given point inside the element in the local frame. More...
 
virtual bool LContains (const Point &loc, bool pad=true) const =0
 Checks if a local point coordinate is inside the element. 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 LocalShapeF (const Point &loc) const =0
 Returns the values of the shape functions at a local point. More...
 
virtual RDenseMatrix LocalShapeD (const Point &loc) const =0
 Returns the values of the shape function derivatives at a local point. More...
 
virtual RVector GlobalShapeF (const NodeList &nlist, const Point &glob) const
 Returns the values of the shape functions at a global point. More...
 
virtual RDenseMatrix GlobalShapeD (const NodeList &nlist, const Point &glob) const
 Returns the values of the shape function derivatives at a global point. More...
 
virtual int QuadRule (int order, const double **wght, const Point **absc) const
 Returns the weights and abscissae of quadrature rules over the element. More...
 
virtual double IntF (int i) const =0
 Integral of a shape function over the element. More...
 
virtual double IntFF (int i, int j) const =0
 Integral of a product of two shape functions over the element. More...
 
virtual double IntFFF (int i, int j, int k) const =0
 Integral of a product of three shape functions over the element. More...
 
virtual RSymMatrix IntPFF (const RVector &P) const =0
 Integrals of all products of two shape functions and a nodal function over the element. More...
 
virtual double IntPFF (int i, int j, const RVector &P) const =0
 Integral of a product of two shape functions and a nodal function over the element. More...
 
virtual RVector IntFD (int i, int j) const
 Integral of a product of a shape function and a shape function derivative over the element. More...
 
virtual double IntFDD (int i, int j, int k) const =0
 Integral of a product of a shape function and two shape function derivatives over the element. More...
 
virtual RSymMatrix IntPDD (const RVector &P) const =0
 All integrals of products of a nodal function and two shape function derivatives over the element. More...
 
virtual double IntPDD (int i, int j, const RVector &P) const =0
 Integrals of a product of a nodal function and two shape function derivatives over the element. More...
 
virtual RVector BndIntF () const
 Boundary integral of all shape functions over all boundary sides of the element. More...
 
virtual double BndIntFSide (int i, int sd)
 Surface integral of a shape function over one of the sides of the element. More...
 
virtual double BndIntFFSide (int i, int j, int sd)=0
 Surface integral of a product of two shape functions over one of the sides of the element. More...
 
virtual RSymMatrix BndIntPFF (const RVector &P) const =0
 Surface integrals of all products of a nodal function and two shape functions over all boundary sides of the element. More...
 
virtual double BndIntPFF (int i, int j, const RVector &P) const =0
 Surface integrals of a product of a nodal function and two 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 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...
 
virtual 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...
 
virtual RSymMatrix Intdd () const
 Integral of the product of two partial shape function derivatives over the element. More...
 
virtual 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...
 
virtual double IntPdd (const RVector &p, int j, int k, int l, int m) const
 
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
 
virtual double IntUnitSphereP (const NodeList &nlist, const RVector &P) const
 
virtual double IntUnitSphereFF (const NodeList &nlist, const int i, const int j) const
 
virtual double IntUnitSpherePFF (const NodeList &nlist, const int i, const int j, const RVector &P) const
 
virtual RVector BndIntFX (int side, double(*func)(const Point &), const NodeList &nlist) const
 
virtual RVector BndIntFCos (int side, const Surface *surf, const RVector &cntcos, double sigma, double sup, const NodeList &nlist) const
 
virtual RVector BndIntFCos (int side, const RVector &cntcos, double a, const NodeList &nlist) const
 
virtual RVector BndIntFDelta (int side, const Surface *surf, const RVector &pos, const NodeList &nlist) 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 int GetLocalSubsampleAbsc (const Point *&absc) const
 
virtual int GetBndSubsampleAbsc (int side, const Point *&absc) 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 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)
 
virtual int GlobalIntersection (const NodeList &nlist, const Point &p1, const Point &p2, Point **list)=0
 
virtual int Intersection (const Point &, const Point &, Point **)=0
 
virtual RDenseMatrix LocaltoGlobalMat () const
 
virtual RDenseMatrix GlobaltoLocalMat () const
 
virtual RDenseMatrix FTAMat () const
 
int Region () const
 
void SetRegion (int nr)
 
virtual void SplitSide (Mesh *mesh, int side, int newnode, Element *nbr1, Element *nbr2, Element *el1, Element *el2)
 
virtual void Bisect (Mesh *mesh, int side, int newnode, Element *nbr1, Element *nbr2, Element *el1, Element *el2)
 
virtual void MergeAndResplit (Mesh *mesh, int side, int newnode, Element *nbr1, Element *nbr2, Element *el1, Element *el2)
 

Protected Member Functions

RDenseMatrix LocalShapeD_Z (double loc) const
 
double JacobianZ (double loc, RDenseMatrix &J) const
 
- Protected Member Functions inherited from Element_Unstructured
virtual double ComputeSize (const NodeList &) const =0
 
virtual RSymMatrix ComputeIntDD (const NodeList &nlist) const =0
 
virtual RSymMatrix ComputeBndIntFF (const NodeList &nlist) const =0
 

Protected Attributes

double z0
 
double z1
 
- 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
 

Additional Inherited Members

- Public Attributes inherited from Element
int * Node
 
ElementSubdivisionDatasubdivdata
 
Element ** sdnbhr
 
int * sdnbhridx
 

Member Function Documentation

void Wedge18inf::Initialise ( const NodeList nlist)
virtual

Element initialisation.

Calculation of geometric element parameters, including element size and pre-calculation of geometry dependent element matrices.

Parameters
nlistNode list, containing node geometry
Note
Should be called after the node list has been generated, and whenever the node list changes.

Reimplemented from Element_Unstructured.

RSymMatrix Wedge18inf::IntFF ( ) const
virtual

Integrals of all products of two shape functions over the element.

Returns
Matrix of size nNode x nNode, containing the integrals

\[ \int_\Omega u_i(\vec{r}) u_j(\vec{r}) d\vec{r} \]

See Also
IntFF(int,int)const, IntF, IntFFF, IntDD, IntFD

Implements Element.

int Wedge18inf::nNode ( ) const
inlinevirtual

Returns the number of nodes associated with the element.

Returns
Number of nodes

Implements Element.

BYTE Wedge18inf::Type ( ) const
inlinevirtual

Returns an element type identifier.

Returns
Element type identifier (see Element type identifiers).

Implements Element.

References ELID_WDG18INF.


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