basso::Tria3Basis Class Reference

3 node triangular basis More...

#include <Tria3Basis.h>

Inheritance diagram for basso::Tria3Basis:

basso::Basis List of all members.

Public Member Functions

 Tria3Basis ()
virtual ~Tria3Basis ()
virtual BasisType Type () const
virtual BasisShape Shape () const
virtual int NumNodes () const
virtual int NumEdges () const
virtual int NumFaces () const
virtual int Dimension () const
virtual int Order () const
virtual void ParentCoord (Array< Point > &xi) const
virtual Point Centroid () const
virtual void NumNodesOnFaces (iArray &nn_face) const
virtual void NumNodesOnEdges (iArray &nn_edge) const
virtual void NodesOnFace (int f, iArray &face_nodeids) const
virtual void NodesOnEdge (int e, iArray &edge_nodeids) const
virtual void FaceBasisType (Array< BasisType > &face_basis) const
virtual void EdgeBasisType (Array< BasisType > &edge_basis) const
virtual void Quadrature (int order, QuadratureRule &qrule) const
virtual void Na (const Point &p, nArray &shapefunct) const
virtual void DNa (const Point &p, nMatrix &grad_shape) const
virtual void Na (nArray &shapefunct) const
virtual void DNa (nMatrix &grad_shape) const

Detailed Description

3 node triangular basis

Class to represent a connonical three node triangular parent element

Parent coordinate space and geometric nomenclature for Tria3Basis

tria3.pdf

Definition at line 29 of file Tria3Basis.h.


Member Function Documentation

virtual BasisType basso::Tria3Basis::Type (  )  const [inline, virtual]

Returns the basis type

Implements basso::Basis.

Definition at line 40 of file Tria3Basis.h.

References basso::kTRIA3.

virtual BasisShape basso::Tria3Basis::Shape (  )  const [inline, virtual]

Returns the element shape

Implements basso::Basis.

Definition at line 41 of file Tria3Basis.h.

References basso::kTRIANGLE.

virtual int basso::Tria3Basis::NumNodes (  )  const [inline, virtual]

Returns the number of nodes in the element

Implements basso::Basis.

Definition at line 42 of file Tria3Basis.h.

Referenced by ParentCoord().

virtual int basso::Tria3Basis::NumEdges (  )  const [inline, virtual]

Returns the number of edges in the element

Implements basso::Basis.

Definition at line 43 of file Tria3Basis.h.

Referenced by EdgeBasisType(), NumNodesOnEdges(), and NumNodesOnFaces().

virtual int basso::Tria3Basis::NumFaces (  )  const [inline, virtual]

Returns the number of faces in the element

Implements basso::Basis.

Definition at line 44 of file Tria3Basis.h.

Referenced by FaceBasisType().

virtual int basso::Tria3Basis::Dimension (  )  const [inline, virtual]

Returns the dimension of the parent element space

Implements basso::Basis.

Definition at line 45 of file Tria3Basis.h.

virtual int basso::Tria3Basis::Order (  )  const [inline, virtual]

Returns the polynomial order of the basis

Implements basso::Basis.

Definition at line 46 of file Tria3Basis.h.

void basso::Tria3Basis::ParentCoord ( Array< Point > &  pts  )  const [virtual]

Returns the parent element coordinates

Implements basso::Basis.

Definition at line 68 of file Tria3Basis.h.

References NumNodes().

virtual Point basso::Tria3Basis::Centroid (  )  const [inline, virtual]

Returns the point in parent element coordinates of the element centroid

Implements basso::Basis.

Definition at line 49 of file Tria3Basis.h.

Referenced by DNa(), and Na().

void basso::Tria3Basis::NumNodesOnFaces ( iArray &  nn_face  )  const [virtual]

Returns the number of nodes on the element faces given in canonical order

Implements basso::Basis.

Definition at line 79 of file Tria3Basis.h.

References NumEdges().

void basso::Tria3Basis::NumNodesOnEdges ( iArray &  nn_edege  )  const [virtual]

Returns the number of nodes on the element edges given in canonical order

Implements basso::Basis.

Definition at line 87 of file Tria3Basis.h.

References NumEdges().

void basso::Tria3Basis::NodesOnFace ( int  f,
iArray &  face_nodeids 
) const [virtual]

Returns the local node numbers of the nodes on face f

Parameters:
f The face id

Implements basso::Basis.

Definition at line 97 of file Tria3Basis.h.

void basso::Tria3Basis::NodesOnEdge ( int  e,
iArray &  edge_nodeids 
) const [virtual]

Returns the local node ids of the nodes on the edge e given in cononical order

Implements basso::Basis.

Definition at line 105 of file Tria3Basis.h.

void basso::Tria3Basis::FaceBasisType ( Array< BasisType > &  face_basis  )  const [virtual]

return geometry of each face in canonical order

Implements basso::Basis.

Definition at line 133 of file Tria3Basis.h.

References NumFaces().

void basso::Tria3Basis::EdgeBasisType ( Array< BasisType > &  edge_basis  )  const [virtual]

return geometry of each edge in canonical order

Implements basso::Basis.

Definition at line 141 of file Tria3Basis.h.

References basso::kLINE2, and NumEdges().

void basso::Tria3Basis::Quadrature ( int  p,
QuadratureRule &  quad 
) const [virtual]

Compute the quadrature rule to integrate on the Basis ooa polynomial function of order p

Implements basso::Basis.

Definition at line 151 of file Tria3Basis.h.

References basso::quadrature_tria().


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