OGS
NumLib::ShapeTri3 Class Reference

Detailed Description

Shape function for a triangle element of three nodes in natural coordinates

3 (0,1)

  • s | \ | \ | \ ---— r 1 (0,0) 2 (1,0)

Definition at line 31 of file ShapeTri3.h.

#include <ShapeTri3.h>

Public Types

using MeshElement = MeshLib::Tri
 

Static Public Member Functions

template<class T_X , class T_N >
static void computeShapeFunction (const T_X &r, T_N &N)
 
template<class T_X , class T_N >
static void computeGradShapeFunction (const T_X &r, T_N &dN)
 

Static Public Attributes

static const unsigned DIM = MeshElement::dimension
 
static const unsigned NPOINTS = MeshElement::n_all_nodes
 
static constexpr int ORDER = 1
 

Member Typedef Documentation

◆ MeshElement

Definition at line 53 of file ShapeTri3.h.

Member Function Documentation

◆ computeGradShapeFunction()

template<class T_X , class T_N >
void NumLib::ShapeTri3::computeGradShapeFunction ( const T_X & r,
T_N & dN )
static

Evaluate derivatives of the shape function at the given point The point coordinates in r are not used.

Parameters
[in]rpoint coordinates
[out]dNa matrix of the derivatives

Definition at line 25 of file ShapeTri3-impl.h.

26{
27 // dN/dr
28 dN[0] = -1.0;
29 dN[1] = 1.0;
30 dN[2] = 0.0;
31 // dN/ds
32 dN[3] = -1.0;
33 dN[4] = 0.0;
34 dN[5] = 1.0;
35}

◆ computeShapeFunction()

template<class T_X , class T_N >
void NumLib::ShapeTri3::computeShapeFunction ( const T_X & r,
T_N & N )
static

Evaluate the shape function at the given point

Parameters
[in]rpoint coordinates
[out]Na vector of calculated shape function.

Definition at line 17 of file ShapeTri3-impl.h.

18{
19 N[0] = 1. - r[0] - r[1];
20 N[1] = r[0];
21 N[2] = r[1];
22}

References NumLib::N.

Member Data Documentation

◆ DIM

const unsigned NumLib::ShapeTri3::DIM = MeshElement::dimension
static

Definition at line 54 of file ShapeTri3.h.

◆ NPOINTS

const unsigned NumLib::ShapeTri3::NPOINTS = MeshElement::n_all_nodes
static

Definition at line 55 of file ShapeTri3.h.

◆ ORDER

constexpr int NumLib::ShapeTri3::ORDER = 1
staticconstexpr

Definition at line 56 of file ShapeTri3.h.


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