NumLib::ShapeLine3 Class Reference

Detailed Description

Shape function for a 3-nodes line element

Definition at line 20 of file ShapeLine3.h.

#include <ShapeLine3.h>

Public Types
using	MeshElement = MeshLib::Line3

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 = 2

Member Typedef Documentation

MeshElement

using NumLib::ShapeLine3::MeshElement = MeshLib::Line3

Definition at line 41 of file ShapeLine3.h.

Member Function Documentation

computeGradShapeFunction()

template<class T_X , class T_N >

void NumLib::ShapeLine3::computeGradShapeFunction ( const T_X & r, T_N & dN )

static

Evaluate derivatives of the shape function at the given point

Parameters

[in]	r	point coordinates
[out]	dN	a matrix of the derivatives

Definition at line 22 of file ShapeLine3-impl.h.

{
    dN[0] = r[0] - 0.5;
    dN[1] = r[0] + 0.5;
    dN[2] = -2.0 * r[0];
}

computeShapeFunction()

template<class T_X , class T_N >

void NumLib::ShapeLine3::computeShapeFunction ( const T_X & r, T_N & N )

static

Evaluate the shape function at the given point

Parameters

[in]	r	point coordinates
[out]	N	a vector of calculated shape function.

Definition at line 14 of file ShapeLine3-impl.h.

{
    N[0] = 0.5 * r[0] * (r[0] - 1.0);
    N[1] = 0.5 * r[0] * (r[0] + 1.0);
    N[2] = 1.0 - r[0] * r[0];
}

References NumLib::N.

Member Data Documentation

DIM

const unsigned NumLib::ShapeLine3::DIM = MeshElement::dimension

static

Definition at line 42 of file ShapeLine3.h.

NPOINTS

const unsigned NumLib::ShapeLine3::NPOINTS = MeshElement::n_all_nodes

static

Definition at line 43 of file ShapeLine3.h.

ORDER

int NumLib::ShapeLine3::ORDER = 2

staticconstexpr

Definition at line 44 of file ShapeLine3.h.

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

• NumLib/Fem/ShapeFunction/ShapeLine3.h
• NumLib/Fem/ShapeFunction/ShapeLine3-impl.h
• NumLib/Fem/ShapeFunction/ShapeStaticConsts.cpp