NumLib::ShapeLine2 Class Reference

Detailed Description

Shape function for a line element of two nodes in natural coordinates

*  2 (-1,0)     1 (1,0)
*     *--------*
* 

Definition at line 26 of file ShapeLine2.h.

#include <ShapeLine2.h>

Public Types
using	MeshElement = MeshLib::Line

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 constexpr std::array	reference_element_centre = {0.0}
static const unsigned	DIM = MeshElement::dimension
static const unsigned	NPOINTS = MeshElement::n_all_nodes
static constexpr int	ORDER = 1

Member Typedef Documentation

MeshElement

using NumLib::ShapeLine2::MeshElement = MeshLib::Line

Definition at line 49 of file ShapeLine2.h.

Member Function Documentation

computeGradShapeFunction()

template<class T_X, class T_N>

void NumLib::ShapeLine2::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 21 of file ShapeLine2-impl.h.

{
    dN[0] = -0.5;
    dN[1] = 0.5;
}

computeShapeFunction()

template<class T_X, class T_N>

void NumLib::ShapeLine2::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 ShapeLine2-impl.h.

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

References NumLib::N.

Member Data Documentation

DIM

const unsigned NumLib::ShapeLine2::DIM = MeshElement::dimension

static

Definition at line 50 of file ShapeLine2.h.

NPOINTS

const unsigned NumLib::ShapeLine2::NPOINTS = MeshElement::n_all_nodes

static

Definition at line 51 of file ShapeLine2.h.

ORDER

int NumLib::ShapeLine2::ORDER = 1

staticconstexpr

Definition at line 52 of file ShapeLine2.h.

reference_element_centre

std::array NumLib::ShapeLine2::reference_element_centre = {0.0}

staticconstexpr

Definition at line 47 of file ShapeLine2.h.

{0.0};

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

• NumLib/Fem/ShapeFunction/ShapeLine2.h
• NumLib/Fem/ShapeFunction/ShapeLine2-impl.h
• NumLib/Fem/ShapeFunction/ShapeStaticConsts.cpp