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Computes the shape function derivatives and the determinant for of 1D linear isoparametric elements. This function is used internally from shapeDerivatives.

Version : 1.0

Author : George Kourakos


web :

Date 18-Mar-2014

Department of Land Air and Water

University of California Davis



[B Jdet]=shapeDerivLine_Lin(p, MSH, n)


p: [Np x 3] Coodrinates of nodes [x1 y1 z1; x2 y2 z2;...xn yn zn], where Np is the number of nodes

MSH: [Nel x Np_el] id of elements. Each row correspond to an element. Nel is the number of elements and Np_el is the number of nodes to define the element

n: the integration point where the derivatives will be evaluated. For linear line elements this is empty because the derivative is constant.


B: Shape function derivatives

Jdet: The determinant of the Jacobian Matrix

Shape functions

N1 = 0.5 * (1 - xi)

N2 = 0.5 * (1 + xi)

Derivatives of shape functions

dN1 = -1/2;

dN2 = 1/2;

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