# [R] Need Help in Finite Element Analysis

Michael Weylandt michael.weylandt at gmail.com
Thu Aug 2 22:40:06 CEST 2012

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On Aug 2, 2012, at 3:23 PM, Abdul <abdul_fatah22 at yahoo.ca> wrote:

> Hi everybody
> I need help to solve the following problem in finite element
> A field variable f(x,y)=xᵌ y  is defined over a rectangle domain
> Ω={K: 0≤x≥4 , 0≤y≥6” Given the expression
> g=∬_(0   0)^(6   4)▒〖X^3  Y dx dy〗
> And assume the following bilinear interpolation shape functions are used to
> discretize the spatial geometric variable x and y:
> N1= ¼ (1-z)(1-e)
> N1= ¼ (1+z)(1-e)
> N1= ¼ (1+z)(1+e)
> N1= ¼ (1-z)(1+e)
>
> Where -1 ≤ z ,  e ≤ 1  for the local coordinates, z & e
>    Determine the value of g using Guass quadrature numerical integration
> method.
>    Explain any similarity or difference between your answer and the exact
> solution.
>

My apologies but there's a no homework policy on this list -- good luck!

Michael

>
> Thanks to all
>
>
>
>
>
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