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.
Please advise
Thanks to all
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