[R] Need Help in Finite Element Analysis

[Abdul]

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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