# Need Help in Finite Element Analysis

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## Need Help in Finite Element Analysis

 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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## Re: Need Help in Finite Element Analysis

 Abdul, this list is not for answering your homework questions. On Thu, Aug 2, 2012 at 4:23 PM, Abdul <[hidden email]> 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. > > Please advise > > Thanks to all > > > -- Sarah Goslee http://www.functionaldiversity.org______________________________________________ [hidden email] mailing list https://stat.ethz.ch/mailman/listinfo/r-helpPLEASE do read the posting guide http://www.R-project.org/posting-guide.htmland provide commented, minimal, self-contained, reproducible code.
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## Re: Need Help in Finite Element Analysis

 In reply to this post by Abdul On Aug 2, 2012, at 3:23 PM, Abdul <[hidden email]> 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 > Please advise > > Thanks to all > > > > > > -- > View this message in context: http://r.789695.n4.nabble.com/Need-Help-in-Finite-Element-Analysis-tp4638943.html> Sent from the R help mailing list archive at Nabble.com. > > ______________________________________________ > [hidden email] mailing list > https://stat.ethz.ch/mailman/listinfo/r-help> PLEASE do read the posting guide http://www.R-project.org/posting-guide.html> and provide commented, minimal, self-contained, reproducible code. ______________________________________________ [hidden email] mailing list https://stat.ethz.ch/mailman/listinfo/r-helpPLEASE do read the posting guide http://www.R-project.org/posting-guide.htmland provide commented, minimal, self-contained, reproducible code.