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

[Sarah Goslee]

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

______________________________________________
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and provide commented, minimal, self-contained, reproducible code.

[Michael Weylandt]

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-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.

[Bert Gunter]

On Thu, Aug 2, 2012 at 1:23 PM, Abdul <[hidden email]> wrote:
> Hi everybody
> I need help to solve the following problem in finite element

We don't do homework on this list. Especially homework that has
essentially nothing to do with R.

-- Bert

> 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
>
>
>
>
>
> --
> 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.

--

Bert Gunter
Genentech Nonclinical Biostatistics

Internal Contact Info:
Phone: [phone]
Website:
http://pharmadevelopment.roche.com/index/pdb/pdb-functional-groups/pdb-biostatistics/pdb-ncb-home.htm

______________________________________________
[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.