[R] Need Help in Finite Element Analysis

2012-08-02 Thread 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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Re: [R] Need Help in Finite Element Analysis

2012-08-02 Thread Sarah Goslee 
Abdul, this list is not for answering your homework questions.

On Thu, Aug 2, 2012 at 4:23 PM, Abdul abdul_fata...@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.

 Please advise

 Thanks to all




-- 
Sarah Goslee
http://www.functionaldiversity.org

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

Re: [R] Need Help in Finite Element Analysis

2012-08-02 Thread Michael Weylandt 


On Aug 2, 2012, at 3:23 PM, Abdul abdul_fata...@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


 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.
 
 __
 R-help@r-project.org 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.

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

Re: [R] Need Help in Finite Element Analysis

2012-08-02 Thread Bert Gunter 
On Thu, Aug 2, 2012 at 1:23 PM, Abdul abdul_fata...@yahoo.ca 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.

 __
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 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: 467-7374
Website:
http://pharmadevelopment.roche.com/index/pdb/pdb-functional-groups/pdb-biostatistics/pdb-ncb-home.htm

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