Hi everybody
I need help to solve the following problem in finite element
A field variable f(x,y)=x? y is defined over a rectangle domain
?={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= ? (1-z)(1-e)
N1= ? (1+z)(1-e)
N1= ? (1+z)(1+e)
N1= ? (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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Abdul, this list is not for answering your homework questions. On Thu, Aug 2, 2012 at 4:23 PM, Abdul <abdul_fatah22 at yahoo.ca> wrote:> Hi everybody > I need help to solve the following problem in finite element > A field variable f(x,y)=x? y is defined over a rectangle domain > ?={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= ? (1-z)(1-e) > N1= ? (1+z)(1-e) > N1= ? (1+z)(1+e) > N1= ? (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
On Aug 2, 2012, at 3:23 PM, Abdul <abdul_fatah22 at yahoo.ca> wrote:> Hi everybody > I need help to solve the following problem in finite element > A field variable f(x,y)=x? y is defined over a rectangle domain > ?={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= ? (1-z)(1-e) > N1= ? (1+z)(1-e) > N1= ? (1+z)(1+e) > N1= ? (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 at 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.
On Thu, Aug 2, 2012 at 1:23 PM, Abdul <abdul_fatah22 at yahoo.ca> wrote:> Hi everybody > I need help to solve the following problem in finite elementWe don't do homework on this list. Especially homework that has essentially nothing to do with R. -- Bert> A field variable f(x,y)=x? y is defined over a rectangle domain > ?={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= ? (1-z)(1-e) > N1= ? (1+z)(1-e) > N1= ? (1+z)(1+e) > N1= ? (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. > > ______________________________________________ > R-help at 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.-- 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