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Finite Element Convergence Analysis |
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| May11-11, 06:24 PM | #1 |
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Finite Element Convergence Analysis
1. The problem statement, all variables and given/known data
I have a designed a Finite Element code for a Poisson problem using Bilinear Element. - [tex]\Delta[/tex]U= 2[tex]\pi^{2}Sin(\pi X)Sin(\pi Y)[/tex] U = 0 The exact solution is given by : UEX = [tex]Sin(\pi X)Sin(\pi Y)[/tex]. 2. The attempt at a solution On convergence analysis:Theoretically, if one increases the Mesh Size by powers of 2,i.e N =2,4,8,16,32,etc. the error should decrease by 1/4. Although,i have a solution,my error diverges instead of converging.What accounts for this?Any direction will be appreciated. |
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| fem, matlab, poisson |
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