How can I solve elliptic problem with fem and meshless method ?

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Saleh Alkarim

Hello

Find attachment here will help you

Good Luck

http://epubs.siam.org/doi/abs/10.1137/0724035

http://banerjee.syr.edu/PaperGenEllp.pdf

Article UTILIZING OF ELLIPTIC DOMAIN OF INFLUENCE FORMULATION OF MES...

Franco Concli

Franco

Thomas I. Seidman

I think the difficulty here will not be with setting up the FEM, but with the fact that this equation becomes singular on approaching the boundary x=0. [Dividing by x makes the coefficient of the drift term k/x.] One might get some useful insight by temporarily ignoring the variable y --- so looking first at the ODE: u''+(k/x)u'=f (which can be solved exactly) to see what behavior to expect as x->0.