Re: [Getfem-users] 4th order 2D problem

[Yves Renard]

Dear Oladayo Eluyefa,

4th order elliptical problems require basically C^1 finite element methods such 
as Argyris, HCT or FVS elements. You can see an example of use in the matlab 
demo program interface/tests/matlab/demo_bilaplacian.m.

It is possible also in that context to use lower order finite element methods 
together with interior penalty methods (see for instance the work of Susanne C. 
Brenner and Li-Yeng Sung, C0 Interior Penalty Methods for Fourth Order Elliptic 
Boundary Value Problems on Polygonal Domains, Journal of Scientific Computing, 
22-23 : 2005, pp83-118.) But there is not such an implementation in Getfem for 
the moment.

Best regards,

Yves






----- Original Message -----
From: "OLADAYO ELUYEFA (RIT Student)" <address@hidden>
To: address@hidden
Sent: Saturday, March 14, 2015 7:24:37 PM
Subject: [Getfem-users] 4th order 2D problem

I am having a hard time figuring out exactly what finite element methods (bases 
functions) fems, and integration technique would be appropriate for a 4th order 
2D elliptical inverse problem. 


Oladayo Eluyefa, 

Rochester Institute of Technology '15, 
B.S., Computational Mathematics, 
M.S., Applied and Computational Mathematics. 

( address@hidden , address@hidden ) 
(585)-287-1955 



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