Re: [Getfem-users] Laplacian with Q_1 élément.

[Thomas Linse]

How did you calculate the L2 and H1 norms? I found "correct" convergence for a similar 1D problem when calculating the norms "by hand" (using Gauss integration), whereas the norms calculated using "gf_compute" from the scilab interface showed a larger convergence rate.

Maybe "gf_compute" (which calls getfem::asm_L2_norm or dasm_H1_norm) does not use the necessary order of integration?

Kind regards,

Thomas

On 16.02.2016 09:59, Yves Renard wrote:

Dear Yassine,

Superconvergence phenomena are quite common when a structured mesh is used. If you use the option "MESH_NOISED", this should (unfortunately !) disapear.

Best Regards,

Yves.


Le 15/02/2016 15:01, Yassine ZAIM a écrit :

Hi,

I want to ask you if someone has already solved the laplacian problem that exists in the tests directory with the Q_1 element in 2 dimension. Because I find the order of convergence equal to "2" for the L2 and H1 norme. what is not normal.

Best regards.

Bonjour,

S.v.p j'aimerais savoir si quelqu'un de vous a déjà testé le problème de laplacian qui exist dans la répertoire des tests avec l'élément Q_1 en dimension 2. J'ai testé ça et je trouve le même ordre pour les deux norme L2 et H1 (Ordre(L2) = Ordre(H1) = 2). Ce qui contredit la théorie.

Merci d'avance pour vos réponse.

Cordialement.

--

ZAIM Yassine 

PhD Student in Applied Mathematics

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