Dear Dr. Yves,
Thank you so much for your answer and your time.

I try with "MESH_NOISED = 1;"
For exemple :
for "NX = 127; *Number of dof : 16384*" : I found the error_H1 =
*1.239379991943454e-05*
for "NX = 255; *Number of dof : 65536*" : I found the error_H1 =
*3.083252284962158e-06*
*Order = Log2(**1.239379991943454e-05/**3.083252284962158e-06)=**2.0071.*
Maybe we will have the superconvergence phenomena in the both cases.

​Dear Thoma​s,
Thank you so much for your answer and your time.

For me I work with C++, I don't use any interfaces, because I need to do
some modifications later. The functions used for computation of error are
getfem::asm_L2_norm and getfem::asm_H1_norm.

Best regards.


2016-02-16 9:36 GMT+00:00 Thomas Linse <[email protected]>:

> 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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>
>
> --
>
>   Yves Renard ([email protected])       tel : (33) 04.72.43.87.08
>   Pole de Mathematiques, INSA-Lyon             fax : (33) 04.72.43.85.29
>   20, rue Albert Einstein
>   69621 Villeurbanne Cedex, FRANCE
>   http://math.univ-lyon1.fr/~renard
>
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>
>
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-- 
*ZAIM Yassine *
*PhD Student in Applied Mathematics*
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