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Re: [Getfem-users] new fem from the scrath


From: Yves Renard
Subject: Re: [Getfem-users] new fem from the scrath
Date: Mon, 17 Jun 2013 16:09:16 +0200
User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:17.0) Gecko/20130330 Thunderbird/17.0.5


Dear Egor,

Some mixed element are already implemented in Getfem++. An exemple of utilisation is in the file

contrib/mixed_elastostatics/mixed_elastostatic.cc

of the distribution. The first step to implement new elements is to define them at the reference element level. For intrinsic vectorial element, you can take example on the RT0 element which is defined in the file  getfem_fem.cc (line 1107). As this kind of element is not "affine equivalent" you have to use the post-transformation matrix (P1_RT0_::mat_trans method for the RT0) which allows a supplementary linear transformation which is real element dependant. See the documentation at the page:
http://download.gna.org/getfem/html/homepage/project/femdesc.html#finite-element-methods-description


Yves.


Le 13/06/2013 12:56, Egor Vtorushin a écrit :
Dear Yves 
I've used Getfem++ some years ago and since that moment i'm thinking that this library does pretty much cover FEA needs.

Right know i'm solving some dynamic elasticity problem with redundant requirements of strain smoothness. The decision has been made to proceed with mixed elements solution when strains are from H_div space and velocities are from L2. It led me to strains approximations that looks like this(mostly i took it from  BECACHE, JOLY, TSOGKA 1999 year work)

Встроенное изображение 1
(same pic attached)

It looks like something in the middle between RTQ1 and QK(2,1) i think. 
Could you please  provide me with a hint how to start implementing this. I've searched the mail-list but was not able to find good materials could help me

Thank you, 
Egor Vtorushin | Scientist

Baker Hughes | Novosibisk Technology Center | Int. Research for Drilling & Evaluations



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  Yves Renard (address@hidden)       tel : (33) 04.72.43.87.08
  Pole de Mathematiques, INSA-Lyon             fax : (33) 04.72.43.85.29
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