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Re: [Getfem-users] quadratic mesh, step 2


From: Edouard Oudet
Subject: Re: [Getfem-users] quadratic mesh, step 2
Date: Mon, 31 Dec 2018 18:44:30 +0100
User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:60.0) Gecko/20100101 Thunderbird/60.2.1

Dear Yves,

Thanks a lot for your answer, that's perfectly clear now.. and works!

One more question: working on triangulated (curved) surface in R^3, I am interested to evaluate the gradient of a fem function at some point of this curved mesh. When my mesh was flat I used to build a model and call the interpolation of "Grad_u" on my mesh at a point P which was inside of the mesh.

Now that the mesh is curved, it is more tricky to produce a point which is exactly on the curved mesh like, for instance, the center of a curved triangle. Here are my (I hope last) questions:

1) Is it possible to generate points inside of a curved convex cell described by a mesh? 2) How to interpolate the gradient at these points. Does the same procedure work even if the point is never exactly on the curved mesh ?

Thanks a lot for your work and Happy new Year !!!

Best,

Edouard.

Le 29/12/2018 à 20:47, Yves Renard a écrit :
Dear Edouard,

The point ordering is the same that the corresponding fem. You can see the dof 
ordering of fem in the page

http://getfem.org/userdoc/appendixA.html

And yes, of course, it is possible to also mesh curved surfaces in 3D.


Best regards,

Yves

----- Original Message -----
From: "EDOUARD OUDET" <address@hidden>
To: "getfem-users" <address@hidden>
Sent: Saturday, December 29, 2018 8:05:04 PM
Subject: [Getfem-users] quadratic mesh, step 2

I answer to the first part of my question: curved mesh seem to be
implemented regarding examples in the tests/meshes folder. Great!!
My remaining questions are:
1) How/where is defined the ordering point sequence which defines a
curved convex cell in a getfem-mesh file?
2) curved mesh seem to be implemented in 2D, 3D but is it also the case
for surfaces (triangulation in 3D)?
Thanks!

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