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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 !!!



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

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

Best regards,


----- 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)?

Edouard Oudet :
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