Hello Dimitrios, developers,
I’ve written such a code some time ago, conforming adaptivity using Delaunay 
triangulation. Is that that you need? It was working well in my case where I 
had to solve elliptic and parabolic problems with first order continuous 
galerkin, P1 lagrange basis. I’ve sent a link to a downloadable example in this 
mailing list. Did you have a look? Developers?
https://sourceforge.net/p/libmesh/mailman/message/35758424/

The link isn’t working anymore but if you need I can repost it or, Dimitrios, 
just come to my office ;)

Regards,
Giacomo Rosilho de Souza

—————————————
EPFL SB MATHICSE ANMC
MA C2 637 (Bâtiment MA)
Station 8
CH-1015 Lausanne

Il giorno 3-ott-2017, alle ore 16:44, Roy Stogner 
<[email protected]<mailto:[email protected]>> ha scritto:


On Tue, 3 Oct 2017, 
[email protected]<mailto:[email protected]> wrote:

I would like to ask if libmesh can support conforming mesh adaptation.

Technically, "can support" - yes.  One of the consequences of the
"toolkit, not a framework" philosophy is that users can do a lot of
things without specific library APIs to do them, and looping through
elements to split some of them would be a good example.  libMesh will
even do a few things to help with that, like reconstructing neighbor
topology for you if you don't do that on the fly yourself.

But "can provide" - no.  Currently the only refinement types built
into the library are isotropic h refinement with hanging nodes,
isotropic p refinement on hierarchic element types, nodal
redistribution, and mixtures of those.

If you do write conforming mesh adaptation code, though, and it's
generic enough to work on others' problems (even if it's only for
triangles/tets), we'd love to incorporate it.
---
Roy

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