[petsc-users] Local refinements of tetrahedron elements

[Pierre Jolivet]

> On 12 Apr 2022, at 5:20 PM, Ce Qin <qince168 at gmail.com> wrote:
> 
> I am sorry for the unclear description.
> 
> By hierarchical, I mean that each cell in the coarse mesh marked for refinement is subdivided into several small cells.

[Par]Mmg does not do that. They generate unstructured meshes without a particular hierarchy between the input and output meshes.

Thanks,
Pierre

> For example, the mesh refined by the SBR method is hierarchical.
> 
> Best regards,
> Ce
> 
> 
> 
> Matthew Knepley <knepley at gmail.com <mailto:knepley at gmail.com>> 于2022年4月12日周二 18:47写道：
> On Tue, Apr 12, 2022 at 2:10 AM Ce Qin <qince168 at gmail.com <mailto:qince168 at gmail.com>> wrote:
> Thanks for your reply, Matthew.
> 
> One more question, I want to get a hierarchical mesh after mesh adaptation, so does the adaptation method implemented in ParMMG support this feature?
> 
> What exactly does that mean?
> 
>   Thanks,
> 
>      Matt
>  
> Best regards,
> Ce
> 
> Matthew Knepley <knepley at gmail.com <mailto:knepley at gmail.com>> 于2022年4月11日周一 21:17写道：
> On Fri, Apr 1, 2022 at 10:14 AM Ce Qin <qince168 at gmail.com <mailto:qince168 at gmail.com>> wrote:
> Dear all,
> 
> I want to implement the adaptive finite element method using the DMPlex interface. So I would like to know whether DMPlex supports local (also hierarchical) refinements of tetrahedron elements. I found that there is an adaptation method called SBR, but it seems that it only supports triangle elements. 
> 
> Sorry this took me a while.
> 
> You are right, I have not implemented the 3D version yet. It is straightforward, but in the paper there are 96 cases. I would like
> to automatically generate that, but I need to figure out how that would go. Right now all the adaptation requests have been for
> 2D, or used ParMMG which works in 3D for PETSc right now.
> 
>   Thanks,
> 
>      Matt
>  
> Best regards,
> Ce
> 
> 
> -- 
> What most experimenters take for granted before they begin their experiments is infinitely more interesting than any results to which their experiments lead.
> -- Norbert Wiener
> 
> https://www.cse.buffalo.edu/~knepley/ <http://www.cse.buffalo.edu/~knepley/>
> 
> 
> -- 
> What most experimenters take for granted before they begin their experiments is infinitely more interesting than any results to which their experiments lead.
> -- Norbert Wiener
> 
> https://www.cse.buffalo.edu/~knepley/ <http://www.cse.buffalo.edu/~knepley/>

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