[petsc-users] Local refinements of tetrahedron elements

Matthew Knepley knepley at gmail.com
Tue Apr 12 16:01:58 CDT 2022


On Tue, Apr 12, 2022 at 11:20 AM 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.
> For example, the mesh refined by the SBR method is hierarchical.
>

Even here you do not get edge-nested meshes.

   Matt


> Best regards,
> Ce
>
>
>
> Matthew Knepley <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> 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> 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> 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/>
>>
>

-- 
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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