[petsc-users] Local refinements of tetrahedron elements

[Ce Qin]

Thanks for all your reply.

I am aware that generating locally refined, conforming and hierarchical
meshes is very difficult. Using the octree method (like what p4est is
doing) may be another approach, but we have to deal with hanging nodes. It
is difficult too.

Best regards,
Ce

Matthew Knepley <knepley at gmail.com> 于2022年4月13日周三 05:02写道：

> 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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