<div dir="ltr">Thanks for all your reply.<div><br></div><div>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.</div><div><br></div><div>Best regards,</div><div>Ce</div></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">Matthew Knepley <<a href="mailto:knepley@gmail.com">knepley@gmail.com</a>> 于2022年4月13日周三 05:02写道：<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="ltr"><div dir="ltr">On Tue, Apr 12, 2022 at 11:20 AM Ce Qin <<a href="mailto:qince168@gmail.com" target="_blank">qince168@gmail.com</a>> wrote:<br></div><div class="gmail_quote"><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="ltr">I am sorry for the unclear description.<div><br></div><div>By hierarchical, I mean that each cell in the coarse mesh marked for refinement is subdivided into several small cells.</div><div>For example, the mesh refined by the SBR method is hierarchical.</div></div></blockquote><div><br></div><div>Even here you do not get edge-nested meshes.</div><div><br></div><div> Matt</div><div> </div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="ltr"><div>Best regards,</div><div>Ce</div><div><br></div><div><br></div></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">Matthew Knepley <<a href="mailto:knepley@gmail.com" target="_blank">knepley@gmail.com</a>> 于2022年4月12日周二 18:47写道：<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="ltr"><div dir="ltr">On Tue, Apr 12, 2022 at 2:10 AM Ce Qin <<a href="mailto:qince168@gmail.com" target="_blank">qince168@gmail.com</a>> wrote:<br></div><div class="gmail_quote"><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="ltr">Thanks for your reply, Matthew.<div><br></div><div>One more question, I want to get a hierarchical mesh after mesh adaptation, so does the adaptation method implemented in ParMMG support this feature?</div></div></blockquote><div><br></div><div>What exactly does that mean?</div><div><br></div><div> Thanks,</div><div><br></div><div> Matt</div><div> </div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="ltr"><div>Best regards,</div><div>Ce</div></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">Matthew Knepley <<a href="mailto:knepley@gmail.com" target="_blank">knepley@gmail.com</a>> 于2022年4月11日周一 21:17写道：<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="ltr"><div dir="ltr">On Fri, Apr 1, 2022 at 10:14 AM Ce Qin <<a href="mailto:qince168@gmail.com" target="_blank">qince168@gmail.com</a>> wrote:<br></div><div class="gmail_quote"><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="ltr"><div dir="ltr">Dear all,<div><br></div><div>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. </div></div></div></blockquote><div><br></div><div>Sorry this took me a while.</div><div><br></div><div>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</div><div>to automatically generate that, but I need to figure out how that would go. Right now all the adaptation requests have been for</div><div>2D, or used ParMMG which works in 3D for PETSc right now.</div><div><br></div><div> Thanks,</div><div><br></div><div> Matt</div><div> </div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="ltr"><div dir="ltr"><div>Best regards,</div><div>Ce</div></div></div>
</blockquote></div><br clear="all"><div><br></div>-- <br><div dir="ltr"><div dir="ltr"><div><div dir="ltr"><div><div dir="ltr"><div>What most experimenters take for granted before they begin their experiments is infinitely more interesting than any results to which their experiments lead.<br>-- Norbert Wiener</div><div><br></div><div><a href="http://www.cse.buffalo.edu/~knepley/" target="_blank">https://www.cse.buffalo.edu/~knepley/</a><br></div></div></div></div></div></div></div></div>
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</blockquote></div><br clear="all"><div><br></div>-- <br><div dir="ltr"><div dir="ltr"><div><div dir="ltr"><div><div dir="ltr"><div>What most experimenters take for granted before they begin their experiments is infinitely more interesting than any results to which their experiments lead.<br>-- Norbert Wiener</div><div><br></div><div><a href="http://www.cse.buffalo.edu/~knepley/" target="_blank">https://www.cse.buffalo.edu/~knepley/</a><br></div></div></div></div></div></div></div></div>
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</blockquote></div><br clear="all"><div><br></div>-- <br><div dir="ltr"><div dir="ltr"><div><div dir="ltr"><div><div dir="ltr"><div>What most experimenters take for granted before they begin their experiments is infinitely more interesting than any results to which their experiments lead.<br>-- Norbert Wiener</div><div><br></div><div><a href="http://www.cse.buffalo.edu/~knepley/" target="_blank">https://www.cse.buffalo.edu/~knepley/</a><br></div></div></div></div></div></div></div></div>
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