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<div style="">Dear Matt,
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<div>Thank you for the additional information. </div>
<div>I do agree that I will have to write code to describe the interpolation I need for a multi-model problem.
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<div>Let me try to illustrate my point on the simple mesh I have attached to this email. It is done with Gmsh but other generators I use can do the same.</div>
<div>The mesh is composed of : </div>
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<div>- a 3D part, volume_3d, where continuum mechanics equations will be assigned (displacement dof)</div>
<div>- a 2D part, neumann_2d, which is a face of volume_3d and that will be used to integrate a Neumann condition assigned to volume_3d (it shares the displacement dof of volume_3d)</div>
<div>- a 2D part, shell_2d, where shell equations will be assigned (displacement+rotation dof)</div>
<div>- a 1D part, beam_1d, where beam equations will be assigned (displacement+rotation dof)<br>
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I can imagine that it is impossible, only from the knowledge of the mesh, to guess the interpolation. But I would be happy to try to write a small DMPlex test to try to describe such a model with a little help from you or another PETSc practitioner.<br>
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<div style="">Regards, </div>
<div style="">Nicolas</div>
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<div id="divRplyFwdMsg" dir="ltr"><font face="Calibri, sans-serif" style="font-size:11pt" color="#000000"><b>De :</b> knepley@gmail.com <knepley@gmail.com><br>
<b>Envoyé :</b> mercredi 3 novembre 2021 12:14<br>
<b>À :</b> TARDIEU Nicolas <nicolas.tardieu@edf.fr><br>
<b>Cc :</b> petsc-users@mcs.anl.gov <petsc-users@mcs.anl.gov><br>
<b>Objet :</b> Re: [petsc-users] How to construct DMPlex of cells with different topological dimension?</font>
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<div dir="ltr">On Wed, Nov 3, 2021 at 4:20 AM TARDIEU Nicolas via petsc-users <<a href="mailto:petsc-users@mcs.anl.gov">petsc-users@mcs.anl.gov</a>> wrote:<br>
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<div><span style="font-family:Calibri,Arial,Helvetica,sans-serif; font-size:12pt; color:rgb(0,0,0)">Dear all,</span></div>
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<div><span style="font-family:Calibri,Arial,Helvetica,sans-serif; font-size:12pt; color:rgb(0,0,0)">As a practitioner of structural mechanics, I modestly wish to support Yuan's argument. Model mixing, and consequently finite element dimension
<span style="background-color:rgb(255,255,255); display:inline">mixing</span>, is (perhaps unfortunately) an inescapable practice of this engineering field. This has consequences not only on the nature of the meshes we use but also on the quasi-systematic recourse
to linear relations (also named multipoints constraints, MPC) between the degrees of freedom of the different models (for example, linking a shell to a 3D part requires to write kinematic connections between displacements and rotatio</span><span style="font-family:Calibri,Helvetica,sans-serif; font-size:12pt; color:rgb(0,0,0)">ns).</span>
<div><span style="font-family:Calibri,Helvetica,sans-serif">DMPlex handling such meshes would be a really great contribution for the structural mechanics community.</span></div>
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<div>Nicolas,</div>
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<div>From my point of view, this is supported, so it would be good to understand what you do not think is supported:</div>
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<div>1) Multiple models</div>
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<div> This is supported in the sense that you can use any data layout, and assemble any system you want into it. You can use</div>
<div> beams along edges and shells on faces if you want. I have examples of different equations in different pieces of the domain.</div>
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<div>2) Mesh with pieces hanging off</div>
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<div> This is supported in the sense that you can input such a mesh. You have to describe it completely, but it can be input and iterated over.</div>
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<div>3) Mesh Interpolation</div>
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<div> If you only want to input vertices _and_ you want to input different dimensional objects, you will have to write code. There is no way to guess</div>
<div> what you mean from a collection of vertices. You could</div>
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<div> a) Directly call GetRawFaces() to do the interpolation per cell before input (seems easier)</div>
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<div> b) Rewrite the interpolation loop to check whether cell types have been set and just call the appropriate interpolation if they have</div>
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<div>I guess you are arguing that I should add the code for 3). Most people I have interacted with use a mesh generator to make the meshes, so</div>
<div>I concentrated on importing those formats. Can meshes like these be made with those generators?</div>
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<div> Thanks,</div>
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<div> Matt</div>
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<div style="margin:0px"><span style="font-family:Calibri,Arial,Helvetica,sans-serif; font-size:12pt; color:rgb(0,0,0)">Best regards,
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<div style="margin:0px"><font face="Calibri, Arial, Helvetica, sans-serif"><span style="font-family:Calibri,Arial,Helvetica,sans-serif; font-size:12pt; color:rgb(0,0,0)">Nicolas</span></font><br>
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