<div><div dir="ltr"><div>Thanks a lot, Blaise. Yes. As you said, I have to define a node set to find the edges we are interested in for Exodus II file.<br></div><div><br></div></div></div><div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">On Sun, Sep 22, 2024 at 9:26 AM Blaise Bourdin <<a href="mailto:bourdin@mcmaster.ca" target="_blank">bourdin@mcmaster.ca</a>> wrote:<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>
<br id="m_-2508011887082498832m_3282436938527674686lineBreakAtBeginningOfMessage">
<div><br>
<blockquote type="cite">
<div>On Sep 21, 2024, at 9:54 AM, neil liu <<a href="mailto:liufield@gmail.com" target="_blank">liufield@gmail.com</a>> wrote:</div>
<br>
<div>
<table style="font-family:Helvetica;letter-spacing:normal;text-transform:none;word-spacing:0px;text-decoration:none" width="100%" cellspacing="0" cellpadding="0" border="0" align="left">
<tbody>
<tr>
<td style="background:rgb(122,0,60);padding:5pt 2pt"></td>
<td cellpadding="7px 6px 7px 15px" style="padding:5pt 4pt 5pt 12pt" width="100%">
<div><span style="font-weight:bold">Caution:<span> </span></span>External email.<span> </span></div>
</td>
</tr>
</tbody>
</table>
<br style="font-family:Helvetica;font-size:12px;font-style:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration:none">
<div style="font-family:Helvetica;font-size:12px;font-style:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration:none">
<div dir="ltr">
<div dir="ltr">
<div dir="ltr">Thanks a lot, David. That works.
<div>Then I tried another example from Cubit. The script is defined as follows,</div>
<div><br>
</div>
<div><span style="color:rgb(221,221,221);font-family:Arial,sans-serif;font-size:15.008px;background-color:rgb(34,34,34)">reset</span><br style="color:rgb(221,221,221);font-family:Arial,sans-serif;font-size:15.008px;background-color:rgb(34,34,34)">
<span style="color:rgb(221,221,221);font-family:Arial,sans-serif;font-size:15.008px;background-color:rgb(34,34,34)">brick x 1</span><br style="color:rgb(221,221,221);font-family:Arial,sans-serif;font-size:15.008px;background-color:rgb(34,34,34)">
<span style="color:rgb(221,221,221);font-family:Arial,sans-serif;font-size:15.008px;background-color:rgb(34,34,34)">mesh vol 1</span><br style="color:rgb(221,221,221);font-family:Arial,sans-serif;font-size:15.008px;background-color:rgb(34,34,34)">
<span style="color:rgb(221,221,221);font-family:Arial,sans-serif;font-size:15.008px;background-color:rgb(34,34,34)">block 1 volume 1</span><br style="color:rgb(221,221,221);font-family:Arial,sans-serif;font-size:15.008px;background-color:rgb(34,34,34)">
<span style="color:rgb(221,221,221);font-family:Arial,sans-serif;font-size:15.008px;background-color:rgb(34,34,34)">sideset 1 surface 1</span><br style="color:rgb(221,221,221);font-family:Arial,sans-serif;font-size:15.008px;background-color:rgb(34,34,34)">
<span style="color:rgb(221,221,221);font-family:Arial,sans-serif;font-size:15.008px;background-color:rgb(34,34,34)">block 2 surface 1 </span><span style="color:rgb(221,221,221);font-family:Arial,sans-serif;font-size:15.008px;background-color:rgb(34,34,34)">#sides</span><span style="color:rgb(221,221,221);font-family:Arial,sans-serif;font-size:15.008px;background-color:rgb(34,34,34)"> of
these elements can now be referenced in a sideset</span><br style="color:rgb(221,221,221);font-family:Arial,sans-serif;font-size:15.008px;background-color:rgb(34,34,34)">
<span style="color:rgb(221,221,221);font-family:Arial,sans-serif;font-size:15.008px;background-color:rgb(34,34,34)">block 2 element type quad</span><br style="color:rgb(221,221,221);font-family:Arial,sans-serif;font-size:15.008px;background-color:rgb(34,34,34)">
<span style="color:rgb(221,221,221);font-family:Arial,sans-serif;font-size:15.008px;background-color:rgb(34,34,34)">sideset 2 curve 1</span><br>
</div>
<div><br>
</div>
<div>Then the mesh was exported as a exodus file (attached), and imported into Petsc. </div>
<div>Here, the code was stuck by the function, <span style="color:rgb(34,40,50);font-family:-apple-system,BlinkMacSystemFont,"Segoe UI","Helvetica Neue",Arial,sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol"">DMPlexCreate</span><span style="color:rgb(34,40,50);font-family:-apple-system,BlinkMacSystemFont,"Segoe UI","Helvetica Neue",Arial,sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol";box-sizing:border-box">Exodus().</span></div>
<div><span style="color:rgb(34,40,50);font-family:-apple-system,BlinkMacSystemFont,"Segoe UI","Helvetica Neue",Arial,sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol";box-sizing:border-box">I think maybe
this is due to block 1 is 3D while block 2 is 2D. </span></div>
<div><span style="color:rgb(34,40,50);font-family:-apple-system,BlinkMacSystemFont,"Segoe UI","Helvetica Neue",Arial,sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol";box-sizing:border-box">But this
seems necessary to define an edge using sideset. </span></div>
</div>
</div>
</div>
</div>
</div>
</blockquote>
<div><br>
</div>
<div><br>
</div>
That is corrrect.</div>
<div>As far as I understand, one of the few assumptions in dmplex is that “cells” have the same topological dimension</div>
<div>Here sideset 1 and 2 have different dimensions.</div>
<div>As far as I remember, exodusII does not have “Edge sets”, so your best bet would be to define a node set for curve 1.</div>
<div><br>
</div>
<div>Regards,</div>
<div>Blaise</div>
<div><br>
</div>
<div>
<blockquote type="cite">
<div>
<div style="font-family:Helvetica;font-size:12px;font-style:normal;font-variant-caps:normal;font-weight:400;letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration:none">
<div dir="ltr">
<div dir="ltr">
<div dir="ltr">
<div><span style="color:rgb(34,40,50);font-family:-apple-system,BlinkMacSystemFont,"Segoe UI","Helvetica Neue",Arial,sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol";box-sizing:border-box"><br>
</span></div>
<div><font face="-apple-system, BlinkMacSystemFont, Segoe UI, Helvetica Neue, Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol" color="#222832">Thanks,</font></div>
<div><font face="-apple-system, BlinkMacSystemFont, Segoe UI, Helvetica Neue, Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol" color="#222832"><br>
</font></div>
<div><font face="-apple-system, BlinkMacSystemFont, Segoe UI, Helvetica Neue, Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol" color="#222832">Xiaodong </font></div>
</div>
</div>
</div>
<br>
<div class="gmail_quote">
<div dir="ltr" class="gmail_attr">On Fri, Sep 20, 2024 at 3:15 PM David Andrs <<a href="mailto:andrsd@gmail.com" target="_blank">andrsd@gmail.com</a>> wrote:<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>Before you export the mesh from Cubit, change the element type to something like QUAD4. PETSc does not automatically remap SHELL elements to QUADs.</div>
<div><br>
</div>
<div>--</div>
<div>David</div>
<br>
<div class="gmail_quote">
<div dir="ltr" class="gmail_attr">On Fri, Sep 20, 2024 at 8:05 AM neil liu <<a href="mailto:liufield@gmail.com" target="_blank">liufield@gmail.com</a>> wrote:<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">
<div dir="ltr">Dear Petsc developers and users,
<div><br>
</div>
<div>I am trying to read an exodus II file from coreform cubit, but without success,</div>
<div>Then I used petsc's built-in exodus file, /share/petsc/datafiles/meshes/sevenside.exo.</div>
<div>This file can be read by petsc successfully. </div>
<div><br>
</div>
<div>And I did a test. This file, sevenside.exo, is imported into coreform Cubit, and then is saved as a new exodus file. This new exodus file can not be read by petsc successfully. </div>
<div><br>
</div>
<div>
<div style="min-height:100%">
<div style="width:1540px">
<div>
<div>
<div>
<div>
<div>
<div>
<div>
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:3" style="height:625px">
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:1" style="min-height:434.521px">
<div>
<div role="main">
<div>
<div>
<div>
<div>
<div role="list">
<div role="listitem" aria-expanded="true">
<div style="border-top-color:rgb(239,239,239);width:1196.2px">
<div style="border-top:1px solid rgba(100,121,143,0.12)">
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2rd">
<div>
<div>
<div>
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2rg">
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2rf">
<div dir="ltr">[0]PETSC ERROR: Invalid argument<br>
[0]PETSC ERROR: Unrecognized element type SHELL<br>
[0]PETSC ERROR: See <a href="https://urldefense.us/v3/__https://petsc.org/release/faq/__;!!G_uCfscf7eWS!fcN-KL0rs3WRHNRfT47zioS4djjyXM7OCr32LT2olmZHm3X1NIk-WMdU9-UR3rNotQSpINEm8NrcMtWTCFqKEg$" target="_blank">https://petsc.org/release/faq/</a> for trouble shooting.<br>
[0]PETSC ERROR: Petsc Release Version 3.21.1, Apr 26, 2024<br>
[0]PETSC ERROR: ./app on a arch-linux-c-opt named localhost.localdomain by xiaodongliu Fri Sep 20 09:36:16 2024<br>
[0]PETSC ERROR: Configure options -download-mumps -download-scalapack --with-cc=gcc --with-fc=gfortran --with-cxx=g++ --download-fblaslapack --download-mpich --with-scalar-type=complex --download-triangle --with-debugging=no --download-parmetis --download-metis
-download-ptscotch --download-bison --download-hdf5 -download-mmg=/home/xiaodongliu/Documents/3rdPartyLib/d5c43d1bcefe598d51428f6a7fee10ec29478b79.tar.gz --download-ctetgen --download-pragmatic --download-eigen --download-netcdf=/home/xiaodongliu/Documents/3rdPartyLib/netcdf-c-4.9.2-p1.tar.gz
--download-zlib --download-pnetcdf --download-exodusii<br>
[0]PETSC ERROR: #1 ExodusGetCellType_Internal() at /home/xiaodongliu/Documents/petsc-with-docs-3.21.1/petsc-3.21.1/src/dm/impls/plex/plexexodusii.c:1470<br>
[0]PETSC ERROR: #2 DMPlexCreateExodus() at /home/xiaodongliu/Documents/petsc-with-docs-3.21.1/petsc-3.21.1/src/dm/impls/plex/plexexodusii.c:1551<br>
[0]PETSC ERROR: #3 DMPlexCreateExodusFromFile() at /home/xiaodongliu/Documents/petsc-with-docs-3.21.1/petsc-3.21.1/src/dm/impls/plex/plexexodusii.c:1390</div>
<div>
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2ru" role="button" aria-label="Show trimmed content" aria-expanded="false">
<br>
</div>
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2ru" role="button" aria-label="Show trimmed content" aria-expanded="false">
Thanks a lot.</div>
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2ru" role="button" aria-label="Show trimmed content" aria-expanded="false">
<br>
</div>
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2ru" role="button" aria-label="Show trimmed content" aria-expanded="false">
Xiaodong </div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div>
<div style="height:672.516px">
<div style="height:672.513px">
<div role="complementary" aria-label="Side panel" style="height:672.513px">
<div>
<div role="tablist">
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-gsc-gab-6" role="tab" aria-label="Calendar" aria-disabled="false" aria-selected="false">
<div></div>
<div></div>
<div style="background-image:url("https://www.gstatic.com/companion/icon_assets/calendar_2020q4_2x.png")">
</div>
</div>
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-gsc-gab-2" role="tab" aria-label="Keep" aria-disabled="false" aria-selected="false">
<div></div>
<div></div>
<div style="background-image:url("https://www.gstatic.com/companion/icon_assets/keep_2020q4v3_2x.png")">
</div>
</div>
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-gsc-gab-4" role="tab" aria-label="Tasks" aria-disabled="false" aria-selected="false">
<div></div>
<div></div>
<div style="background-image:url("https://www.gstatic.com/companion/icon_assets/tasks_2021_2x.png")">
</div>
</div>
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-gsc-gab-9" role="tab" aria-label="Contacts" aria-disabled="false" aria-selected="false">
<div></div>
<div></div>
<div style="background-image:url("https://www.gstatic.com/companion/icon_assets/contacts_2022_2x.png")">
</div>
</div>
<div role="separator" aria-hidden="false" aria-disabled="true" id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:nz">
</div>
<div role="tab" aria-label="Get Add-ons" aria-selected="false" id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-qJTzr">
<div></div>
<div></div>
<div style="background-image:url("https://www.gstatic.com/images/icons/material/system/1x/add_white_24dp.png")">
</div>
</div>
</div>
</div>
</div>
<div>
<div role="button" aria-label="Hide side panel">
<div></div>
<div></div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div style="width:1540px;height:752.5px"></div>
<div>
<div></div>
</div>
<div role="tooltip">
<div></div>
</div>
<div style="width:1540px;height:752.5px">
<div style="width:1540px">
<div style="height:752.5px">
<div style="float:right">
<div style="width:56px"></div>
<div style="width:583px;height:752.5px">
<div>
<div style="width:578px;height:752.5px">
<div style="width:577.995px">
<div>
<div role="dialog" aria-labelledby=":2ey">
<div>
<div style="background-color:transparent"></div>
</div>
<div>
<div>
<div style="width:577.995px">
<div style="margin-left:3px">
<div style="padding-bottom:4px;margin-right:3px">
<div>
<div>
<table style="width:577.995px" cellpadding="0">
<tbody>
<tr id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2f0">
<td>
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2ey">
<h2>
<div>Compose:</div>
<div style="width:486px">Inquiry about reading an exodus II file from coreform Cubit</div>
</h2>
</div>
</td>
<td><img id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2ev" src="https://mail.google.com/mail/u/0/images/cleardot.gif" alt="Minimize" aria-label="Minimize"><img id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2ew" src="https://mail.google.com/mail/u/0/images/cleardot.gif" alt="Pop-out" aria-label="Full screen (Shift for pop-out)"><img id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2ex" src="https://mail.google.com/mail/u/0/images/cleardot.gif" alt="Close" aria-label="Save & close"></td>
</tr>
</tbody>
</table>
</div>
</div>
</div>
</div>
</div>
<div></div>
</div>
</div>
<div>
<div>
<div>
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2h8"></div>
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2iv"></div>
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2gj"></div>
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2hd" role="region" aria-label="Inquiry about reading an exodus II file from coreform Cubit">
<div style="background-color:transparent;width:1px;height:1px"></div>
<table id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2hc" role="presentation" style="width:546.016px">
<tbody>
<tr>
<td></td>
<td id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2g5">
<form id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2g2" action="https://mail.google.com/mail/u/0/" method="POST" enctype="multipart/form-data" target="_blank">
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2g6">
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2hj"><span>PETSc users list</span></div>
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2g3"></div>
</div>
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2gg">
<div style="background-color:transparent;width:1px;height:1px"></div>
<div style="background-color:transparent;width:1px;height:1px"></div>
<input name="subjectbox" id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2gh" aria-label="Subject" dir="ltr" style="width:546.016px"></div>
</form>
<table style="font-size:16.8px;width:546.016px">
<tbody>
<tr>
<td id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2io" style="width:546.016px">
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2il" style="max-height:467px;min-height:362px;height:362px">
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2im" style="max-height:362px">
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2ik">
<div style="font-family:"Google Sans",Roboto,RobotoDraft,Helvetica,Arial,sans-serif;background-color:transparent;width:1px;height:1px">
</div>
<div style="font-family:"Google Sans",Roboto,RobotoDraft,Helvetica,Arial,sans-serif;background-color:transparent;width:1px;height:1px">
</div>
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2h6" style="font-family:"Google Sans",Roboto,RobotoDraft,Helvetica,Arial,sans-serif">
<table id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-undefined" style="width:546.016px" cellpadding="0">
<tbody>
<tr>
<td style="width:546.016px">
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2f3" style="display:block">
<div>
<div id="m_-2508011887082498832m_3282436938527674686m_9133974286637224946m_4954793584285953066gmail-:2f7" aria-label="Message Body" role="textbox" aria-multiline="true" aria-controls=":2nq" aria-expanded="false" style="width:546.016px;direction:ltr;min-height:302px">
</div>
</div>
</div>
</td>
</tr>
</tbody>
</table>
</div>
</div>
</div>
</div>
</td>
</tr>
</tbody>
</table>
</td>
</tr>
</tbody>
</table>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</blockquote>
</div>
</div>
</blockquote>
</div>
</div>
<span id="m_-2508011887082498832m_3282436938527674686cid:f_m1c7o0rc0"><test.e></span></div>
</blockquote>
</div>
<br>
<div>
<div dir="auto" style="color:rgb(0,0,0);letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration:none">
<div dir="auto" style="color:rgb(0,0,0);letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration:none">
<div dir="auto" style="color:rgb(0,0,0);letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration:none">
<div dir="auto" style="color:rgb(0,0,0);letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration:none">
<div dir="auto" style="color:rgb(0,0,0);letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration:none">
<div dir="auto" style="color:rgb(0,0,0);letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration:none">
<div dir="auto" style="color:rgb(0,0,0);letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration:none">
<div dir="auto" style="color:rgb(0,0,0);letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration:none">
<div dir="auto" style="color:rgb(0,0,0);letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration:none">
<div dir="auto" style="color:rgb(0,0,0);letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration:none">
<div dir="auto" style="color:rgb(0,0,0);letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration:none">
<div dir="auto" style="color:rgb(0,0,0);letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration:none">
<div dir="auto" style="color:rgb(0,0,0);letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration:none">
<div dir="auto" style="color:rgb(0,0,0);letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration:none">
<div dir="auto" style="color:rgb(0,0,0);letter-spacing:normal;text-align:start;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;text-decoration:none">
<div>— <br>
Canada Research Chair in Mathematical and Computational Aspects of Solid Mechanics (Tier 1)</div>
<div>Professor, Department of Mathematics & Statistics<br>
Hamilton Hall room 409A, McMaster University<br>
1280 Main Street West, Hamilton, Ontario L8S 4K1, Canada <br>
<a href="https://urldefense.us/v3/__https://www.math.mcmaster.ca/bourdin__;!!G_uCfscf7eWS!behGY_YKaZKejR7vV7vkVTAHTWR_Y1UTNxgJ-4rMSCrvsMTFm_QsFVjhbC6HhjoPQ4ThPerrFQAqNC3T_iAGGQ$" target="_blank">https://www.math.mcmaster.ca/bourdin</a> | +1 (905) 525 9140 ext. 27243</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<br>
</div>
</blockquote></div>
</div>