<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
</head>
<body style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<br id="lineBreakAtBeginningOfMessage">
<div><br>
<blockquote type="cite">
<div>On Sep 21, 2024, at 9:54 AM, neil liu <liufield@gmail.com> wrote:</div>
<br class="Apple-interchange-newline">
<div>
<table border="0" cellspacing="0" cellpadding="0" align="left" width="100%" style="caret-color: rgb(0, 0, 0); font-family: Helvetica; letter-spacing: normal; orphans: auto; text-transform: none; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none;">
<tbody>
<tr>
<td style="background: rgb(122, 0, 60); padding: 5pt 2pt;"></td>
<td width="100%" cellpadding="7px 6px 7px 15px" style="padding: 5pt 4pt 5pt 12pt; overflow-wrap: break-word;">
<div style=""><span style="font-weight: bold;">Caution:<span class="Apple-converted-space"> </span></span>External email.<span class="Apple-converted-space"> </span></div>
</td>
</tr>
</tbody>
</table>
<br style="caret-color: rgb(0, 0, 0); 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; -webkit-text-stroke-width: 0px; text-decoration: none;">
<div style="caret-color: rgb(0, 0, 0); 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; -webkit-text-stroke-width: 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 class="gmail-hashtag" 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 class="gmail-highlighted" 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 class="gmail-highlighted" 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 class="gmail-highlighted" 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="caret-color: rgb(0, 0, 0); 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; -webkit-text-stroke-width: 0px; text-decoration: none;">
<div dir="ltr">
<div dir="ltr">
<div dir="ltr">
<div><span class="gmail-highlighted" 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 color="#222832" face="-apple-system, BlinkMacSystemFont, Segoe UI, Helvetica Neue, Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol">Thanks,</font></div>
<div><font color="#222832" face="-apple-system, BlinkMacSystemFont, Segoe UI, Helvetica Neue, Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol"><br>
</font></div>
<div><font color="#222832" face="-apple-system, BlinkMacSystemFont, Segoe UI, Helvetica Neue, Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol">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">andrsd@gmail.com</a>> wrote:<br>
</div>
<blockquote class="gmail_quote" style="margin: 0px 0px 0px 0.8ex; border-left-width: 1px; border-left-style: solid; border-left-color: 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-width: 1px; border-left-style: solid; border-left-color: 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_9133974286637224946m_4954793584285953066gmail-:3" style="height: 625px;">
<div id="m_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-width: 1px; border-top-style: solid; border-top-color: rgba(100, 121, 143, 0.12);">
<div id="m_9133974286637224946m_4954793584285953066gmail-:2rd">
<div>
<div>
<div>
<div id="m_9133974286637224946m_4954793584285953066gmail-:2rg">
<div id="m_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_9133974286637224946m_4954793584285953066gmail-:2ru" role="button" aria-label="Show trimmed content" aria-expanded="false">
<br>
</div>
<div id="m_9133974286637224946m_4954793584285953066gmail-:2ru" role="button" aria-label="Show trimmed content" aria-expanded="false">
Thanks a lot.</div>
<div id="m_9133974286637224946m_4954793584285953066gmail-:2ru" role="button" aria-label="Show trimmed content" aria-expanded="false">
<br>
</div>
<div id="m_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_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_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_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_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_9133974286637224946m_4954793584285953066gmail-:nz">
</div>
<div role="tab" aria-label="Get Add-ons" aria-selected="false" id="m_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 cellpadding="0" style="width: 577.995px;">
<tbody>
<tr id="m_9133974286637224946m_4954793584285953066gmail-:2f0">
<td>
<div id="m_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_9133974286637224946m_4954793584285953066gmail-:2ev" src="https://mail.google.com/mail/u/0/images/cleardot.gif" alt="Minimize" aria-label="Minimize"><img id="m_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_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_9133974286637224946m_4954793584285953066gmail-:2h8"></div>
<div id="m_9133974286637224946m_4954793584285953066gmail-:2iv"></div>
<div id="m_9133974286637224946m_4954793584285953066gmail-:2gj"></div>
<div id="m_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_9133974286637224946m_4954793584285953066gmail-:2hc" role="presentation" style="width: 546.016px;">
<tbody>
<tr>
<td></td>
<td id="m_9133974286637224946m_4954793584285953066gmail-:2g5">
<form id="m_9133974286637224946m_4954793584285953066gmail-:2g2" action="https://mail.google.com/mail/u/0/" method="POST" enctype="multipart/form-data">
<div id="m_9133974286637224946m_4954793584285953066gmail-:2g6">
<div id="m_9133974286637224946m_4954793584285953066gmail-:2hj"><span>PETSc users list</span></div>
<div id="m_9133974286637224946m_4954793584285953066gmail-:2g3"></div>
</div>
<div id="m_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_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_9133974286637224946m_4954793584285953066gmail-:2io" style="width: 546.016px;">
<div id="m_9133974286637224946m_4954793584285953066gmail-:2il" style="max-height: 467px; min-height: 362px; height: 362px;">
<div id="m_9133974286637224946m_4954793584285953066gmail-:2im" style="max-height: 362px;">
<div id="m_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_9133974286637224946m_4954793584285953066gmail-:2h6" style="font-family: "Google Sans", Roboto, RobotoDraft, Helvetica, Arial, sans-serif;">
<table cellpadding="0" id="m_9133974286637224946m_4954793584285953066gmail-undefined" style="width: 546.016px;">
<tbody>
<tr>
<td style="width: 546.016px;">
<div id="m_9133974286637224946m_4954793584285953066gmail-:2f3" style="display: block;">
<div>
<div id="m_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="cid:f_m1c7o0rc0"><test.e></span></div>
</blockquote>
</div>
<br>
<div>
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<div dir="auto" style="caret-color: rgb(0, 0, 0); color: rgb(0, 0, 0); letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
<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!YzPMMkfECQSktMgrUW3j1dP4pRrFZsFoSZr4r1lMwOE0lcYkNEJEHlB34fIrchVhFTlsruN-Tkb6S6JqWMbuqXTM$">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>
</body>
</html>