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<span style="font-size: 14pt;"><b><i>"Physics Preserving Finite Element Methods for Coupled Multi-Physical Applications"</i></b></span>
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<div class="ContentPasted0"><span style="font-size: 14pt;"><b>Sanghyun Lee</b></span></div>
<div class="ContentPasted0">Associate Professor</div>
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<div class="ContentPasted0"><i>NOTE: Please feel free to forward/share this invitation with other groups/disciplines that might be interested in this talk/topic.
<b>All are welcome to attend. </b></i></div>
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<div class="ContentPasted0">NOTE: Zoom access is for non-departmental participants only. Please try to attend in-person (499 DSL).</div>
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<div class="ContentPasted0"><b><a href="https://fsu.zoom.us/j/94273595552">https://fsu.zoom.us/j/94273595552</a> </b></div>
<div class="ContentPasted0">Meeting # <b>942 7359 5552 </b></div>
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<div class="ContentPasted0"><span id="🎦">🎦 </span>Colloquium recordings will be made available here,
<a href="https://www.sc.fsu.edu/colloquium" id="OWAc1b41dde-61e4-fd52-016c-22a18963338e" class="OWAAutoLink">
https://www.sc.fsu.edu/colloquium</a> </div>
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<div class="ContentPasted0"><b>Wednesday, Sep 27</b>, 2023, Schedule: </div>
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<div class="ContentPasted0">* <b>3:00</b> to 3:30 PM Eastern Time (US and Canada)
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<div class="ContentPasted0"><b><span id="☕">☕ </span>Nespresso & Teatim</b>e - 417 DSL Commons
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<div class="ContentPasted0">* <b>3:30</b> to 4:30 PM Eastern Time (US and Canada)
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<div class="ContentPasted0"><b><span id="🕟">🕟 </span>Colloquium</b> - 499 DSL Seminar Room
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<div class="ContentPasted0"><b>Abstract: </b></div>
<div class="ContentPasted0">In this talk, we will discuss new finite element methods for solving three distinct problems: coupled flow and transport systems in porous media, linear elasticity (mechanics) equations, and the coupled mechanics and flow, known
as poroelasticity. The primary goal of this study is to develop computationally efficient and robust numerical methods that are free from both oscillations due to the lack of local conservation and locking effects.</div>
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<div class="ContentPasted0">The locally conservative enriched Galerkin (LF-EG) method, which will be used to solve the flow problem, is constructed by adding a constant function to each element based on classical continuous Galerkin methods. The locking-free
enriched Galerkin (LC-EG) method adds a vector to the displacement space. These EG methods employ well-known discontinuous Galerkin (DG) techniques, but the approximation spaces have fewer degrees of freedom compared to typical DG methods, thus offering an
efficient alternative to DG methods. We will present a priori error estimates of optimal order and demonstrate, through numerical examples, that the new method is free from oscillations and locking.</div>
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<div class="ContentPasted0">Additional colloquium details can be found here, </div>
<div class="ContentPasted0"><a href="https://www.sc.fsu.edu/news-and-events/colloquium/1748-colloquium-with-sanghyun-lee-2023-09-27">https://www.sc.fsu.edu/news-and-events/colloquium/1748-colloquium-with-sanghyun-lee-2023-09-27</a> </div>
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