https://www.scipedia.com/wd/index.php?action=history&feed=atom&title=Kothari_Krause_2021aKothari Krause 2021a - Revision history2026-04-23T00:22:03ZRevision history for this page on the wikiMediaWiki 1.27.0-wmf.10https://www.scipedia.com/wd/index.php?title=Kothari_Krause_2021a&diff=219790&oldid=prevScipediacontent: Scipediacontent moved page Draft Content 568305833 to Kothari Krause 2021a2021-03-11T16:35:36Z<p>Scipediacontent moved page <a href="/public/Draft_Content_568305833" class="mw-redirect" title="Draft Content 568305833">Draft Content 568305833</a> to <a href="/public/Kothari_Krause_2021a" title="Kothari Krause 2021a">Kothari Krause 2021a</a></p>
<table class="diff diff-contentalign-left" data-mw="interface">
<tr style='vertical-align: top;' lang='en'>
<td colspan='1' style="background-color: white; color:black; text-align: center;">← Older revision</td>
<td colspan='1' style="background-color: white; color:black; text-align: center;">Revision as of 16:35, 11 March 2021</td>
</tr><tr><td colspan='2' style='text-align: center;' lang='en'><div class="mw-diff-empty">(No difference)</div>
</td></tr></table>Scipediacontenthttps://www.scipedia.com/wd/index.php?title=Kothari_Krause_2021a&diff=219789&oldid=prevScipediacontent: Created page with "== Abstract == In this work, we consider the modeling of inclusions in the material using an unfitted finite element method. In the unfitted methods, structured background me..."2021-03-11T16:35:34Z<p>Created page with "== Abstract == In this work, we consider the modeling of inclusions in the material using an unfitted finite element method. In the unfitted methods, structured background me..."</p>
<p><b>New page</b></p><div>== Abstract ==<br />
<br />
In this work, we consider the modeling of inclusions in the material using an unfitted finite element method. In the unfitted methods, structured background meshes are used and only the underlying finite element space is modified to incorporate the discontinuities, such as inclusions. Hence, the unfitted methods provide a more flexible framework for modeling the materials with multiple inclusions. We employ the method of Lagrange multipliers for enforcing the interface conditions between the inclusions and matrix, this gives rise to the linear system of equations of saddle point type. We utilize the Uzawa method for solving the saddle point system and propose preconditioning strategies for primal and dual systems. For the dual systems, we review and compare the preconditioning strategies that are developed for FETI and SIMPLE methods. While for the primal system, we employ a tailored multigrid method specifically developed for the unfitted meshes. Lastly, the comparison between the proposed preconditioners is made through several numerical experiments.<br />
<br />
== Full document ==<br />
<pdf>Media:Draft_Content_568305833p5110.pdf</pdf></div>Scipediacontent