Adaptive anisotropic integration scheme for high‐order fictitious domain methods: Application to thin structures

Legrain G.; Mo?s N.

摘要

Summary >A novel integration scheme is proposed for fictitious domain finite element methods. It relies on the use of a surface tracking strategy based on anisotropic mesh adaptation. Thanks to an error estimator, the method builds iteratively an adapted anisotropic mesh that is refined near the geometrical interface and elongated in the direction of a small curvature. This strategy allows to decrease the integration cost, which can be problematic for high‐order fictitious domain methods. In addition, it opens the possibility for the creation of unfitted solid shell strategies that can be used for the treatment of thin structures. Numerical studies show that the method leads to promising results for both integration cost and behavior with respect to locking. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><abstract xmlns =“http://www.wiley.com/namespaces/wiley”type =“main”xml：lang =“en”xml：id =“nme5769-abs-abs-0001”> <标题类型=“main” >摘要</ title> >为虚构域有限元方法提出了一种新颖的集成方案。它依赖于基于各向异性网格自适应的表面跟踪策略的使用。由于误差估算器，该方法构建了迭代地构建了一个改进的各向异性网格，其在几何界面附近被精炼，并在小曲率方向上伸长。该策略允许降低集成成本，这对于高阶虚构的域方法可能是有问题的。此外，它开辟了创造不完全固体壳体策略的可能性，这些壳体可以用于治疗薄结构。数值研究表明，该方法导致了对锁定的集成成本和行为的有希望的结果。</ p> </摘要> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-20801/'>《International Journal for Numerical Methods in Engineering》</a> <b style="margin: 0 2px;">|</b><span>2018年第8期</span><b style="margin: 0 2px;">|</b><span>共23页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Legrain G.&option=202" target="_blank" rel="nofollow">Legrain G.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Mo?s N.&option=202" target="_blank" rel="nofollow">Mo?s N.;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Institut de Recherche en Génie Civil et Mécanique (UMR 6183) Centre National de la Recherche Scientifiqueécole Centrale de Nantes Université de NantesNantes France;</p> <p>Institut de Recherche en Génie Civil et Mécanique (UMR 6183) Centre National de la Recherche Scientifiqueécole Centrale de Nantes Université de NantesNantes France;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/6940.html" title="工程数学">工程数学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=anisotropic meshing&option=203" rel="nofollow">anisotropic meshing;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=fictitious domain&option=203" rel="nofollow">fictitious domain;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=high order&option=203" rel="nofollow">high order;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=shell&option=203" rel="nofollow">shell;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=solid shell&option=203" rel="nofollow">solid shell;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=X‐FEM&option=203" rel="nofollow">X‐FEM;</a> </p> <div class="translation"> 机译：各向异性啮合;虚构领域;高阶;壳;固体壳;X-FEM; </div> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li 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