首页> 外文期刊>International Journal for Numerical Methods in Engineering >Weakening the tight coupling between geometry and simulation in isogeometric analysis: From sub‐ and super‐geometric analysis to Geometry‐Independent Field approximaTion (GIFT)

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Weakening the tight coupling between geometry and simulation in isogeometric analysis: From sub‐ and super‐geometric analysis to Geometry‐Independent Field approximaTion (GIFT)

机译：异步分析中几何和仿真之间的紧密耦合：从外几何分析到几何与几何 - 无关场近似（礼物）

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Summary >This paper presents an approach to generalize the concept of isogeometric analysis by allowing different spaces for the parameterization of the computational domain and for the approximation of the solution field. The method inherits the main advantage of isogeometric analysis, ie, preserves the original exact computer‐aided design geometry (for example, given by nonuniform rational B‐splines), but allows pairing it with an approximation space, which is more suitable/flexible for analysis, for example, T‐splines, LR‐splines, (truncated) hierarchical B‐splines, and PHT‐splines. This generalization offers the advantage of adaptive local refinement without the need to reparameterize the domain, and therefore without weakening the link with the computer‐aided design model. We demonstrate the use of the method with different choices of geometry and field spaces and show that, despite the failure of the standard patch test, the optimum convergence rate is achieved for nonnested spaces. </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 =“nme5778-abs-abs-abs-0001”> <标题类型=“main” >摘要</ title> >本文通过允许计算域的参数化和解决方案的近似来允许不同的空间来概括异步测定分析概念的方法。该方法继承了异步测定分析的主要优点，即，保留原始的精确计算机辅助设计几何体（例如，由非均匀的Rational B样品给出），但允许将其与近似空间配对，这更适合/灵活分析，例如，T样片，LR - 样条，（截短）分层B样条和PHT样条。此概括提供了自适应本地改进的优势，而无需重新处理域，因此而不削弱与计算机辅助设计模型的联系。我们展示了使用不同选择的几何和现场空间的方法的使用，并表明，尽管标准贴剂测试失败，但是对于非已最大的空间实现了最佳的收敛速率。</ 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10期</span><b style="margin: 0 2px;">|</b><span>共29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=Atroshchenko Elena&option=202" target="_blank" rel="nofollow">Atroshchenko Elena;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Tomar Satyendra&option=202" target="_blank" rel="nofollow">Tomar Satyendra;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Xu Gang&option=202" target="_blank" rel="nofollow">Xu Gang;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Bordas Stéphane P.A.&option=202" target="_blank" rel="nofollow">Bordas Stéphane P.A.;</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>Department of Mechanical EngineeringUniversity of ChileSantiago Chile;</p> <p>Institute of Computational Engineering Faculty of Sciences Communication and TechnologyUniversity of LuxembourgLuxembourg City Luxembourg;</p> <p>Hangzhou Dianzi UniversityHangzhou China;</p> <p>Institute of Computational Engineering Faculty of Sciences Communication and TechnologyUniversity of LuxembourgLuxembourg City Luxembourg;</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=CAD&option=203" rel="nofollow">CAD;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=IGA&option=203" rel="nofollow">IGA;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=NURBS&option=203" rel="nofollow">NURBS;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=PHT‐splines&option=203" rel="nofollow">PHT‐splines;</a> </p> <div class="translation"> 机译：乍得;现在;nurbs;fl-splans; 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