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首页> 外文期刊>International Journal for Numerical Methods in Engineering >Mixed finite element approximations based on 3‐D hh pp ‐adaptive curved meshes with two types of HH (div)‐conforming spaces
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Mixed finite element approximations based on 3‐D hh pp ‐adaptive curved meshes with two types of HH (div)‐conforming spaces

机译：基于3-d h h p p-adaintive弯曲网格，两种类型 h h（div） - conforming 空间

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Summary > Two stable approximation space configurations are treated for the mixed finite element method for elliptic problems based on curved meshes. Their choices are guided by the property that, in the master element, the image of the flux space by the divergence operator coincides with the potential space. By using static condensation, the sizes of global condensed matrices, which are proportional to the dimension of border fluxes, are the same in both configurations. The meshes are composed of different topologies (tetrahedra, hexahedra, or prisms). Simulations using asymptotically affine uniform meshes, exactly fitting a spherical‐like region, and constant polynomial degree distribution <fi>k</fi> , show <fi>L</fi> 2 errors of order <fi>k</fi> +1 or <fi>k</fi> +2 for the potential variable, while keeping order <fi>k</fi> +1 for the flux in both configurations. The first case corresponds to RT( <fi>k</fi> ) and BDFM( <fi>k</fi> +1) spaces for hexahedral and tetrahedral meshes, respectively, but holding for prismatic elements as well. The second case, further incrementing the order of approximation of the potential variable, holds for the three element topologies. The case of <fi>h</fi> <fi>p</fi> ‐adaptive meshes is considered for a problem modelling a porous media flow around a cylindrical horizontal well with elliptical drainage area. The effect of parallelism and static condensation in CPU time reduction is illustrated. </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：id =“nme5698-abs-0001”xml：lang =“en”> <标题类型=“main” >摘要</标题> >两个稳定的近似空间配置，用于基于弯曲网格的椭圆问题混合有限元方法。它们的选择是由媒体元素的属性引导，发散操作员与潜在空间一致的通量空间的图像。通过使用静态冷凝，两种配置中的全局冷凝矩阵的尺寸与边界通量的尺寸成比例。网格由不同的拓扑结构（四面体，六边形或棱镜）组成。使用渐近仿射均匀网格的模拟，精确地配合球形区域，恒定多项式分布<fi> k </ fi>，显示<fi> l </ fi> 2 </ sup>命令误差<电位变量的电气k </ fi> +1或<fi> k </ fi> +2，同时保持订单<fi> k </ fi> +1，用于两个配置中的磁通量。第一案例对应于六面体和四面体网格的RT（<fi> k </ fi>）和bdfm（<fi> k </ fi> +1）空间，但也适用于棱镜元素。第二种情况，进一步递增潜在变量的近似顺序，保持三个元素拓扑。 <fi> h </ fi> <fi> -adaptive网格的情况被认为是在圆柱形水平阱围绕椭圆形排水区围绕圆柱形水平阱的问题进行建模的问题。说明了并行性和静态凝结在CPU时间减少中的影响。 </ p> </ abstract> </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7期</span><b style="margin: 0 2px;">|</b><span>共16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=Devloo P. R. B.&option=202" target="_blank" rel="nofollow">Devloo P. R. B.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Durán O.&option=202" target="_blank" rel="nofollow">Durán O.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Gomes S. M.&option=202" target="_blank" rel="nofollow">Gomes S. M.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Shauer N.&option=202" target="_blank" rel="nofollow">Shauer 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>Faculdade de Engenharia Civil Arquitetura e UrbanismoUniversidade Estadual de CampinasCampinas‐SP Brazil;</p> <p>Faculdade de Engenharia MecanicaUniversidade Estadual de CampinasCampinas‐SP Brazil;</p> <p>Instituto de Matemática Estatítica e Computa??o CientíficaUniversidade Estadual de CampinasCampinas‐SP Brazil;</p> <p>Civil and Environmental EngineeringUniversity of IllinoisUrbana‐Champaign USA;</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=curved elements&option=203" rel="nofollow">curved elements;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=H (div)‐conforming spaces&option=203" rel="nofollow">H (div)‐conforming spaces;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=h p adaptivity&option=203" rel="nofollow">h p adaptivity;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=mixed finite elements&option=203" rel="nofollow">mixed finite elements;</a> </p> <div class="translation"> 机译：弯曲元件;H（div） - 圆形空间;H P自适应;混合有限元; </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 class="active" >外文文献</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704022969935.html">Mixed finite element approximations based on 3‐D <fi xmlns="http://www.wiley.com/namespaces/wiley">h</fi>h <fi xmlns="http://www.wiley.com/namespaces/wiley">p</fi>p ‐adaptive curved meshes with two types of <b xmlns="http://www.wiley.com/namespaces/wiley">HH (div)‐conforming spaces</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Devloo P. 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