Domain decomposition preconditioners for multiscale problems in linear elasticity

机译：域分解前提例，用于线性弹性中的多尺度问题

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

Summary >We analyze two‐level overlapping Schwarz domain decomposition methods for vector‐valued piecewise linear finite element discretizations of the PDE system of linear elasticity. The focus of our study lies in the application to compressible, particle‐reinforced composites in 3D with large jumps in their material coefficients. We present coefficient‐explicit bounds for the condition number of the two‐level additive Schwarz preconditioned linear system. Thereby, we do not require that the coefficients are resolved by the coarse mesh. The bounds show a dependence of the condition number on the energy of the coarse basis functions, the coarse mesh, and the overlap parameters, as well as the coefficient variation. Similar estimates have been developed for scalar elliptic PDEs by Graham et al.[1][Graham IG, 2007] The coarse spaces to which they apply here are assumed to contain the rigid body modes and can be considered as generalizations of the space of piecewise linear vector‐valued functions on a coarse triangulation. The developed estimates provide a concept for the construction of coarse spaces, which can lead to preconditioners that are robust with respect to high contrasts in Young's modulus and the Poisson ratio of the underlying composite. To confirm the sharpness of the theoretical findings, we present numerical results in 3D using vector‐valued linear, multiscale finite element and energy‐minimizing coarse spaces. The theory is not restricted to the isotropic (Lamé) case, extends to the full‐tensor case, and allows applications to multiphase materials with anisotropic constituents in two and three spatial dimensions. However, the bounds will depend on the ratio of largest to smallest eigenvalue of the elasticity tensor. </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 Type =“Main”XML：Lang =“en”XML：ID =“NLA2171-ABS-ABS-ABS-ABS 0001”> <标题类型=“main”>摘要</ title> >我们分析了两级重叠施瓦茨域用于矢量值的分段分段线性有限元的线性弹性PDE系统的线性有限元分段离散化。我们的研究的重点在于应用于可压缩，粒子增强复合材料的3D，其材料系数大跳跃。我们为两级添加剂Schwarz预处理线性系统的条件数表示系数显式界限。由此，我们不要求粗地网格解析系数。该界限示出了条件号对粗基函数，粗地网格和重叠参数的能量以及系数变化的依赖性。通过Graham等人对标量椭圆PDE开发了类似的估计。[1] [Graham Ig，2007]假设它们应用的粗糙空间被认为包含刚体模式，并且可以被认为是分段空间的概括在粗略三角测量上的线性矢量值函数。开发的估计为粗糙空间的构造提供了一种概念，这可以导致对杨氏模量和底层复合材料的泊松比的高对比度具有鲁棒的预处理器。为了确认理论发现的锐度，我们使用矢量值线性，多尺寸有限元和能量最小化粗糙空间来呈现3D中的数值结果。该理论不限于各向同性（Lamé）案例，延伸到全张量壳体，并允许应用于两种和三个空间尺寸的各向异性成分的多相材料。然而，界限将取决于弹性张量的最大比率与最小的特征值。</ 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-26104/'>《Numerical linear algebra with applications》</a> <b style="margin: 0 2px;">|</b><span>2018年第5期</span><b style="margin: 0 2px;">|</b><span>共26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=Buck Marco&option=202" target="_blank" rel="nofollow">Buck Marco;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Iliev Oleg&option=202" target="_blank" rel="nofollow">Iliev Oleg;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Andr? Heiko&option=202" target="_blank" rel="nofollow">Andr? Heiko;</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>Fraunhofer Institute for Industrial Mathematics (ITWM)Kaiserslautern Germany;</p> <p>Fraunhofer Institute for Industrial Mathematics (ITWM)Kaiserslautern Germany;</p> <p>Fraunhofer Institute for Industrial Mathematics (ITWM)Kaiserslautern Germany;</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/4602.html" title="代数方程论、线性代数">代数方程论、线性代数;</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=coefficient robustness&option=203" rel="nofollow">coefficient robustness;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=convergence analysis&option=203" rel="nofollow">convergence analysis;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=energy‐minimizing basis&option=203" rel="nofollow">energy‐minimizing basis;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=linear elasticity&option=203" rel="nofollow">linear elasticity;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=multiscale finite elements&option=203" rel="nofollow">multiscale finite elements;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=overlapping domain decomposition preconditioners&option=203" rel="nofollow">overlapping domain decomposition preconditioners;</a> </p> <div class="translation"> 机译：系数鲁棒性;收敛性分析;能量最小化基础;线性弹性;多尺度有限元;重叠域分解预处理器; </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> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704023921268.html">Domain decomposition preconditioners for multiscale problems in linear elasticity</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Buck Marco&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Buck Marco,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Iliev Oleg&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Iliev Oleg,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Andr? Heiko&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Andr? Heiko </a> <a href="/journal-foreign-26104/" target="_blank" rel="nofollow" class="tuijian_authcolor">Numerical linear algebra with applications .</a> <span>2018</span><span>,第5期</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：域分解前提例，用于线性弹性中的多尺度问题</span> </p> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704023219672.html">Domain decomposition and multiscale mortar mixed finite element methods for linear elasticity with weak stress symmetry</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> </a> <a href="/journal-foreign-22789/" target="_blank" rel="nofollow" class="tuijian_authcolor">ESAIM. Mathematical modelling and numerical analysis .</a> <span>2019</span><span>,第6期</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：具有弱应力对称的线性弹性的域分解和多尺度砂浆混合有限元方法</span> </p> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/academic-journal-foreign_detail_thesis/0204115609922.html">Numerical assessment of two-level domain decomposition preconditioners for incompressible Stokes and elasticity equations</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Gabriel R. Barrenechea&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Gabriel R. Barrenechea,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Micha#0322&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Micha#0322,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Bosy&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Bosy,</a> <a href="/journal-foreign-22611/" target="_blank" rel="nofollow" class="tuijian_authcolor">Electronic Transactions on Numerical Analysis .</a> <span>2018</span><span>,第1期</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：不可压缩Stokes和弹性方程的两级域分解预处理器的数值评估</span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/academic-conference-foreign_meeting-258471_thesis/0705010782954.html">A Direct Domain-Decomposition Based Time-Domain Finite-Element Method of Linear Complexity for Simulating Multiscaled Structures in Integrated Circuit Systems</a> <b>[C]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Duo Chen&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Duo Chen,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Dan Jiao&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Dan Jiao </a> <a href="/conference-foreign-258471/" target="_blank" rel="nofollow" class="tuijian_authcolor">Annual Review of Progress in Applied Computational Electromagnetics .</a> <span>2012</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：基于直接域分解的线性复杂度的时域有限元方法，用于模拟集成电路系统中的多尺度结构</span> </p> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/academic-degree-foreign_mphd_thesis/02061636475.html">Fast solvers and domain decomposition preconditioners for spectral element discretizations of problems in H(curl)</a> <b>[D] </b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Hientzsch, Bernhard&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Hientzsch, Bernhard </a> <span>2001</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：H（curl）中问题的频谱元素离散化的快速求解器和区域分解预处理器</span> </p> </li> <li> <div> <b>6. </b><a class="enjiyixqcontent" href="/academic-journal-foreign-pmc_detail_thesis/040004589744.html">Statistical CT noise reduction with multiscale decomposition and penalized weighted least squares in the projection domain</a> <b>[O] </b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Shaojie Tang&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Shaojie Tang,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Xiangyang Tang&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Xiangyang Tang </a> <span>-1</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：统计CT降噪在投影域中进行多尺度分解和加权加权最小二乘</span> </p> </li> <li> <div> <b>7. </b><a class="enjiyixqcontent" href="/open-access_resources_thesis/01000126085351.html">Domain decomposition and multiscale mortar mixed finite element methods for linear elasticity with weak stress symmetry</a> <b>[O] </b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Eldar Khattatov&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Eldar Khattatov,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Ivan Yotov&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Ivan Yotov </a> <span>2019</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：具有弱应力对称的线性弹性的域分解和多尺度砂浆混合有限元方法</span> </p> </li> </ul> <ul style="display: none;"> <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/academic-journal-cn_journal-shandong-institute-light-industry_thesis/0201267399319.html">一个拓广的投影型变尺度算法：用于求解线性约束下的非线性最优化问题</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=王薇&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 王薇</a> <span> <a href="/journal-cn-51326/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 山东轻工业学院学报 </a> </span> <span> . 1991</span><span>,第002期</span> </span> </div> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/academic-journal-cn_journal-jinggangshan-university-natural-science_thesis/0201213571502.html">线性弹性问题的多尺度间断有限元方法</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=余涛&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 余涛</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=欧阳芬&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,欧阳芬</a> <span> <a href="/journal-cn-20879/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 井冈山大学学报 </a> </span> <span> . 2018</span><span>,第001期</span> </span> </div> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/academic-journal-cn_journal-jinggangshan-university-natural-science_thesis/0201248613166.html">线性弹性问题的多尺度间断有限元方法</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=余涛&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 余涛</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=欧阳芬&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,欧阳芬</a> <span> <a href="/journal-cn-4561/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 井冈山大学学报（自然科学版） </a> </span> <span> . 2018</span><span>,第001期</span> </span> </div> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/academic-journal-cn_journal-jinggangshan-university-natural-science_thesis/0201213653691.html">线性弹性问题的异质多尺度—间断有限元方法</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=余涛&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 余涛</a> <span> <a href="/journal-cn-20879/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 井冈山大学学报 </a> </span> <span> . 2014</span><span>,第004期</span> </span> </div> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/academic-journal-cn_journal-jinggangshan-university-natural-science_thesis/0201248615596.html">线性弹性问题的异质多尺度-间断有限元方法</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=余涛&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 余涛</a> <span> <a href="/journal-cn-4561/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 井冈山大学学报（自然科学版） </a> </span> <span> . 2014</span><span>,第004期</span> </span> </div> </li> <li> <div> <b>6. </b><a class="enjiyixqcontent" href="/academic-conference-cn_meeting-15455_thesis/020221408319.html">人工黏弹性边界的接触非线性问题在FEPG中的实现</a> <b>[C]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=王立涛&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 王立涛</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=陈厚群&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,陈厚群</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=马怀发&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,马怀发</a> <span> <a href="/conference-cn-15455/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 第二届全国水工抗震防灾学术交流会 </a> <span> <span> . 2009</span> </span> </div> </li> <li> <div> <b>7. </b><a class="enjiyixqcontent" href="/academic-degree-domestic_mphd_thesis/020316235440.html">非线性多孔弹性问题的全离散有限元方法及多尺度时间迭代格式</a> <b>[A] </b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=李海润&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 李海润</a> <span> . 2020</span> </span> </div> </li> </ul> <ul style="display: none;"> <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/patent-detail/06120103441139.html">一种基于改进的移动粒子半隐式法和模态叠加方法求解强非线性时域水弹性问题设计方法</a> <b>[P]</b> . <span> 中国专利： CN110750833A </span> <span> . 2020-02-04</span> </div> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/patent-detail/06120109674003.html">一种在视觉问答场景中提高问题前提可信度的方法</a> <b>[P]</b> . <span> 中国专利： CN107169111A </span> <span> . 2017-09-15</span> </div> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/patent-detail/06130413716502.html">MULTISCALE VARIABLE DOMAIN DECOMPOSITION METHOD AND SYSTEM FOR IRIS IDENTIFICATION</a> <b>[P]</b> . <span> 外国专利：  EP1820141B1 </span> <span> . 2016-02-24</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：虹膜识别的多尺度可变域分解方法和系统 </span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/patent-detail/06130422497892.html">MULTISCALE VARIABLE DOMAIN DECOMPOSITION METHOD AND SYSTEM FOR IRIS IDENTIFICATION</a> <b>[P]</b> . <span> 外国专利：  EP1820141A4 </span> <span> . 2012-07-18</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：虹膜识别的多尺度可变域分解方法和系统 </span> </p> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/patent-detail/06130422697588.html">MULTISCALE VARIABLE DOMAIN DECOMPOSITION METHOD AND SYSTEM FOR IRIS IDENTIFICATION</a> <b>[P]</b> . <span> 外国专利：  CA2588275C </span> <span> . 2012-03-20</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：虹膜识别的多尺度可变域分解方法和系统 </span> </p> </li> </ul> </div> </div> </div> <div class="theme cardcommon" style="overflow: auto;display:none"> <h3 class="all_title" id="enpatent55">相关主题</h3> <ul id="subject"> </ul> </div> </div> </div> </div> <div class="right rightcon"> <div class="details_img cardcommon clearfix" style="margin-bottom: 10px;display:none;" > </div> </div> </div> <div id="thesis_get_original1" class="downloadBth" style="bottom: 19px;z-index: 999;" onclick="ywcd('0704023921268','4',7,2,1,'',this,24)" class="delivery" prompt="010401" title="通过人工服务将文献原文发送至邮箱" >获取原文</div> <div class="journalsub-pop-up" style="display: none"> <div class="journal-sub"> <h2>期刊订阅</h2> <img src="https://cdn.zhangqiaokeyan.com/img/loginclose.png" alt="" onclick="$('.journalsub-pop-up').hide()"> <p class="pardon">抱歉，该期刊暂不可订阅，敬请期待！</p> <p class="current">目前支持订阅全部北京大学中文核心（2020）期刊目录。</p> <div style="display: flex;margin-top: 69px;justify-content: space-between;"> <div class="no-sub" onclick="$('.journalsub-pop-up').hide()">暂不订阅</div> <div class="other-sub" onclick="continueSub('from=pc-detail')">继续订阅其他期刊</div> </div> </div> </div> <div class="right_btn"> <ul> <li class="gouwuche">  </li> <li class="yijian"> <a href="javascript:void(0);" onclick="link_analysis('/mycenter/auth/complaint.html',this)">意见反馈</a> </li> <li class="top"> <a href="javascript:scrollTo(0,0);">回到顶部</a> </li> <li class="shouye"> <a href="/">回到首页</a> </li> </ul> </div> <div class="xllindexfooter"> <div class="xllindexfootercenter"> <div class="xllindexfooterleft left" > <div class="xllindexfooterleftli"> <ul> <li><a href="/about.html">关于掌桥</a></li> <li><a href="/help/helpmap.html">资源导航</a></li> <li><a href="/help/helpguide.html">新手指南</a></li> <li><a href="/help/helpcenter.html">常见问题</a></li> <li><a href="/sitemap.html">网站地图</a></li> <li><a href="/help/helpcenter.html?type=9">版权声明</a></li> </ul> </div> <div class="xllindexfooterleft"> <p class="xllindexfooterlefteamil">客服邮箱：kefu@zhangqiaokeyan.com</p> <div class="xllindexfooterlefttcp"> <div class="xllindexfooterpoliceiimg"></div> <div class="xllindexfooterpoliceispan"> <span>京公网安备：11010802029741号 </span> <span>ICP备案号：<a href="https://beian.miit.gov.cn" rel="nofollow" target="_blank">京ICP备15016152号-6</a></span> <span>六维联合信息科技 (北京) 有限公司©版权所有</span> </div> </div> </div> </div> <div class="xllindexfooterright left"> <ul> <li> <p style="font-weight: bold;">客服微信</p> <div></div> </li> <li> <p style="font-weight: bold;">服务号</p> <div></div> </li> </ul> </div> </div> </div> <span id="0704023921268down" data-source="7," data-out-id="lWD78VvA3m7FL5I2bb+DpuugveYuqaQGL3v1vdBcnUX1BP2BMmsIpKUSZwdhRTe5," data-f-source-id="7" data-title="Domain decomposition preconditioners for multiscale problems in linear elasticity" data-price="20" data-site-name="" data-transnum="24" style="display:none;"></span> <input type="hidden" value="4" id="sourcetype"> <input type="hidden" value="26104" id="journalid"> <input type="hidden" value="1" id="inyn_provide_service_level"> <input type="hidden" value="https://cdn.zhangqiaokeyan.com" id="imgcdn"> <input type="hidden" value="1" id="isdeatail"> <input type="hidden" value="" id="syyn_indexed_database"> <input type="hidden" value="" id="servicetype"> <input type="hidden" id="pagename" value="Domain decomposition preconditioners for multiscale problems in linear elasticity"/> <input type="hidden" value="thesis_get_original" id="pageIdentification"> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/jquery-1.12.4.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/lwlh_ajax.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/zq.js?v=5.7.7"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/common.js?v=5.7.7"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/jquery.cookie.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/top.js?v=5.7.7"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/tip.js?v=5.7.7"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/login.js?v=5.7.7"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/down.js?v=5.7.7"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/search.js?v=5.7.7"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/searchtype.js?v=5.7.7"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/user/regist.js?v=5.7.7"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/zxs_solor/detail.js?v=5.7.7"></script> <script type="text/javascript" src="https://www.zhangqiaokeyan.com/statistics/static/pagecollection.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/tj.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/pushbaidu.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/common/history.js"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/util/cookie.js?v=5.7.7"></script> <script type="text/javascript" src="https://cdn.zhangqiaokeyan.com/js/weipu/weipu.js?v=5.7.7"></script> </body> <script> $(function(){ var weiPuStatus = getCookie('WeiPuStatus'); if(weiPuStatus){ tipWeiPuStatus(weiPuStatus); delCookie('WeiPuStatus'); } getFacetKeywordVoInId(); var sourcetype = $("#sourcetype").val(); var inyn_provide_service_level = $("#inyn_provide_service_level").val(); if((sourcetype ==1||sourcetype==4)&&inyn_provide_service_level!=4){ getJournal(); } }) </script> </html>