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MULTIGRID ALGORITHM FOR THE COUPLING SYSTEM OF NATURAL BOUNDARY ELEMENT METHOD AND FINITE ELEMENT METHOD FOR UNBOUNDED DOMAIN PROBLEMS
  • ISSN号：0254-9409
  • 期刊名称：《计算数学：英文版》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：[1]School of Mathematical Sciences and LPMC, Nankai University , Tianjin 800071, China, [2]LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China
  • 相关基金：This work is supported by the Nationsl Basic Research Program of China under the grant 2005CB321701, the National Natural Science Foundation of China under the grant 10531080 and 10601045, and the Research Starting Fund of Nankai University.
作者： Sheng Zhang[1], Dehao Yu[2]
关键词： 多栅算法, 有限元分析, 边界元法, 微分方程, 离散化, Multigird algorithm, Finite element method, Boundary element method, Coupling, Unbounded domain problem.
中文摘要：

在这篇论文，一些 V 周期多，格子算法为由联合自然边界元素方法和有限元素方法从 Dirichlet 外面的问题的 discretization 产生的联合系统被介绍。这些的集中多，格子算法甚至被获得，仅仅在所有层次上变光滑。集中的率被发现层次的数字和所有层次的网孔尺寸的独立人士一致地围住，它显示那这些多格子算法是最佳的。一些数字结果也被报导。

英文摘要：

In this paper, some V-cycle multigrid algorithms are presented for the coupling system arising from the discretization of the Dirichlet exterior problem by coupling the natural boundary element method and finite element method. The convergence of these multigrid algorithms is obtained even with only one smoothing on all levels. The rate of convergence is found uniformly bounded independent of the number of levels and the mesh sizes of all levels, which indicates that these multigrid algorithms are optimal. Some numerical results are also reported.

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期刊信息
  • 《计算数学：英文版》
  • 主管单位:
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：
  • 地址：北京2719信箱
  • 邮编：100080
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：0254-9409
  • 国内统一刊号：ISSN：11-2126/O1
  • 邮发代号:
  • 获奖情况:
  • 中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国科学引文索引（扩展库）,英国科学文摘数据库,日本日本科学技术振兴机构数据库
  • 被引量:193