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DOMAIN DECOMPOSITION WITH NONMATCHING GRIDS FOR EXTERIOR TRANSMISSION PROBLEMS VIA FEM AND DTN MAPPING
  • ISSN号：0254-9409
  • 期刊名称：《计算数学：英文版》
  • 时间：0
  • 分类：O24[理学—计算数学;理学—数学]
  • 作者机构：[1]LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China
  • 相关基金：This work was supported by the National Basic Research Program of China under the grant G19990328, 2005CB321701, and the National Natural Science Foundation of China under the grant 10531080.
作者： Ju-e Yang De-hao Yu[1]
关键词： 定义域分解, 自然边界元素, 非匹配栅格, 双重基础, 投射算子, Domain decomposition, Nature boundary element, Nonmatching grids, Weakcontinuity, D-N alternating, Dual basis, Projection operator, Error estimate.
中文摘要：

在这篇论文，我们在飞机为外面的传播问题涉及一个非重叠的领域分解方法(DDM ) 。基于自然边界积分操作员，我们把 DDM 与印射的 Dirichlet-to-Neumann (DtN ) 相结合并且向数字分析提供非匹配格子。接口上的近似答案的弱连续性被一个双基础更多样地强加。我们显示出那这更多样地，空间能产生最佳的错误估计并且获得集中的相应的率。最后，几个数字例子证实理论结果。

英文摘要：

In this paper, we are concerned with a non-overlapping domain decomposition method （DDM） for exterior transmission problems in the plane. Based on the natural boundary integral operator, we combine the DDM with a Dirichlet-to-Neumann （DtN） mapping and provide the numerical analysis with nonmatching grids. The weak continuity of the approximation solutions on the interface is imposed by a dual basis multiplier. We show that this multiplier space can generate optimal error estimate and obtain the corresponding rate of convergence. Finally, several numerical examples confirm the theoretical results.

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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