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无界区域Stokes问题非重叠型区域分解算法及其收敛性
  • ISSN号：0254-7791
  • 期刊名称：《计算数学》
  • 时间：0
  • 分类：O241.82[理学—计算数学;理学—数学]
  • 作者机构：[1]北方工业大学理学院,北京100144, [2]中国科学院数学与系统科学研究院,北京100190
  • 相关基金：北京市自然科学基金（1072009）和国家自然科学基金（10531080）及国家重点基础研究发展计划（2005CB321701）资助.
作者： 郑权[1], 王冲冲[1], 余德浩[2]
关键词： 无界区域, 区域分解, STOKES问题, D—N交替法, 收敛性, Unbounded domain, domain decomposition, Stokes problem, D-N alter- nating algorithm, convergence
中文摘要：

本文研究无界区域Stokes方程外问题的利用有限元法和自然边界归化的非重叠型区域分解算法，此方法对无界区域Stokes问题非常有效．给出连续和离散情形的D—N算法及其收敛性分析，得到算法收敛的充要条件及充分条件，并得到最优的松弛因子和压缩因子，最后给出数值算例予以验证．

英文摘要：

In this paper, a non-overlapping domain decomposition method by using of the FEM and the natural boundary reduction is investigated for solving the exterior boundary value problems of the Stokes equation. This method is very effective for the Stokes problem over unbounded domains especially. The D-N alternating algorithm （including continuous and discrete form） and its convergence analysis are presented, also the necessary and sufficient condition for convergence of this method is gained, then the optimal relaxation factor is obtained, finally some numerical results are illustrated.

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期刊信息
  • 《计算数学》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：周爱辉
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100190
  • 邮箱：
  • 电话：010-62555115
  • 国际标准刊号：ISSN：0254-7791
  • 国内统一刊号：ISSN：11-2125/O1
  • 邮发代号:2-521
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4140