| 无穷凹角区域椭圆边值问题的重叠型区域分解算法 |
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| 引用本文： | 杨敏,杜其奎.无穷凹角区域椭圆边值问题的重叠型区域分解算法[J].数值计算与计算机应用,2004,25(2):90-99. |
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| 作者姓名： | 杨敏 杜其奎 |
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| 作者单位： | 1. 河海大学理学院,南京,210098
2. 南京师范大学数学与计算机科学学院,南京,210097 |
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| 基金项目： | 南京师范大学自然科学基金，数学与计算机科学学院“211”项目基金 |
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| 摘 要： | §1.引言许多科学和工程计算问题都可归结为无界区域上的偏微分方程边值问题,数值求解无界
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| 修稿时间： | 2002年6月4日 |
AN OVERLAPPING DOMAIN DECOMPOSITION ALGORITHM FOR ELLIPTIC BOUNDARY VALUE PROBLEMS OVER AN INFINITE DOMAIN WITH CONCAVE ANGLES |
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| Yan Min,Du Qikui School of Sciences Hohai University Naniing School of Mathematics and Computer Science Nanjing Normal University Nanjing.AN OVERLAPPING DOMAIN DECOMPOSITION ALGORITHM FOR ELLIPTIC BOUNDARY VALUE PROBLEMS OVER AN INFINITE DOMAIN WITH CONCAVE ANGLES[J].Journal on Numerical Methods and Computer Applications,2004,25(2):90-99. |
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| Authors: | Yan Min Du Qikui School of Sciences Hohai University Naniing School of Mathematics and Computer Science Nanjing Normal University Nanjing |
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| Affiliation: | Yan Min;Du Qikui School of Sciences Hohai University Naniing 210098 School of Mathematics and Computer Science Nanjing Normal University Nanjing 210097 |
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| Abstract: | In this paper, we investigate an overlapping domain decomposition algorithm
for elliptic boundary value problems over an infinite domain with concave angles.
The algorithm is constructed, and its convergence is discussed. The finite element
method and natural boundary element are alternatively applied to solve a bounded
subdomain and a typical unbounded subdomain. It has overcome the difficulty met
in standard domain decomposition method for problems with unbounded domains.
The convergence rate is analysed in details for a typical domain. Finally some
numerical examples are presented to show effectiveness of our method. |
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| Keywords: | infinite concave angle domain domain decomposition algorithm finite element exterior problem |
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