| 平面弹性方程外问题的非重叠型区域分解算法 |
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| 引用本文： | 郑权,余德浩. 平面弹性方程外问题的非重叠型区域分解算法[J]. 数值计算与计算机应用, 2000, 21(1): 11-21 |
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| 作者姓名： | 郑权 余德浩 |
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| 作者单位： | 1. 北方工业大学
2. 中国科学院计算数学与科学工程计算研究所, 科学与工程计算国家重点实验 |
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| 基金项目： | 国家自然科学基金及国家攀登计划资助项目 |
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| 摘 要： | １．引言 区域分解算法是八十年代兴起的偏微分方程求解新技术．基于有限元法的区域分解算法对求解有界区域问题行之有效［２，４，９］．边界元方法则是处理无界区域问题的强有力的工具［１，１０，１７］，有限元与边界元耦合法得到广泛应用 ［３，５，７］．近年又发展了基于自然边界归化的区域分解算法，特别适用于无界区域问题［８，１１，１２］．迄今这方面的文章主要是针对二维Ｐｏｉｓｓｏｎ方程及双调和方程的［１３－１６］． 本文讨论平面弹性方程的Ｄｉｒｉｃｈｌｅｔ外边值问题其中Ω是充分光滑闭曲线Г０之外的无界区域，ｕ…
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| 修稿时间： | 1998-07-08 |
A NON-OVERLAPPING DOMAIN DECOMPOSITION METHOD FOR THE EXTERIOR PROBLEM OF PLANE ELASTICITY EQUATION |
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| Zheng Quan,YU De-hao. A NON-OVERLAPPING DOMAIN DECOMPOSITION METHOD FOR THE EXTERIOR PROBLEM OF PLANE ELASTICITY EQUATION[J]. Journal on Numerical Methods and Computer Applications, 2000, 21(1): 11-21 |
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| Authors: | Zheng Quan YU De-hao |
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| Abstract: | In this paper, a non-overlapping domain decomposition method is discussedfor solving the exterior boundary value problem of plane elasticityequation. The exterior domain is naturally decomposed by acircle into a bounded domain and an unbounded domain. With the advantageof the natural boundary reduction, a D-N method is presented. Thismethod is effective and geometric convergent. The convergence rate ofthis iteration is independent of the finite element mesh size, butdependent on the relaxation factor. |
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