| 球面上Poisson方程的两子域加性Schwarz算法 |
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| 引用本文： | 陈昊,曾金平,任明慧.球面上Poisson方程的两子域加性Schwarz算法[J].科学技术与工程,2005,5(19):1324-1325. |
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| 作者姓名： | 陈昊 曾金平 任明慧 |
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| 作者单位： | 湖南大学数学与计量经济学院,长沙,410082;湖南文理学院数学系,常德,415000 |
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| 基金项目： | 国家自然科学基金（10371035）资助 |
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| 摘 要： | 研究求解球面上的Poisson方程的加性Schwarz算法。对于两子域加性Schwarz算法,通过选取最优参数得到子域内边界上的优化传输条件,由此得到的最优加性算法可大大加快收敛的速度;而且,算法具有有限步收敛性。
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| 关 键 词： | 加性Schwarz算法 球极坐标 Poisson方程 |
| 文章编号： | 1671-1815(2005)19-1324-02 |
| 收稿时间： | 06 8 2005 12:00AM |
| 修稿时间： | 2005年6月8日 |
The Optimal Additive Schwarz Algorithm with Two Sub-domains for Solving Poisson Equation on the Sphere |
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| CHEN Hao,ZENG Jinping,REN Minghui College of Mathematics and Econometrics,Hunan University,Changsh,.The Optimal Additive Schwarz Algorithm with Two Sub-domains for Solving Poisson Equation on the Sphere[J].Science Technology and Engineering,2005,5(19):1324-1325. |
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| Authors: | CHEN Hao ZENG Jinping REN Minghui College of Mathematics and Econometrics Hunan University Changsh |
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| Institution: | CHEN Hao,ZENG Jinping,REN Minghui College of Mathematics and Econometrics,Hunan University,Changsha 410082, Department of Mathematics,Hunan University of Arts and Science,Changde 415000 |
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| Abstract: | The optimal additive Schwarz algorithm for solving Poisson equation on the sphere is considered. For additive Schwarz algorithm with two subdomains, the optimal parameter can use to obtain the optimal transfer conditions on the inner boundaries of the subdomains. The corresponding optimal additive algorithm can accelerate the rate of the convergence. Moreover, the algorithm can terminate in finite steps. |
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| Keywords: | additive Schwarz algorithm spherical polar coordinates Poisson equation |
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