| 基于GMRES(m)法的双连通区域数值保角变换的计算法 |
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| 引用本文： | 吕毅斌,赖富明,王樱子,武德安.基于GMRES(m)法的双连通区域数值保角变换的计算法[J].数学杂志,2016,36(5):1028-1034. |
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| 作者姓名： | 吕毅斌 赖富明 王樱子 武德安 |
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| 作者单位： | 昆明理工大学理学院, 云南 昆明 650500,昆明理工大学理学院, 云南 昆明 650500,昆明理工大学计算中心, 云南 昆明 650500,电子科技大学数学科学学院, 四川 成都 611731 |
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| 基金项目： | 国家自然科学基金资助(11461037). |
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| 摘 要： | 本文研究了基于模拟电荷法的双连通区域的数值保角变换问题.利用限制Krylov子空间最大维数的算法–GMRES(m)算法,求解基于模拟电荷法的双连通区域数值保角变换中的约束方程,获得了模拟电荷和变换半径,构造了近似保角变换函数.数值实验表明了本文算法的有效性.
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| 关 键 词： | 模拟电荷法 双连通区域 Krylov子空间 GMRES(m)法 |
| 收稿时间： | 2015/7/17 0:00:00 |
| 修稿时间： | 2016/1/19 0:00:00 |
THE GMRES(M) METHOD FOR NUMERICAL CONFORMAL MAPPING OF DOUBLY-CONNECTED DOMAIN |
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| LU Yi-bin,LAI Fu-ming,WANG Ying-zi and WU De-an.THE GMRES(M) METHOD FOR NUMERICAL CONFORMAL MAPPING OF DOUBLY-CONNECTED DOMAIN[J].Journal of Mathematics,2016,36(5):1028-1034. |
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| Authors: | LU Yi-bin LAI Fu-ming WANG Ying-zi and WU De-an |
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| Institution: | School of Science, Kunming University of Science and Technology, Kunming 650500, China,School of Science, Kunming University of Science and Technology, Kunming 650500, China,Computer Center, Kunming University of Science and Technology, Kunming 650500, China and School of Mathematical Sciences, University of Electronic Science and Technology, Chengdu 611731, China |
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| Abstract: | In this paper,we study the GMRES (m) method for numerical conformal mapping based on charge simulation method of doubly-connected domain.In this method,using the GMRES(m) method which limited the number of Krylov subspace''s maximum dimension,the linear equation of charge simulation method is solved,and the approximate conformal mapping function is constructed by using the charges and conformal mapping radius.Numerical results show that the proposed method is effective. |
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| Keywords: | charge simulation method doubly-connected domains Krylov subspace GMRES(m)method |
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