A D-N alternating algorithm for exterior 3-D Poisson problem with prolate spheroid boundary

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• 作者：Xuqiong Luo ; ^a ; ^{luoxuqiong@163.com" class="auth_mail" title="E-mail the corresponding author} ; Qikui Du^b ; ^{duqikui@njnu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Libin Liu^c
• 关键词：D&ndash ; N alternating algorithm ; Exterior 3-D Poisson problem ; Prolate spheroid ; Artificial boundary
• 刊名：Applied Mathematics and Computation
• 出版年：2015
• 出版时间：15 October 2015
• 年：2015
• 卷：269
• 期：Complete
• 页码：252-264
• 全文大小：549 K

文摘

In this paper, a D–N alternating algorithm based on the natural boundary reduction (NBR) is discussed to solve exterior three dimensional (3-D) Poisson problem with prolate spheroid artificial boundary. By the principle of the natural boundary reduction, we obtain the natural integral equation on prolate spheroid artificial boundary, suggest a D–N alternating algorithm, and analysis its convergence of the algorithm. Finally, some numerical examples are presented to show the effectiveness of this method.