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

Xuqiong Luo, Qikui Du and Libin Liu

Applied Mathematics and Computation, 2015, vol. 269, issue C, 252-264

Abstract: 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.

Keywords: D–N alternating algorithm; Exterior 3-D Poisson problem; Prolate spheroid; Artificial boundary (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:269:y:2015:i:c:p:252-264

DOI: 10.1016/j.amc.2015.07.063

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