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

摘要

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.