A Schwarz alternating algorithm for a three-dimensional exterior harmonic problem with prolate spheroid boundary
A Schwarz alternating algorithm for a three-dimensional exterior harmonic problem with prolate spheroid boundary
复制标题
长椭球边界三维外调和问题的Schwarz交替算法
DOI：
10.1016/j.camwa.2013.02.004
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发表时间：
2013-04-01
影响因子：
2.9
通讯作者：
He, Tianshu
中科院分区：
文献类型：
--
作者：
Luo, Xuqiong;Du, Qikui;He, Tianshu
在本文中，我们研究了一种针对具有长球体边界的三维外部调和问题的施瓦茨交替算法。基于自然边界归化，构建了该算法并讨论了其收敛性。在有界子区域和一个典型的无界子区域中交替应用有限元方法和自然边界元方法来求解该问题。针对一个典型区域详细分析了收敛速度。给出了两个数值例子以证明所提方法的有效性和准确性。© 2013爱思唯尔有限公司。保留所有权利。
In this paper, we investigate a Schwarz alternating algorithm for a three-dimensional exterior harmonic problem with prolate spheroid boundary. Based on natural boundary reduction, the algorithm is constructed and its convergence is discussed. The finite element method and the natural boundary element method are alternatively applied to solve the problem in a bounded subdomain and a typical unbounded subdomain. The convergence rate is analyzed in detail for a typical domain. Two numerical examples are presented to demonstrate the effectiveness and accuracy of the proposed method. (C) 2013 Elsevier Ltd. All rights reserved.