Combination of the finite and the boundary element methods for an external boundary value problem of the Poisson equation

被引：1

作者：

Shigeta, T ^{[1
]}

Harayama, T ^{[1
]}

Shirota, K ^{[1
]}

机构：

[1] Ibaraki Univ, Grad Sch Math Sci, Mito, Ibaraki 3108512, Japan

来源：

JOURNAL OF THE CHINESE INSTITUTE OF ENGINEERS | 1999年 / 22卷 / 06期

关键词：

2-D external boundary value problems; iterative FE/BE coupling scheme; Dirichlet-Neumann map;

D O I：

10.1080/02533839.1999.9670513

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A numerical algorithm for an external Dirichlet problem of the Poisson equation is considered. The domain Omega extending to infinity is divided into a bounded subdomain Omega(0) and the unbounded subdomain Omega(1). The finite and the boundary element methods are applied to the boundary value problems in the bounded and the unbounded subdomains, respectively. An iterative scheme using the Dirichlet-Neumann map on the interface partial derivative Omega(1) is presented. The convergence of the scheme is mathematically guaranteed. A simple numerical example shows the effectiveness of our scheme.

引用

页码：777 / 783

页数：7

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