A coupled BEM and FEM for the interior transmission problem in acoustics

被引：33
|
作者：
Hsiao, George C. [2 ]
Liu, Fengshan [3 ]
Sun, Jiguang [3 ]
Xu, Liwei [1 ]
机构：
[1] Rensselaer Polytech Inst, Dept Math Sci, Troy, NY 12180 USA
[2] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA
[3] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 17期
关键词：
Finite element method; Boundary element method; Dirichlet-to-Neumann mapping; Interior transmission problem; Acoustic scattering; DOMAIN DECOMPOSITION METHOD; FINITE-ELEMENT; FORMULATIONS;
D O I：
10.1016/j.cam.2011.05.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The interior transmission problem (ITP) is a boundary value problem arising in inverse scattering theory, and it has important applications in qualitative methods. In this paper, we propose a coupled boundary element method (BEM) and a finite element method (FEM) for the ITP in two dimensions. The coupling procedure is realized by applying the direct boundary integral equation method to define the so-called Dirichlet-to-Neumann (DtN) mappings. We show the existence of the solution to the ITP for the anisotropic medium. Numerical results are provided to illustrate the accuracy of the coupling method. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：5213 / 5221
页数：9
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