The method of fundamental solutions for the identification of a sound-soft obstacle in inverse acoustic scattering

被引：36

作者：

Karageorghis, A. ^{[1
]}

Johansson, B. T. ^{[2
]}

Lesnic, D. ^{[3
]}

机构：

[1] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus

[2] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England

[3] Univ Leeds, Dept Appl Math, Leeds LS2 9JT, W Yorkshire, England

来源：

APPLIED NUMERICAL MATHEMATICS | 2012年 / 62卷 / 12期

关键词：

Inverse problem; Sound-soft obstacle; Acoustic scattering; Method of fundamental solutions; INTEGRAL-EQUATION METHODS; NUMERICAL-SOLUTION; UNIQUENESS; RECONSTRUCTION; FIELD; MFS;

D O I：

10.1016/j.apnum.2012.05.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we propose a simple meshless method of fundamental solutions (MFS) for detecting a sound-soft scatterer embedded in a host acoustic homogeneous medium from the measurement of the far-field pattern of the scattered wave for only one incoming direction. Further, when this measurement is contaminated with noise, we augment the MFS with a nonlinear constrained regularized minimization for obtaining a stable numerical solution of the inverse problem. Numerical results are presented and discussed. (C) 2012 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：1767 / 1780

页数：14

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