A numerical algorithm for solving 2D inverse obstacle scattering

被引：0
|
作者：
Pan, WF
Wu, DH
Li, ZQ
机构：
[1] Wuhan Univ Technol, Dept Math, Wuhan 430070, Peoples R China
[2] Wuhan Univ Technol, Dept Mech, Wuhan 430070, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2003年 / 4卷 / 04期
关键词：
indicator function; sampling method; ill-posed integral equation;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The reconstruction of inclusions is an important problem in engineering from the knowledge of the time harmonic incident electromagnetic wave and the far-field or near-field of the scattered wave with frequency in the resonance region. In the paper, the development of various well-known methods since 1986 is briefly reviewed, the two-dimensional Helmholtz equation, taking into account cylindrical bodies, is studied. An integral equation is established by Green's formulation for inverse obstacle scattering considering both the interior and the exterior problems of the Helmholtz equation, the existence, uniqueness and solvability of the integral equation are given. Some numerical examples are given showing its practicality and feasibility.
引用
收藏
页码：395 / 404
页数：10
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