ON THE NUMERICAL-SOLUTION OF THE 3-DIMENSIONAL INVERSE OBSTACLE SCATTERING PROBLEM

被引：32

作者：

KRESS, R ^{[1
]}

ZINN, A ^{[1
]}

机构：

[1] UNIV GOTTINGEN,INST NUMER & ANGEW MATH,W-3400 GOTTINGEN,GERMANY

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1992年 / 42卷 / 01期

关键词：

TIME-HARMONIC ACOUSTIC OBSTACLE SCATTERING; HELMHOLTZ EQUATION; INVERSE PROBLEM; OPTIMIZATION METHOD; NUMERICAL APPROXIMATION;

D O I：

10.1016/0377-0427(92)90162-Q

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The inverse problem under consideration is to determine the shape of an impenetrable sound-soft obstacle from the knowledge of a time-harmonic incident plane acoustic wave and far-field or near-field measurements of the scattered wave. We present a method for the approximate solution which avoids the solution of the corresponding direct problem and stabilizes the ill-posed inverse problem by reformulating it as a nonlinear optimization problem. The numerical implementation of the method is described and some three-dimensional examples of reconstructions are given.

引用

页码：49 / 61

页数：13

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