THE DOMAIN DERIVATIVE AND 2 APPLICATIONS IN INVERSE SCATTERING-THEORY

被引：184

作者：

KIRSCH, A

机构：

[1] Inst. fur Angewandte Math., Erlangen-Nurnberg Univ.

来源：

INVERSE PROBLEMS | 1993年 / 9卷 / 01期

关键词：

D O I：

10.1088/0266-5611/9/1/005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The first part of this paper recalls the notion of the domain derivative of a functional. The existence and a characterization of the domain derivative of the far-field pattern for a scattering problem with Dirichlet boundary condition is proved. The second part uses this characterization for an efficient implementation of a Gauss-Newton method for solving the inverse obstacle scattering problem. The third part deals with the sensitivity of the linearized obstacle problem.

引用

页码：81 / 96

页数：16

共 25 条

[1]

COLTON D, 1986, SIAM J APPL MATH, V46, P506, DOI 10.1137/0146034

[2] UNIQUENESS THEOREMS FOR THE INVERSE PROBLEM OF ACOUSTIC SCATTERING [J].