Iterative methods for the reconstruction of an inverse potential problem

被引：94

作者：

Hettlich, F ^{[1
]}

Rundell, W ^{[1
]}

机构：

[1] TEXAS A&M UNIV,DEPT MATH,COLLEGE STN,TX 77843

来源：

INVERSE PROBLEMS | 1996年 / 12卷 / 03期

关键词：

D O I：

10.1088/0266-5611/12/3/006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers an inverse potential problem which seeks to recover the shape of an obstacle separating two different densities by measurements of the potential. A representation for the domain derivative of the corresponding operator is established and this allows the investigation of several iterative methods for the solution of this ill-posed problem.

引用

页码：251 / 266

页数：16

共 15 条

[1]

BAKUSHINSKII AB, 1992, COMP MATH MATH PHYS+, V21, P1353

[2]

BINDER A, 1996, IN PRESS J INVERSE I

[3] COMPUTING A STABLE LEAST SQUARES SOLUTION TO INVERSE PROBLEM FOR A PLANAR NEWTONIAN POTENTIAL [J].