Global convergence for a 1-D inverse problem with application to imaging of land mines

被引：14

作者：

Kuzhuget, Andrey V. ^{[1
]}

Klibanov, Michael V. ^{[1
]}

机构：

[1] Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA

来源：

APPLICABLE ANALYSIS | 2010年 / 89卷 / 01期

关键词：

inverse problems; globally convergent method; quasi-reversibility method; Carleman estimate; QUASI-REVERSIBILITY METHOD; THERMOACOUSTIC TOMOGRAPHY; CAUCHY-PROBLEM; SOLVE;

D O I：

10.1080/00036810903481166

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new globally convergent numerical method is developed for a 1-D coefficient inverse problem for a hyperbolic partial differential equation (PDE). The back reflected data are used. A version of the quasi-reversibility method is proposed. A global convergence theorem is proven via a Carleman estimate. The results of numerical experiments are presented.

引用

页码：125 / 157

页数：33

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