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

Author: Kuzhuget Andrey   Klibanov Michael  

Publisher: Taylor & Francis Ltd

ISSN: 0003-6811

Source: Applicable Analysis, Vol.89, Iss.1, 2010-01, pp. : 125-157

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Abstract

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.