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Licensed Unlicensed Requires Authentication Published by De Gruyter October 2, 2012

A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data

Larisa Beilina and Michael V. Klibanov

Abstract.

An approximately globally convergent numerical method for a 3d coefficient inverse problem for a hyperbolic equation with backscattering data is presented. A new approximate mathematical model is presented as well. An approximation is used only on the first iteration and amounts to the truncation of a certain asymptotic series. A significantly new element of the convergence analysis is that the so-called “tail functions” are estimated. Numerical results in 2d and 3d cases are discussed, including the one for a quite heterogeneous medium.

Received: 2012-08-03
Published Online: 2012-10-02
Published in Print: 2012-10-01

© 2012 by Walter de Gruyter Berlin Boston

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