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. 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 presented, including the one for a quite heterogeneous medium.
@article{arxiv.1209.3544,
title = {A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data},
author = {Larisa Beilina and Michael V. Klibanov},
journal= {arXiv preprint arXiv:1209.3544},
year = {2012}
}