Andrey V. Kuzhuget, Larisa Beilina, Michael V. Klibanov and Vladimir G. Romanov
Approximate global convergence and quasi-reversibility for a coefficient inverse problem with backscattering data
(804K, pdf)

ABSTRACT.  A numerical method with the approximate global convergence property is developed for a 3-D Coefficient Inverse Problem for a hyperbolic PDE with the backscattering data. An important part of this technique is the quasi-reversibility method. Approximate global convergence theorem is proven. Results of two numerical experiments are presented.