A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data
Artikel i vetenskaplig tidskrift, 2012

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.

Coefficient inverse problems

approximate global convergence

numerical-method

new approximate mathematical

Författare

Larisa Beilina

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

M. V. Klibanov

The University of North Carolina System

Journal of Inverse and Ill-Posed Problems

0928-0219 (ISSN) 1569-3945 (eISSN)

Vol. 20 4 513-565

Ämneskategorier (SSIF 2011)

Matematik

DOI

10.1515/jip-2012-0063

Mer information

Senast uppdaterat

2025-04-04