5 papers
An inverse problem of a simultaneous reconstruction of the dielectric constant and conductivity from experimental backscattering data
Vo Anh Khoa, Grant W. Bidney, Michael V. Klibanov +4
This report extends our recent progress in tackling a challenging 3D inverse scattering problem governed by the Helmholtz equation. Our target application is to reconstruct dielect…
Convexification for an Inverse Problem for a 1D Wave Equation with Experimental Data
Alexey Smirnov, Michael Klibanov, Anders Sullivan +1
The forward problem here is the Cauchy problem for a 1D hyperbolic PDE with a variable coefficient in the principal part of the operator. That coefficient is the spatially distribu…
Convexification and experimental data for a 3D inverse scattering problem with the moving point source
Vo Anh Khoa, Grant W. Bidney, Michael V. Klibanov +4
Inverse scattering problems of the reconstructions of physical properties of a medium from boundary measurements are substantially challenging ones. This work aims to verify the pe…
A globally convergent numerical method for a 1-d inverse medium problem with experimental data
Michael V. Klibanov, Loc H. Nguyen, Anders Sullivan +1
In this paper, a reconstruction method for the spatially distributed dielectric constant of a medium from the back scattering wave field in the frequency domain is considered. Our…
The Gel'fand-Levitan-Krein method and the globally convergent method for experimental data
Andrey L. Karchevsky, Michael V. Klibanov, Lam Nguyen +2
Comparison of numerical performances of two methods for coefficient inverse problems is described. The first one is the classical Gel'fand-Levitan-Krein equation method, and the se…