7 papers
Numerical recovery of the piecewise constant leading coefficient of an elliptic equation
Aleksandr E. Kolesov, Petr N. Vabishchevich
We propose a numerical algorithm for the reconstruction of a piecewise constant leading coefficient of an elliptic problem. The inverse problem is reduced to a shape reconstruction…
Convexification method for a coefficient inverse problem and its performance for experimental backscatter data for buried targets
Michael V. Klibanov, Aleksandr E. Kolesov, Dinh-Liem Nguyen
We present in this paper a novel numerical reconstruction method for solving a 3D coefficient inverse problem with scattering data generated by a single direction of the incident p…
A new version of the convexification method for a 1-D coefficient inverse problem with experimental data
Michael V. Klibanov, Aleksandr E. Kolesov, Anders Sullivan +1
A new version of the convexification method is developed analytically and tested numerically for a 1-D coefficient inverse problem in the frequency domain. Unlike the previous vers…
Convexification of a 3-D coefficient inverse scattering problem
Michael V. Klibanov, Aleksandr E. Kolesov
A version of the so-called "convexification" numerical method for a coefficient inverse scattering problem for the 3D Hemholtz equation is developed analytically and tested numeric…
Globally strictly convex cost functional for a 1-D inverse medium scattering problem with experimental data
Michael V. Klibanov, Aleksandr E. Kolesov, Lam Nguyen +1
A new numerical method is proposed for a 1-D inverse medium scattering problem with multi-frequency data. This method is based on the construction of a weighted cost functional. Th…
Single measurement experimental data for an inverse medium problem inverted by a multi-frequency globally convergent numerical method
Aleksandr E. Kolesov, Michael V. Klibanov, Loc H. Nguyen +2
The recently developed globally convergent numerical method for an inverse medium problem for the Helmholtz equation is tested on experimental data. The data were originally collec…