Carleman estimates for global uniqueness, stability and numerical methods for coefficient
inverse problems Page 1 J. Inverse Ill-Posed Probl. 21 (2013), 477 – 560 DOI 10.1515/jip-2012-0072 …

A new framework of the functional analysis is developed for the finite element adaptive
method (adaptivity) for the Tikhonov regularization functional for some ill-posed problems …

An approximately globally convergent numerical method for a 1D coefficient inverse
problem for a hyperbolic PDE is applied to image dielectric constants of targets from blind …

We investigate the mathematical model of the 2D acoustic waves propagation in a
heterogeneous domain. The hyperbolic first order system of partial differential equations is …

In this article we consider a mathematical model of interpretation of a geoelectric section
based on georadar data. One of the reasons preventing the spread of GPR technologies is …

A globally convergent algorithm by the first and third authors for a 3D hyperbolic coefficient
inverse problem is verified on experimental data measured in the picosecond scale regime …

We investigate the mathematical modeling of the 2D acoustic waves propagation, based on
the conservation laws. The hyperbolic first-order system of partial differential equations is …

The inverse conductivity problem in electrical impedance tomography involves the solving of
a nonlinear and under-determined system of equations. This paper presents a new …

We consider a two-stage numerical procedure for imaging of objects buried in dry sand
using time-dependent backscattering experimental radar measurements. These …

The validity of the synthesis of a globally convergent numerical method with the adaptive
FEM technique for a coefficient inverse problem is verified on time-resolved experimental …