The theory of ill-posed problems originated in an unusual way. As a rule, a new concept is a
subject in which its creator takes a keen interest. The concept of ill-posed problems was …

Inverse problems and Carleman estimates Page 1 Inverse Problems Inverse problems and
Carleman estimates To cite this article: MV Klibanov 1992 Inverse Problems 8 575 View the …

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 …

We present in this paper a novel numerical reconstruction method for solving a three-
dimensional inverse scattering problem with scattering data generated by a single direction …

In this paper, a new asymptotic-numerical approach to solving an inverse boundary value
problem for a nonlinear singularly perturbed parabolic equation with time-periodic …

We propose a new numerical method to reconstruct the isotropic electrical conductivity from
measured restricted Dirichlet-to-Neumann map data in electrical impedance tomography …

By our definition,“restricted Dirichlet-to-Neumann (DN) map” means that the Dirichlet and
Neumann boundary data for a coefficient inverse problem (CIP) are generated by a point …

A convexification-based numerical method for a coefficient inverse problem for a parabolic
PDE is presented. The key element of this method is the presence of the so-called Carleman …

For the first time, we develop in this paper the globally convergent convexification numerical
method for a coefficient inverse problem for the three-dimensional Helmholtz equation for …

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 …