Inverse problems arise in practical applications whenever one needs to deduce unknowns
from observables. This monograph is a valuable contribution to the highly topical field of …

A Transformer-based deep direct sampling method is proposed for electrical impedance
tomography, a well-known severely ill-posed nonlinear boundary value inverse problem. A …

We present the discovery of a novel and intriguing global geometric structure of the (interior)
transmission eigenfunctions associated with the Helmholtz system. It is shown in generic …

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 …

This paper is concerned with the electromagnetic inverse scattering problem that aims to
determine the location and shape of anisotropic scatterers from far field data (at a fixed …

In this paper, a new qualitative inverse scattering method for microwave imaging is
proposed. The presented method is inspired by the previously introduced orthogonality …

In this contribution, we consider MUltiple SIgnal Classification (MUSIC)-type algorithm for a
non-iterative microwave imaging of small and arbitrary shaped extended anomalies located …

A version of the so-called “convexification” numerical method for a coefficient inverse
scattering problem for the 3D Helmholtz equation is developed analytically and tested …

In this work, we focus on the inverse medium scattering problem (IMSP), which aims to
recover unknown scatterers based on measured scattered data. Motivated by the efficient …

An inverse scattering problem for the 3-dimensional acoustic equation in time domain is
considered. The unknown spatially distributed speed of sound is the subject of the solution …