A new globally convergent numerical method is developed for a multidimensional coefficient
inverse problem for a hyperbolic PDE with applications in acoustics and electromagnetics …

This study focuses on the development of efficient methods for solving inverse problems of
ultrasound tomography as coefficient inverse problems for the wave equation. The inverse …

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 rigorously derive energy estimates for the second order vector wave equation with
gauge condition for the electric field with non-constant electric permittivity function. This …

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 …

A synthesis of a globally convergent numerical method for a coefficient inverse problem and
the adaptivity technique is presented. First, the globally convergent method provides a good …

We consider a coefficient inverse problem for Maxwell's system in 3-D. The coefficient of
interest is the dielectric permittivity function. Only backscattering single measurement data …

Scanning acoustic microscopy based on focused ultrasound waves is a promising new tool
in medical imaging. In this work we apply an adaptive hybrid FEM/FDM (finite element …