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 …

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 globally convergent numerical method for a 3-Dimensional Coefficient Inverse Problem for
a hyperbolic equation is presented. A new globally convergent theorem is proven. It is …

This study concerns a posteriori error estimates in a globally convergent numerical method
for a hyperbolic coefficient inverse problem. Using the Laplace transform the model problem …

A globally convergent numerical method is developed for a 2-d Coefficient Inverse Problem
for a hyperbolic PDE with the backscattering data. An important part of this technique is the …

This note is concerned with the identification of the unknown diffusion coefficient for a
parabolic equation. It introduces an iterative algorithm that can be used to recover the …

A globally convergent numerical method for a multidimensional Coefficient Inverse Problem
for a hyperbolic equation is presented. It is shown that this technique provides a good …