Picosecond scale experimental verification of a globally convergent algorithm for a coefficient inverse problem

MV Klibanov, MA Fiddy, L Beilina, N Pantong… - Inverse …, 2010 - iopscience.iop.org
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 …

Reconstruction of dielectrics from experimental data via a hybrid globally convergent/adaptive inverse algorithm

L Beilina, MV Klibanov - Inverse Problems, 2010 - iopscience.iop.org
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 …

Reconstruction of the refractive index from experimental backscattering data using a globally convergent inverse method

NT Thanh, L Beilina, MV Klibanov, MA Fiddy - SIAM Journal on Scientific …, 2014 - SIAM
The problem to be studied in this work is within the context of coefficient identification
problems for the wave equation. More precisely, we consider the problem of reconstruction …

Blind backscattering experimental data collected in the field and an approximately globally convergent inverse algorithm

AV Kuzhuget, L Beilina, MV Klibanov… - Inverse …, 2012 - iopscience.iop.org
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 …

Quantitative image recovery from measured blind backscattered data using a globally convergent inverse method

AV Kuzhuget, L Beilina, MV Klibanov… - IEEE transactions on …, 2012 - ieeexplore.ieee.org
The goal of this paper is to introduce the application of a globally convergent inverse
scattering algorithm to estimate dielectric constants of targets using time-resolved …

[图书][B] Approximate global convergence and adaptivity for coefficient inverse problems

L Beilina, MV Klibanov - 2012 - books.google.com
Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems is the first
book in which two new concepts of numerical solutions of multidimensional Coefficient …

Single measurement experimental data for an inverse medium problem inverted by a multi-frequency globally convergent numerical method

AE Kolesov, MV Klibanov, LH Nguyen… - Applied Numerical …, 2017 - Elsevier
The recently developed globally convergent numerical method for an inverse medium
problem with the data resulting from a single measurement, proposed in [23], is tested on …

A numerical method to solve a phaseless coefficient inverse problem from a single measurement of experimental data

MV Klibanov, NA Koshev, DL Nguyen, LH Nguyen… - SIAM Journal on Imaging …, 2018 - SIAM
The goal of this paper is to develop a globally convergent numerical method for the inverse
problem which would work with the optical experimental data collected by this research …

Global convergence for a 1-D inverse problem with application to imaging of land mines

AV Kuzhuget, MV Klibanov - Applicable Analysis, 2010 - Taylor & Francis
A new globally convergent numerical method is developed for a 1-D coefficient inverse
problem for a hyperbolic partial differential equation (PDE). The back reflected data are …

Numerical solution of a coefficient inverse problem with multi-frequency experimental raw data by a globally convergent algorithm

DL Nguyen, MV Klibanov, LH Nguyen… - Journal of …, 2017 - Elsevier
We analyze in this paper the performance of a newly developed globally convergent
numerical method for a coefficient inverse problem for the case of multi-frequency …