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

2017 ◽  
Vol 120 ◽  
pp. 176-196 ◽  
Author(s):  
Aleksandr E. Kolesov ◽  
Michael V. Klibanov ◽  
Loc H. Nguyen ◽  
Dinh-Liem Nguyen ◽  
Nguyen T. Thành
Keyword(s):  
Experimental Data ◽  
Numerical Method ◽  
Single Measurement ◽  
Globally Convergent ◽  
Inverse Medium ◽  
Inverse Medium Problem

scholarly journals A globally convergent numerical method for a 1-d inverse medium problem with experimental data

2016 ◽  
Vol 10 (4) ◽  
pp. 1057-1085 ◽  
Author(s):  
Michael V. Klibanov ◽  
Loc H. Nguyen ◽  
Anders Sullivan ◽  
Lam Nguyen
Keyword(s):  
Experimental Data ◽  
Numerical Method ◽  
Globally Convergent ◽  
Inverse Medium ◽  
Inverse Medium Problem

scholarly journals A Numerical Method to Solve a Phaseless Coefficient Inverse Problem from a Single Measurement of Experimental Data

2018 ◽  
Vol 11 (4) ◽  
pp. 2339-2367 ◽  
Author(s):  
Michael V. Klibanov ◽  
Nikolay A. Koshev ◽  
Dinh-Liem Nguyen ◽  
Loc H. Nguyen ◽  
Aaron Brettin ◽  
...  
Keyword(s):  
Experimental Data ◽  
Inverse Problem ◽  
Numerical Method ◽  
Coefficient Inverse Problem ◽  
Single Measurement

scholarly journals A globally convergent numerical method for a 3D coefficient inverse problem with a single measurement of multi-frequency data

2018 ◽  
Vol 12 (2) ◽  
pp. 493-523 ◽  
Author(s):  
Michael V. Klibanov ◽  
◽  
Dinh-Liem Nguyen ◽  
Loc H. Nguyen ◽  
Hui Liu ◽  
...  
Keyword(s):  
Inverse Problem ◽  
Numerical Method ◽  
Frequency Data ◽  
Coefficient Inverse Problem ◽  
Single Measurement ◽  
Globally Convergent

Convexity of a discrete Carleman weighted objective functional in an inverse medium scattering problem

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Nguyen Trung Thành
Keyword(s):  
Finite Number ◽  
Scattering Problem ◽  
One Dimensional ◽  
Globally Convergent ◽  
Convergent Method ◽  
Inverse Medium ◽  
Inverse Medium Scattering ◽  
Objective Functional

AbstractWe investigate a globally convergent method for solving a one-dimensional inverse medium scattering problem using backscattering data at a finite number of frequencies. The proposed method is based on the minimization of a discrete Carleman weighted objective functional. The global convexity of this objective functional is proved.

scholarly journals Determination of parameters for Cauchy’s problem for systems of ODEs with application to biological modelling

BIOMATH ◽  
2016 ◽  
Vol 5 (1) ◽  
pp. 1604231
Author(s):  
A.N. Pete ◽  
Peter Mathye ◽  
Igor Fedotov ◽  
Michael Shatalov
Keyword(s):  
Experimental Data ◽  
Mathematical Models ◽  
Least Squares ◽  
Numerical Method ◽  
Least Squares Method ◽  
Algebraic Equations ◽  
Systems Of Odes ◽  
Determination Of Parameters ◽  
Biological Modelling

An inverse numerical method that estimate parameters of dynamic mathematical models given some information about unknown trajectories at some time is applied to examples taken from Biology and Ecology. The method consisting of determining an over-determined system of algebraic equations using experimental data. The solution of the over-determined system is then obtained using, for example the least-squares method. To illustrate the effectiveness of the method an analysis of examples and corresponding numerical example are presented.

A globally convergent numerical method for an inverse elliptic problem of optical tomography

2010 ◽  
Vol 89 (6) ◽  
pp. 861-891 ◽  
Author(s):  
Michael V. Klibanov ◽  
Jianzhong Su ◽  
Natee Pantong ◽  
Hua Shan ◽  
Hanli Liu
Keyword(s):  
Numerical Method ◽  
Elliptic Problem ◽  
Optical Tomography ◽  
Globally Convergent ◽  
Inverse Elliptic Problem
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