[書籍][B] Carleman estimates for coefficient inverse problems and numerical applications

MV Klibanov, AA Timonov - 2004 - books.google.com
In this monograph, the main subject of the author's considerations is coefficient inverse
problems. Arising in many areas of natural sciences and technology, such problems consist …

A posteriori error estimates in a globally convergent FEM for a hyperbolic coefficient inverse problem

M Asadzadeh, L Beilina - Inverse problems, 2010 - iopscience.iop.org
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 …

Globally convergent numerical methods for some coefficient inverse problems

J ** algorithm for reconstruction of dielectrics in an optical fiber
L Beilina, E Karchevskii - Inverse problems and applications, 2015 - Springer
We present a new model of an approximate globally convergent method in a frequency
domain for reconstruction of dielectric permittivity of a weakly guiding optical fiber. We …

Comparative studies of the globally convergent convexification algorithm with application to imaging of antipersonnel land mines

J **n, M V. Klibanov - Applicable Analysis, 2007 - Taylor & Francis
A comparative study of various aspects on the globally convergent convexification algorithm
for coefficient inverse problems is described. Numerical results of the algorithm with …

Approximate global convergence in imaging of land mines from backscattered data

L Beilina, MV Klibanov - … Inverse Problems: Select Contributions from the …, 2013 - Springer
We present new model of an approximate globally convergent method in the most
challenging case of the backscattered data. In this case data for the coefficient inverse …

A globally convergent convexification algorithm for multidimensional coefficient inverse problems

MV Klibanov, A Timonov - 2007 - degruyter.com
A globally convergent convexification algorithm for multidimensional coefficient inverse
problems Page 1 c de Gruyter 2007 J. Inv. Ill-Posed Problems 15 (2007), 167–179 DOI 10.1515 …

Imaging of land mines by the globally convergent convexification method using a simplified mathematical model

J **n, MV Klibanov - Inverse Problems in Science and Engineering, 2008 - Taylor & Francis
A new 2-D implementation of the globally convergent convexification numerical method for
coefficient inverse problems is described. Based on a simplified mathematical model …