56 citations · 510 across the 96 of their papers we have counts for
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Globally strongly convex cost functional for a coefficient inverse problem
Larisa Beilina, Michael V. Klibanov
A Carleman Weight Function (CWF) is used to construct a new cost functional for a Coefficient Inverse Problems for a hyperbolic PDE. Given a bounded set of an arbitrary size in a c…
Reconstruction from blind experimental data for an inverse problem for a hyperbolic equation
Larisa Beilina, Nguyen Trung Thành, Michael V. Klibanov +1
We consider the problem of reconstruction of dielectrics from blind backscattered experimental data. Experimental data were collected by a device, which was built at University of…
Reconstruction of the refractive index from experimental backscattering data using a globally convergent inverse method
Nguyen Trung Thành, Larisa Beilina, Michael V. Klibanov +1
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…
Uniqueness of two phaseless inverse acoustics problems in 3-d
Michael V. Klibanov
Uniqueness is proven for two 3-d inverse problems of the determination of the spatially distributed sound speed in the frequency dependent acoustic PDE. The main new point is the a…
The Gel'fand-Levitan-Krein method and the globally convergent method for experimental data
Andrey L. Karchevsky, Michael V. Klibanov, Lam Nguyen +2
Comparison of numerical performances of two methods for coefficient inverse problems is described. The first one is the classical Gel'fand-Levitan-Krein equation method, and the se…
Phaseless inverse scattering problems in 3-d
Michael V. Klibanov
Uniqueness theorems are proved for 3-d inverse scattering problems in the frequency domain under the assumption that only the modulus of the complex valued wave field is measured,…