56 citations · 510 across the 96 of their papers we have counts for
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A globally convergent numerical method for a 3D coefficient inverse problem for a wave-like equation
Michael V. Klibanov, Jingzhi Li, Wenlong Zhang
A version of the convexification globally convergent numerical method is constructed for a coefficient inverse problem for a wave-like partial differential equation. The presence o…
Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data
Thuy T. Le, Michael V. Klibanov, Loc H. Nguyen +2
It is shown that the contraction mapping principle with the involvement of a Carleman Weight Function works for a Coefficient Inverse Problem for a 1D hyperbolic equation. Using a…
Carleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equation
Loc H. Nguyen, Michael V. Klibanov
The main aim of this paper is to solve an inverse source problem for a general nonlinear hyperbolic equation. Combining the quasi-reversibility method and a suitable Carleman weigh…
Convexification-based globally convergent numerical method for a 1D coefficient inverse problem with experimental data
Michael V. Klibanov, Thuy T. Le, Loc H. Nguyen +2
To compute the spatially distributed dielectric constant from the backscattering data, we study a coefficient inverse problem for a 1D hyperbolic equation. To solve the inverse pro…
Numerical viscosity solutions to Hamilton-Jacobi equations via a Carleman estimate and the convexification method
Michael Klibanov, Loc H. Nguyen, Hung V. Tran
We propose a globally convergent numerical method, called the convexification, to numerically compute the viscosity solution to first-order Hamilton-Jacobi equations through the va…
Convexification inversion method for nonlinear SAR imaging with experimentally collected data
M. V. Klibanov, V. A. Khoa, A. V. Smirnov +4
This paper is concerned with the study of a version of the globally convergent convexification method with direct application to synthetic aperture radar (SAR) imaging. Results of…