17 citations · 26 across the 13 of their papers we have counts for
20 papers
Reconstructing a space-dependent source term via the quasi-reversibility method
Loc H. Nguyen, Huong T. Vu
The aim of this paper is to solve an important inverse source problem which arises from the well-known inverse scattering problem. We propose to truncate the Fourier series of the…
The Carleman-Newton method to globally reconstruct a source term for nonlinear parabolic equation
Anuj Abhishek, Thuy Le, Loc Nguyen +1
We propose to combine the Carleman estimate and the Newton method to solve an inverse source problem for nonlinear parabolic equations from lateral boundary data. The stability of…
The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations
Dinh-Liem Nguyen, Loc Nguyen, Trung Truong
We develop an efficient and convergent numerical method for solving the inverse problem of determining the potential of nonlinear hyperbolic equations from lateral Cauchy data. In…
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…
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…
The quasi-reversibility method to numerically solve an inverse source problem for hyperbolic equations
Thuy T. Le, Loc H. Nguyen, Thi-Phong Nguyen +1
We propose a numerical method to solve an inverse source problem of computing the initial condition of hyperbolic equations from the measurements of Cauchy data. This problem arise…