2 citations · 7 across the 12 of their papers we have counts for
4 papers · 2 filters
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…
A Carleman-based numerical method for quasilinear elliptic equations with over-determined boundary data and applications
Thuy T. Le, Loc H. Nguyen, Hung V. Tran
We propose a new iterative scheme to compute the numerical solution to an over-determined boundary value problem for a general quasilinear elliptic PDE. The main idea is to repeate…
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…
The gradient descent method for the convexification to solve boundary value problems of quasi-linear PDEs and a coefficient inverse problem
Thuy T. Le, Loc. H. Nguyen
We study the global convergence of the gradient descent method of the minimization of strictly convex functionals on an open and bounded set of a Hilbert space. Such results are un…