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Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data by Le, Thuy T.; Klibanov, Michael V.; Nguyen, Loc H.; Sullivan, Anders; Nguyen, Lam is a scholarly article available to read on EtoBox.

What is Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data about?

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 estimate, the global convergence of the corresponding numerical method is established. Numerical studies for both computationally simulated and experimentally collected data are presented. The experimental part is concerned with the problem of computing dielectric constants of explosive-like targets in the standoff mode using severely underdetermined data.

Author

Le, Thuy T.; Klibanov, Michael V.; Nguyen, Loc H.; Sullivan, Anders; Nguyen, Lam

Published

2021

Language

EN