Emergent Mind
Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data
(2109.11098)
Published Sep 23, 2021
in
math.NA
,
cs.NA
,
and
math.AP
Abstract
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.
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