Semantic Scholar Open Access 2021 12 sitasi

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

T. Le M. Klibanov L. Nguyen A. Sullivan Lam Nguyen

Abstrak

It is demonstrated 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.

Penulis (5)

T

T. Le

M

M. Klibanov

L

L. Nguyen

A

A. Sullivan

L

Lam Nguyen

Format Sitasi

Le, T., Klibanov, M., Nguyen, L., Sullivan, A., Nguyen, L. (2021). Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data. https://doi.org/10.1088/1361-6420/ac50b8

Akses Cepat

Lihat di Sumber doi.org/10.1088/1361-6420/ac50b8
Informasi Jurnal
Tahun Terbit
2021
Bahasa
en
Total Sitasi
12×
Sumber Database
Semantic Scholar
DOI
10.1088/1361-6420/ac50b8
Akses
Open Access ✓