Convexity of a discrete Carleman weighted objective functional in an inverse medium scattering problem

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Abstract

We investigate a globally convergent method for solving a one-dimensional inverse medium scattering problem using backscattering data at a finite number of frequencies. The proposed method is based on the minimization of a discrete Carleman weighted objective functional. The global convexity of this objective functional is proved.

Original languageEnglish (US)
JournalJournal of Inverse and Ill-Posed Problems
DOIs
StateAccepted/In press - 2021

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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