Solving a 1-D inverse medium scattering problem using a new multi-frequency globally strictly convex objective functional

Nguyen T. Thành, Michael V. Klibanov

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We propose a new approach to constructing globally strictly convex objective functional in a 1-D inverse medium scattering problem using multi-frequency backscattering data. The global convexity of the proposed objective functional is proved. We also prove the global convergence of the gradient projection algorithm and derive an error estimate. Numerical examples are presented to illustrate the performance of the proposed algorithm.

Original languageAmerican English
Pages (from-to)693-711
Number of pages19
JournalJournal of Inverse and Ill-Posed Problems
Volume28
Issue number5
DOIs
StatePublished - Oct 1 2020

ASJC Scopus subject areas

  • Applied Mathematics

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