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

Nguyen Trung Thành

doi:10.1515/jiip-2020-0117

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

Nguyen Trung Thành

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	485-493
Number of pages	9
Journal	Journal of Inverse and Ill-Posed Problems
Volume	30
Issue number	4
DOIs	https://doi.org/10.1515/jiip-2020-0117
State	Published - Aug 1 2022

All Science Journal Classification (ASJC) codes

Applied Mathematics

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title = "Convexity of a discrete Carleman weighted objective functional in an inverse medium scattering problem",

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.",

author = "Th{\`a}nh, {Nguyen Trung}",

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

Abstract

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