Convexity of a discrete Carleman weighted objective functional in an inverse medium scattering problem
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AbstractWe 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.
2020 ◽
Vol 28
(5)
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pp. 693-711
2005 ◽
Vol 13
(3)
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pp. 203-218
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2009 ◽
Vol 228
(12)
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pp. 4638-4648
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2017 ◽
Vol 77
(5)
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pp. 1733-1755
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