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• W2949737535 abstract "We study the numerical reconstruction problem in acousto-electric tomography of recovering the conductivity distribution in a bounded domain from interior power density data. We propose a numerical method for recovering discontinuous conductivity distributions, by reformulating it as an optimization problem with $ L^1 $ fitting and total variation penalty subject to PDE constraints. We establish continuity and differentiability results for the forward map, the well-posedness of the optimization problem, and present an easy-to-implement and robust numerical method based on successive linearization, smoothing and iterative reweighing. Extensive numerical experiments are presented to illustrate the feasibility of the proposed approach." @default.
• W2949737535 created "2019-06-27" @default.
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• W2949737535 date "2019-02-04" @default.
• W2949737535 modified "2023-09-27" @default.
• W2949737535 title "Acousto-electric tomography with total variation regularization" @default.
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• W2949737535 doi "https://doi.org/10.1088/1361-6420/aaece5" @default.
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