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<https://discovery.ucl.ac.uk/id/eprint/10059459> <http://purl.org/ontology/bibo/abstract> "We study the numerical reconstruction problem in acousto-electric tomography of recovering the\r\nconductivity distribution in a bounded domain from interior power density data. We propose a\r\nnumerical method for recovering discontinuous conductivity distributions, by reformulating it as\r\nan optimization problem with L\r\n1 fitting and total variation penalty subject to PDE constraints.\r\nWe establish continuity and differentiability results for the forward map, the well-posedness of the\r\noptimization problem, and present an easy-to-implement and robust numerical method based on\r\nsuccessive linearization, smoothing and iterative reweighing. Extensive numerical experiments are\r\npresented to illustrate the feasibility of the proposed approach."^^<http://www.w3.org/2001/XMLSchema#string> .
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