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dc.contributor.authorIto, Kazufumi
dc.contributor.authorJin, Bangti
dc.contributor.authorZou, Jun
dc.date.accessioned2016-02-25T12:33:05Z
dc.date.available2016-02-25T12:33:05Z
dc.date.issued2013-03
dc.identifier.citationIto K, Jin B, Zou J (2013) A two-stage method for inverse medium scattering. Journal of Computational Physics 237: 211–223. Available: http://dx.doi.org/10.1016/j.jcp.2012.12.004.
dc.identifier.issn0021-9991
dc.identifier.doi10.1016/j.jcp.2012.12.004
dc.identifier.urihttp://hdl.handle.net/10754/597430
dc.description.abstractWe present a novel numerical method to the time-harmonic inverse medium scattering problem of recovering the refractive index from noisy near-field scattered data. The approach consists of two stages, one pruning step of detecting the scatterer support, and one resolution enhancing step with nonsmooth mixed regularization. The first step is strictly direct and of sampling type, and it faithfully detects the scatterer support. The second step is an innovative application of nonsmooth mixed regularization, and it accurately resolves the scatterer size as well as intensities. The nonsmooth model can be efficiently solved by a semi-smooth Newton-type method. Numerical results for two- and three-dimensional examples indicate that the new approach is accurate, computationally efficient, and robust with respect to data noise. © 2012 Elsevier Inc.
dc.description.sponsorshipWe are grateful to two anonymous referees for their thoughtful comments, which have improved the quality of the paper. The work of BJ is supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST), and that of JZ is substantially supported by Hong Kong RGC grants (projects 405110 and 404611).
dc.publisherElsevier BV
dc.subjectDirect sampling method
dc.subjectInverse medium scattering problem
dc.subjectMixed regularization
dc.subjectReconstruction algorithm
dc.subjectSemi-smooth Newton method
dc.titleA two-stage method for inverse medium scattering
dc.typeArticle
dc.identifier.journalJournal of Computational Physics
dc.contributor.institutionNorth Carolina State University, Raleigh, United States
dc.contributor.institutionTexas A and M University, College Station, United States
dc.contributor.institutionChinese University of Hong Kong, Hong Kong, China
kaust.grant.numberKUS-C1-016-04


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