An exact redatuming procedure for the inverse boundary value problem for the wave equation

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dc.citation.firstpage171en_US
dc.citation.issueNumber1en_US
dc.citation.journalTitleSIAM Journal on Applied Mathematicsen_US
dc.citation.lastpage192en_US
dc.citation.volumeNumber78en_US
dc.contributor.authorde Hoop, Maarten V.en_US
dc.contributor.authorKepley, Paulen_US
dc.contributor.authorOksanen, Laurien_US
dc.date.accessioned2018-07-16T18:43:47Zen_US
dc.date.available2018-07-16T18:43:47Zen_US
dc.date.issued2018en_US
dc.description.abstractRedatuming is a data processing technique to transform measurements recorded in one acquisition geometry to an analogous data set corresponding to another acquisition geometry, for which there are no recorded measurements. We consider a redatuming problem for a wave equation on a bounded domain, or on a manifold with boundary, and model data acquisition by a restriction of the associated Neumann-to-Dirichlet map. This map models measurements with sources and receivers on an open subset $\Gamma$ contained in the boundary of the manifold. We model the wavespeed by a Riemannian metric and suppose that the metric is known in some coordinates in a neighborhood of $\Gamma$. Our goal is to move sources and receivers into this known near boundary region. We formulate redatuming as a collection of unique continuation problems and provide a two-step procedure to solve the redatuming problem. We investigate the stability of the first step in this procedure, showing that it enjoys conditional Hölder stability under suitable geometric hypotheses. In addition, we provide computational experiments that demonstrate our redatuming procedure.en_US
dc.identifier.citationde Hoop, Maarten V., Kepley, Paul and Oksanen, Lauri. "An exact redatuming procedure for the inverse boundary value problem for the wave equation." <i>SIAM Journal on Applied Mathematics,</i> 78, no. 1 (2018) Society for Industrial and Applied Mathematics: 171-192. https://doi.org/10.1137/16M1106729.en_US
dc.identifier.doihttps://doi.org/10.1137/16M1106729en_US
dc.identifier.urihttps://hdl.handle.net/1911/102436en_US
dc.language.isoengen_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.titleAn exact redatuming procedure for the inverse boundary value problem for the wave equationen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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