Reconstruction of Lamé Moduli and Density at the Boundary Enabling Directional Elastic Wavefield Decomposition

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dc.citation.firstpage520en_US
dc.citation.issueNumber2en_US
dc.citation.journalTitleSIAM Journal on Applied Mathematicsen_US
dc.citation.lastpage536en_US
dc.citation.volumeNumber77en_US
dc.contributor.authorde Hoop, Maarten V.en_US
dc.contributor.authorNakamura, Genen_US
dc.contributor.authorZhai, Jianen_US
dc.date.accessioned2017-05-04T19:43:55Zen_US
dc.date.available2017-05-04T19:43:55Zen_US
dc.date.issued2017en_US
dc.description.abstractWe consider the inverse boundary value problem for the system of equations describing elastic waves in isotropic media on a bounded domain in $\mathbb{R}^3$ via a finite-time Laplace transform. The data are the dynamical Dirichlet-to-Neumann map. More precisely, using the full symbol of the transformed Dirichlet-to-Neumann map viewed as a semiclassical pseudodifferential operator, we give an explicit reconstruction of both Lamé parameters and the density, as well as their derivatives, at the boundary. We also show how this boundary reconstruction leads to a decomposition of incoming and outgoing waves.en_US
dc.identifier.citationde Hoop, Maarten V., Nakamura, Gen and Zhai, Jian. "Reconstruction of Lamé Moduli and Density at the Boundary Enabling Directional Elastic Wavefield Decomposition." <i>SIAM Journal on Applied Mathematics,</i> 77, no. 2 (2017) SIAM: 520-536. http://dx.doi.org/10.1137/16M1073406.en_US
dc.identifier.doihttp://dx.doi.org/10.1137/16M1073406en_US
dc.identifier.urihttps://hdl.handle.net/1911/94183en_US
dc.language.isoengen_US
dc.publisherSIAMen_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.titleReconstruction of Lamé Moduli and Density at the Boundary Enabling Directional Elastic Wavefield Decompositionen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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