Direct and inverse elastic scattering from anisotropic media
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2348 | |
dc.contributor.author | Bao, Gang | |
dc.contributor.author | Hu, Guanghui | |
dc.contributor.author | Yin, Tao | |
dc.contributor.author | Sun, Jiguang | |
dc.date.accessioned | 2017-03-29T23:50:33Z | |
dc.date.available | 2019-06-28T08:04:59Z | |
dc.date.issued | 2016 | |
dc.description.abstract | Assume a time-harmonic elastic wave is incident onto a penetrable anisotropic body embedded into a homogeneous isotropic background medium. We propose an equivalent variational formulation in a truncated bounded domain and show uniqueness and existence of weak solutions by applying the Fredholm alternative and using properties of the Dirichlet-to-Neumann map in both two and three dimensions. The Fréchet derivative of the near-field solution operator with respect to the scattering interface is derived. As an application, we design a descent algorithm for recovering the interface from the near-field data of one or several incident directions and frequencies. Numerical examples in 2D are demonstrated to show the validity and accuracy of our methods. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/2236 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2255 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Linear elasticity | eng |
dc.subject.other | Lamé system | eng |
dc.subject.other | variational approach | eng |
dc.subject.other | Fréchet derivative | eng |
dc.subject.other | Dirichlet-to-Neumann map | eng |
dc.subject.other | inverse scattering | eng |
dc.title | Direct and inverse elastic scattering from anisotropic media | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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