Inverse scattering by penetrable objects in two-dimensional elastodynamics

Pelekanos, GGeorge; Sevroglou, V

dc.contributor.author	Pelekanos, GGeorge	en
dc.contributor.author	Sevroglou, V	en
dc.date.accessioned	2014-03-01T01:19:04Z
dc.date.available	2014-03-01T01:19:04Z
dc.date.issued	2003	en
dc.identifier.issn	0377-0427	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15360
dc.subject	Interior transmission problem	en
dc.subject	Penetrable objects	en
dc.subject	Sampling method	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Dynamics	en
dc.subject.other	Elasticity	en
dc.subject.other	Scattering	en
dc.subject.other	Dyadic solutions	en
dc.subject.other	Far-field equations	en
dc.subject.other	Two-dimensional elastodynamics	en
dc.subject.other	Mathematical techniques	en
dc.subject.other	elastodynamics	en
dc.title	Inverse scattering by penetrable objects in two-dimensional elastodynamics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0377-0427(02)00742-2	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0377-0427(02)00742-2	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	In this paper, a method for the shape reconstruction of a penetrable scatterer in two-dimensional linear elasticity is presented. The direct scattering problem is formulated in a dyadic form, a fact that is enforced by the dyadic nature of the free-space Green's function. Approximate far-field equations with known terms the P and S parts of the fundamental dyadic solution at the radiation zone are used. The mathematical analysis presented is based on an interior transmission problem where a weak-type solution is introduced. The proposed inversion algorithm is an extension of the sampling method for the two-dimensional elastic case. The boundary of the scatterer can be found by noting that the L-2-norms of the Herglotz kernels of the approximate far-field equations are not bounded as the source point of the fundamental solution approaches the boundary from inside. Numerical results for penetrable objects are presented illustrating the applicability of this method. (C) 2002 Elsevier Science B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Journal of Computational and Applied Mathematics	en
dc.identifier.doi	10.1016/S0377-0427(02)00742-2	en
dc.identifier.isi	ISI:000180362500009	en
dc.identifier.volume	151	en
dc.identifier.issue	1	en
dc.identifier.spage	129	en
dc.identifier.epage	140	en