Inverse scattering problem for a rigid scatterer or a cavity in elastodynamics

Gintides, D; Midrinos, L

dc.contributor.author	Gintides, D	en
dc.contributor.author	Midrinos, L	en
dc.date.accessioned	2014-03-01T01:35:53Z
dc.date.available	2014-03-01T01:35:53Z
dc.date.issued	2011	en
dc.identifier.issn	0044-2267	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21237
dc.subject	Integral equations.	en
dc.subject	Inverse scattering problems	en
dc.subject	Linear elasticity	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mechanics	en
dc.subject.other	NONLINEAR INTEGRAL-EQUATIONS	en
dc.subject.other	LINEAR SAMPLING METHOD	en
dc.subject.other	ELASTIC-SCATTERING	en
dc.subject.other	NUMERICAL-SOLUTION	en
dc.subject.other	OBSTACLE	en
dc.subject.other	BODIES	en
dc.subject.other	WAVES	en
dc.subject.other	FIELD	en
dc.title	Inverse scattering problem for a rigid scatterer or a cavity in elastodynamics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/zamm.201000098	en
heal.identifier.secondary	http://dx.doi.org/10.1002/zamm.201000098	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	We consider the inverse scattering problem for the shape determination of a rigid scatterer or a cavity in a homogeneous and isotropic elastic medium. Both problems are formulated in R2 for time-harmonic fields and longitudinal or transversal incident plane waves. Representation of the scattered field as a single- or a double-layer potential, equivalently, leads to a system of two nonlinear integral equations for the density and the parametrization of the boundary. A detailed numerical implementation is presented for computing the corresponding solutions of both systems and numerical reconstructions are given to show the effectiveness of the method. The authors consider the inverse scattering problem for the shape determination of a rigid scatterer or a cavity in a homogeneous and isotropic elastic medium. Both problems are formulated in R2 for time-harmonic fields and longitudinal or transversal incident plane waves. Representation of the scattered field as a single- or a double-layer potential, equivalently, leads to a system of two nonlinear integral equations for the density and the parametrization of the boundary. A detailed numerical implementation is presented for computing the corresponding solutions of both systems and numerical reconstructions are given to show the effectiveness of the method. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.	en
heal.publisher	WILEY-BLACKWELL	en
heal.journalName	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik	en
dc.identifier.doi	10.1002/zamm.201000098	en
dc.identifier.isi	ISI:000288036600002	en
dc.identifier.volume	91	en
dc.identifier.issue	4	en
dc.identifier.spage	276	en
dc.identifier.epage	287	en