The inverse scattering problem in three-dimensional elasticity

Gintides, D

dc.contributor.author	Gintides, D	en
dc.date.accessioned	2014-03-01T01:15:19Z
dc.date.available	2014-03-01T01:15:19Z
dc.date.issued	1999	en
dc.identifier.issn	0044-2267	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13432
dc.subject	Inverse Scattering Problem	en
dc.subject	Three Dimensional	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mechanics	en
dc.subject.other	HARMONIC ACOUSTIC-WAVES	en
dc.title	The inverse scattering problem in three-dimensional elasticity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/(SICI)1521-4001(199910)79:10<675::AID-ZAMM675>3.0.CO;2-0	en
heal.identifier.secondary	http://dx.doi.org/10.1002/(SICI)1521-4001(199910)79:10<675::AID-ZAMM675>3.0.CO;2-0	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	In this paper the inverse rigid scatterer problem in, linear elasticity is considered. A uniquely solvable integral equation which describes the scattering process is used to compute the elastic scattering amplitudes. A classical regularization procedure is proposed in order to reduce the integral equation to a Fredholm type equation with compact integral operators. A continuity dependence of the far-field amplitudes upon the shape of the scatterer is proved to stabilize the inverse problem and an optimization scheme is proposed to derive quasi solutions incorporating a priori data about the shape of the scatterer.	en
heal.publisher	WILEY-V C H VERLAG GMBH	en
heal.journalName	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik	en
dc.identifier.doi	10.1002/(SICI)1521-4001(199910)79:10<675::AID-ZAMM675>3.0.CO;2-0	en
dc.identifier.isi	ISI:000083064800002	en
dc.identifier.volume	79	en
dc.identifier.issue	10	en
dc.identifier.spage	675	en
dc.identifier.epage	684	en