An inversion algorithm in two-dimensional elasticity

Sevroglou, V; Pelekanos, G

dc.contributor.author	Sevroglou, V	en
dc.contributor.author	Pelekanos, G	en
dc.date.accessioned	2014-03-01T01:16:08Z
dc.date.available	2014-03-01T01:16:08Z
dc.date.issued	2001	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13941
dc.subject	Circular Cylinder	en
dc.subject	Integral Equation	en
dc.subject	Inverse Scattering Problem	en
dc.subject	Linear Elasticity	en
dc.subject	Rigid Body	en
dc.subject	Scattering Amplitude	en
dc.subject	Interior Point	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	SCATTERING PROBLEM	en
dc.subject.other	RESONANCE REGION	en
dc.subject.other	WAVES	en
dc.title	An inversion algorithm in two-dimensional elasticity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jmaa.2001.7638	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jmaa.2001.7638	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	In this paper scattering problems for the rigid body and the cavity in two-dimensional linear elasticity are considered. In each case the corresponding far-field scattering amplitudes are presented and the Herglotz condition and Herglotz wavefunctions are introduced. A pair of integral equations are constructed in the far-field region. The properties of the Herglotz functions are used to derive solvability conditions and to built approximate far-field equations. A method for solving inverse scattering problems is proposed, and the support of the scattering obstacle is found by noting the unboundedness of the LI-norm of the Herglotz densities as an interior point approaches the boundary of the scattering object from inside the scatterer. Illustration of the unboundedness property on the boundary is carried out for rigid circular cylinders and cavities. Numerical results for rigid bodies are also given, showing the applicability of this method. (C) 2001 Academic Press.	en
heal.publisher	ACADEMIC PRESS INC	en
heal.journalName	Journal of Mathematical Analysis and Applications	en
dc.identifier.doi	10.1006/jmaa.2001.7638	en
dc.identifier.isi	ISI:000172108100018	en
dc.identifier.volume	263	en
dc.identifier.issue	1	en
dc.identifier.spage	277	en
dc.identifier.epage	293	en