On the 'interior Helmholtz integral equation formulation' in sound radiation problems

Provatidis, Ch; Zafiropoulos, N

dc.contributor.author	Provatidis, Ch	en
dc.contributor.author	Zafiropoulos, N	en
dc.date.accessioned	2014-03-01T01:18:09Z
dc.date.available	2014-03-01T01:18:09Z
dc.date.issued	2002	en
dc.identifier.issn	0955-7997	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14822
dc.subject	Helmholtz equation	en
dc.subject	Non-uniqueness	en
dc.subject	Off-boundary techniques	en
dc.subject	Sound radiation	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Boundary element method	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Integral equations	en
dc.subject.other	Molecular vibrations	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Sound radiations	en
dc.subject.other	Vibrating surfaces	en
dc.subject.other	Acoustic waves	en
dc.title	On the 'interior Helmholtz integral equation formulation' in sound radiation problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0955-7997(01)00079-0	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0955-7997(01)00079-0	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	This paper discusses the accuracy of the sound radiation (Helmholtz equation) BEM analysis when the source points are located inside the vibrating surface. It is shown that when these points are arranged in such a way that they compose a fictitious internal boundary, geometrically similar to the vibrating surface, then fictitious eigenfrequencies appear at larger values than those corresponding to the eigenfrequencies of the internal boundary. In this way, the direct-BEM analysis becomes capable of treating the non-uniqueness problem in a simple and efficient practical manner. which makes the method applicable for industrial purposes. Results are presented for the spherical monopole and dipole, while discussion is extended to a similarly vibrating cube. (C) 2001 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	ELSEVIER SCI LTD	en
heal.journalName	Engineering Analysis with Boundary Elements	en
dc.identifier.doi	10.1016/S0955-7997(01)00079-0	en
dc.identifier.isi	ISI:000173254900003	en
dc.identifier.volume	26	en
dc.identifier.issue	1	en
dc.identifier.spage	29	en
dc.identifier.epage	40	en