On DR/BEM for eigenvalue analysis of 2-D acoustics

Provatidis, CG

dc.contributor.author	Provatidis, CG	en
dc.date.accessioned	2014-03-01T11:44:38Z
dc.date.available	2014-03-01T11:44:38Z
dc.date.issued	2004	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/37051
dc.subject	Acoustics	en
dc.subject	Blending-function interpolation	en
dc.subject	DR/BEM	en
dc.subject	Eigenvalue problem	en
dc.subject	Multiquadratics	en
dc.subject	RBF (radial basis functions)	en
dc.subject	Thin plate spline	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary element method	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Functions	en
dc.subject.other	Interpolation	en
dc.subject.other	Problem solving	en
dc.subject.other	Radial basis function networks	en
dc.subject.other	Two dimensional	en
dc.subject.other	Blending-function interpolation	en
dc.subject.other	Dual reciprocity method (DRM)	en
dc.subject.other	Eigenvalue problems	en
dc.subject.other	Multiquadratics	en
dc.subject.other	Radial basis functions (RBF)	en
dc.subject.other	Thin plate splines	en
dc.subject.other	Acoustics	en
dc.title	On DR/BEM for eigenvalue analysis of 2-D acoustics	en
heal.type	other	en
heal.identifier.primary	10.1007/s00466-004-0600-2	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00466-004-0600-2	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	This paper discusses the efficiency of several DR/BEM formulations and other boundary techniques for the eigenvalue extraction of two-dimensional acoustic cavities. First, the paper shows that the well-known conical radial basis functions lead to extremely ill conditioning results in cases that the height of the cone is not properly chosen. Moreover, the accuracy of other known high-degree basis functions is tested. Second, the use of Pascal's triangle is proposed as a better approximation of the inertial forces at least for the case of rectangular domains. Using Gordon's blending-function formula, a systematic procedure is proposed for the selection of the proper monomials. Third, it is shown that the aforementioned functional set can be also used to establish an alternative boundary-type method where both inertial and static terms are treated in a consistent manner. The solution quality of these formulations is investigated by calculating the eigenvalues of a rectangular and a circular acoustic cavity where analytical solutions are known.	en
heal.publisher	SPRINGER	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s00466-004-0600-2	en
dc.identifier.isi	ISI:000225523900005	en
dc.identifier.volume	35	en
dc.identifier.issue	1	en
dc.identifier.spage	41	en
dc.identifier.epage	53	en