Coons-patch macroelements in two-dimensional eigenvalue and scalar wave propagation problems

Provatidis, CG

dc.contributor.author	Provatidis, CG	en
dc.date.accessioned	2014-03-01T01:20:04Z
dc.date.available	2014-03-01T01:20:04Z
dc.date.issued	2004	en
dc.identifier.issn	0045-7949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15829
dc.subject	Computer-aided-design (CAD)	en
dc.subject	Coons interpolation	en
dc.subject	Finite element	en
dc.subject	Global approximation	en
dc.subject	Macroelement	en
dc.subject	Scalar wave propagation	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Civil	en
dc.subject.other	Approximation theory	en
dc.subject.other	Computational methods	en
dc.subject.other	Computer aided design	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Finite element method	en
dc.subject.other	Interpolation	en
dc.subject.other	Lagrange multipliers	en
dc.subject.other	Coons interpolation	en
dc.subject.other	Global approximation	en
dc.subject.other	Macroelements	en
dc.subject.other	Scalar wave propagation	en
dc.subject.other	Wave propagation	en
dc.title	Coons-patch macroelements in two-dimensional eigenvalue and scalar wave propagation problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.compstruc.2003.10.012	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.compstruc.2003.10.012	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	Recently, a global functional set has been proposed for the construction of large finite elements, here called ""Coons-patch macroelements"", with degrees of freedom at the boundaries only. The background of the method is ""Coons interpolation formula""; a mathematical formula capable of describing CAD surfaces initially applied to automobile applications. So far, these macroelements were found to be accurate in potential and plane elasticity problems. Based on these encouraging results, this paper continues the investigation on the universality which Coons interpolation formula offers in the development of a class of macroelements including members of the well-known serendipity family. In this context, it is shown in a systematic way that it is not necessary to use Lagrange polynomials to interpolate the potential along each side of the macroelement but one may choose piecewise-linear and/or cubic B-splines interpolants. Moreover, the paper investigates the performance of Coons-patch macroelements in eigenvalue and scalar wave propagation problems by implementing standard time-integration schemes. © 2003 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Structures	en
dc.identifier.doi	10.1016/j.compstruc.2003.10.012	en
dc.identifier.isi	ISI:000189188400005	en
dc.identifier.volume	82	en
dc.identifier.issue	4-5	en
dc.identifier.spage	383	en
dc.identifier.epage	395	en