Three-dimensional Coons macroelements: application to eigenvalue and scalar wave propagation problems

Provatidis, CG

dc.contributor.author	Provatidis, CG	en
dc.date.accessioned	2014-03-01T01:25:24Z
dc.date.available	2014-03-01T01:25:24Z
dc.date.issued	2006	en
dc.identifier.issn	0029-5981	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17648
dc.subject	finite element	en
dc.subject	hexahedral macroelement	en
dc.subject	global approximation	en
dc.subject	Coons-Gordon interpolation	en
dc.subject	CAD/CAE integration	en
dc.subject	higher order approximation	en
dc.subject	scalar wave propagation	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	FINITE-ELEMENT METHOD	en
dc.subject.other	PATCH BOUNDARY ELEMENTS	en
dc.subject.other	P-VERSION	en
dc.subject.other	INTERPOLATION	en
dc.subject.other	DIMENSIONS	en
dc.subject.other	EQUATION	en
dc.subject.other	DOMAINS	en
dc.title	Three-dimensional Coons macroelements: application to eigenvalue and scalar wave propagation problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/nme.1496	en
heal.identifier.secondary	http://dx.doi.org/10.1002/nme.1496	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	This paper discusses the matter of using higher order approximations in three-dimensional problems through Coons macroelements. Recently, we have proposed a global functional set based oil 'Coons interpolation formula for the Construction of large two-dimensional macroelements with degrees of freedom appearing at the boundaries only of the domain. After Successive application in many engineering problems, this paper extends the methodology to large three-dimensional hexahedral macroelements with the degrees of freedom appearing at the 12 edges of the entire domain in case of smooth box-like structures. Closed-form expressions of the global shape functions are presented for the first time. It is shown that these global shape functions can be automatically Constructed in a systematic way by arbitrarily choosing univariate approximations Such as piecewise-linear, Cubic B-splines, Lagrange polynomials, etc., along the control lines. Moreover, the mechanism of adding facial and internal nodes is presented. Relationships with higher order p-methods are discussed. Following to excellent results previously derived for the Solution of the Laplace equation as well as static and eigenvalue extraction analysis Of Structures, the paper investigates the performance of Coons macroelements in 3-D eigenvalue and scalar wave propagation problems by implementing standard time-integration schemes. Copyright (c) 2005 John Wiley & Sons, Ltd.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING	en
dc.identifier.doi	10.1002/nme.1496	en
dc.identifier.isi	ISI:000234161500006	en
dc.identifier.volume	65	en
dc.identifier.issue	1	en
dc.identifier.spage	111	en
dc.identifier.epage	134	en