Three-dimensional Coons macroelements in Laplace and acoustic problems

Provatidis, CG

dc.contributor.author	Provatidis, CG	en
dc.date.accessioned	2014-03-01T01:23:12Z
dc.date.available	2014-03-01T01:23:12Z
dc.date.issued	2005	en
dc.identifier.issn	0045-7949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16872
dc.subject	Acoustics	en
dc.subject	Coons interpolation	en
dc.subject	Finite element	en
dc.subject	Global approximation	en
dc.subject	Macroelement	en
dc.subject	Potential problems	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Civil	en
dc.subject.other	Acoustics	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Computer aided design	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Functions	en
dc.subject.other	Interpolation	en
dc.subject.other	Polynomials	en
dc.subject.other	Problem solving	en
dc.subject.other	Coons interpolation	en
dc.subject.other	Finite element	en
dc.subject.other	Global approximation	en
dc.subject.other	Macroelement	en
dc.subject.other	Potential problems	en
dc.subject.other	Finite element method	en
dc.title	Three-dimensional Coons macroelements in Laplace and acoustic problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.compstruc.2005.02.006	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.compstruc.2005.02.006	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	This paper introduces a new global functional. set for the FEM solution of three-dimensional boundary-value problems. The main idea is to construct large isoparametric finite elements based on the interpolation formula, which was developed in 1960s by S.A. Coons for the numerical representation of arbitrary solid CAD regions bounded by six curvilinear surfaces. In this way, besides the geometry, Coons interpolation formula is used here for the global interpolation of the unknown potential within the whole solid region (problem area), a procedure that leads to large elements, called "macroelements". For adequately smooth regions, the degrees of freedom appear only 1 at the 12 boundary edges of the macroelement and can be used in the solution of both static (Laplace) and eigenvalue (acoustic) problems. The proposed approach is sustained by five numerical results where it is successfully compared With conventional finite elements and exact analytical solutions. (c) 2005 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.2005.02.006	en
dc.identifier.isi	ISI:000230194800004	en
dc.identifier.volume	83	en
dc.identifier.issue	19-20	en
dc.identifier.spage	1572	en
dc.identifier.epage	1583	en