Performance of a macro-FEM approach using global interpolation (Coons') functions in axisymmetric potential problems

Provatidis, Ch; Kanarachos, A

dc.contributor.author	Provatidis, Ch	en
dc.contributor.author	Kanarachos, A	en
dc.date.accessioned	2014-03-01T01:16:56Z
dc.date.available	2014-03-01T01:16:56Z
dc.date.issued	2001	en
dc.identifier.issn	0045-7949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14273
dc.subject	Axisymmetric	en
dc.subject	Computer aided design	en
dc.subject	Coons' interpolation	en
dc.subject	Finite elements	en
dc.subject	Global interpolation	en
dc.subject	Macro-elements	en
dc.subject	Potential problems	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Civil	en
dc.subject.other	Approximation theory	en
dc.subject.other	Boundary element method	en
dc.subject.other	Computer aided design	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Finite element method	en
dc.subject.other	Interpolation	en
dc.subject.other	Axisymmetric potential problems	en
dc.subject.other	Problem solving	en
dc.title	Performance of a macro-FEM approach using global interpolation (Coons') functions in axisymmetric potential problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0045-7949(01)00101-8	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0045-7949(01)00101-8	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	This paper extends a previously presented global functional set and investigates its performance in axisymmetric potential problems. The main idea is to build-up isoparametric finite elements based on the interpolation formula developed by S.A. Coons for arbitrary-shaped CAD patches. This formula allows the global interpolation of the potential within the whole domain and leads to ""large"" elements, called ""macro-elements"". The degrees of freedom appear only at the element boundaries and can be used in the solution of both static and dynamic problems. Numerical results sustain the proposed method, which is successfully compared with conventional finite elements, boundary elements and exact analytical solutions. © 2001 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Structures	en
dc.identifier.doi	10.1016/S0045-7949(01)00101-8	en
dc.identifier.isi	ISI:000171430400003	en
dc.identifier.volume	79	en
dc.identifier.issue	19	en
dc.identifier.spage	1769	en
dc.identifier.epage	1779	en