Coons-patch macroelements in two-dimensional parabolic problems

Provatidis, CG

dc.contributor.author	Provatidis, CG	en
dc.date.accessioned	2014-03-01T01:23:44Z
dc.date.available	2014-03-01T01:23:44Z
dc.date.issued	2006	en
dc.identifier.issn	0307-904X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17125
dc.subject	FEM	en
dc.subject	CAD/CAE	en
dc.subject	parabolic problems	en
dc.subject	macroelements	en
dc.subject	mortar methods	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	INTERPOLATION	en
dc.subject.other	ELEMENTS	en
dc.subject.other	EIGENVALUE	en
dc.subject.other	DOMAINS	en
dc.title	Coons-patch macroelements in two-dimensional parabolic problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.apm.2005.05.011	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.apm.2005.05.011	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	Having recently obtained encouraging results in elliptic and hyperbolic problems, this paper Summarizes previous work and further investigates the performance of large isoparametric finite elements based on the Coons-Gordon interpolation formula in the analysis of two-dimensional parabolic potential problems. The latter formula allows the global interpolation of the potential within the whole problem domain and leads to the so-called Coons-patch-macroelements (CPM), where the degrees of freedom appear primarily at the element boundaries but in the general case it is also possible to use any desirable number of internal nodes. Mathematical and numerical aspects such as the relationship between boundary-only Coons-patch macroelements and Serendipity type elements, the systematic and straightforward way of adding internal nodes, the procedure of merging dissimilar domains and, finally, efficient numerical integration schemes are discussed. Numerical results on typical static (Laplace) and time-dependent thermal problems sustain the proposed method, which is successfully compared with conventional bilinear finite elements and exact analytical solutions. (c) 2005 Elsevier Inc. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	APPLIED MATHEMATICAL MODELLING	en
dc.identifier.doi	10.1016/j.apm.2005.05.011	en
dc.identifier.isi	ISI:000235263400002	en
dc.identifier.volume	30	en
dc.identifier.issue	4	en
dc.identifier.spage	319	en
dc.identifier.epage	351	en