Coons-patch macroelements in potential Robin problems

Provatidis, CG

dc.contributor.author	Provatidis, CG	en
dc.date.accessioned	2014-03-01T01:17:40Z
dc.date.available	2014-03-01T01:17:40Z
dc.date.issued	2002	en
dc.identifier.issn	0015-7899	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14610
dc.subject	Analytic Solution	en
dc.subject	Boundary Element	en
dc.subject	Degree of Freedom	en
dc.subject	Finite Element	en
dc.subject	Robin Boundary Condition	en
dc.subject	Steady State	en
dc.subject	Two Dimensions	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Boundary element method	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Finite element method	en
dc.subject.other	Interpolation	en
dc.subject.other	Robin problems	en
dc.subject.other	Heat problems	en
dc.title	Coons-patch macroelements in potential Robin problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10010-002-0076-1	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10010-002-0076-1	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	This paper investigates the performance of large isoparametric finite elements based on the Coons' patch interpolation formula in the analysis of two-dimensional and axisymmetric potential problems with mixed (Robin) boundary conditions. This formula allows the global interpolation of the potential, e.g. temperature, within the whole domain and leads to the so-called ""macroelements"", where the degrees of freedom appear only at the element boundaries. Numerical results including a steady-state axisymmetric thermal problem and simple test problems in two dimensions from literature, sustain the proposed method, which is successfully compared with conventional finite elements, boundary elements and exact analytical solutions.	en
heal.publisher	SPRINGER-VERLAG BERLIN	en
heal.journalName	Forschung im Ingenieurwesen/Engineering Research	en
dc.identifier.doi	10.1007/s10010-002-0076-1	en
dc.identifier.isi	ISI:000176330300003	en
dc.identifier.volume	67	en
dc.identifier.issue	1	en
dc.identifier.spage	19	en
dc.identifier.epage	26	en