Two-dimensional elastostatic analysis using Coons-Gordon interpolation

Provatidis, CG

dc.contributor.author	Provatidis, CG	en
dc.date.accessioned	2014-03-01T02:14:52Z
dc.date.available	2014-03-01T02:14:52Z
dc.date.issued	2012	en
dc.identifier.issn	00256455	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30158
dc.subject	Elasticity	en
dc.subject	Finite elements	en
dc.subject	Global approximation	en
dc.subject	Gordon-Coons interpolation	en
dc.subject.other	3D Finite element	en
dc.subject.other	Blending function	en
dc.subject.other	Coons-Gordon interpolation	en
dc.subject.other	Cubic B-splines	en
dc.subject.other	Elasticity problems	en
dc.subject.other	Finite Element	en
dc.subject.other	Global approximation	en
dc.subject.other	Internal nodes	en
dc.subject.other	Lagrange polynomials	en
dc.subject.other	Macro element	en
dc.subject.other	Mesh density	en
dc.subject.other	Numerical solution	en
dc.subject.other	Patch tests	en
dc.subject.other	Piecewise-linear	en
dc.subject.other	Simple structures	en
dc.subject.other	Test case	en
dc.subject.other	Trial functions	en
dc.subject.other	Blending	en
dc.subject.other	Elasticity	en
dc.subject.other	Piecewise linear techniques	en
dc.subject.other	Polynomials	en
dc.subject.other	Interpolation	en
dc.title	Two-dimensional elastostatic analysis using Coons-Gordon interpolation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s11012-011-9489-y	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11012-011-9489-y	en
heal.publicationDate	2012	en
heal.abstract	During the last years blending-function (Coons') interpolation has been utilized for the construction of large 2D and 3D finite elements with degrees of freedom appearing along the boundaries of the domain. In the particular case of elasticity problems, these so-called ""boundary-only Coons macroelements"" have been applied to the analysis of simple structures in which adequate accuracy was remarked. This paper continues the research investigating, for the first time, the role of internal nodes in the accuracy of the numerical solution using various trial functions along the boundary in conjunction with various blending functions (piecewise-linear, cubic Bsplines and Lagrange polynomials). The performance and limits of the proposed Coons-Gordon macroelements are tested in typical 2D elastostatic examples, where they are also compared with conventional fournode bilinear finite elements of the same mesh density. It was definitely found that although the 'boundaryonly formulation' of the proposed Coons macroelements successfully pass some well-established patch tests and may be very accurate in some simple test cases, in general, it must be substituted by the 'transfinite formulation' (Coons-Gordon) where a sufficient number of internal nodes is necessary to ensure convergence. © Springer Science+Business Media B.V. 2011.	en
heal.journalName	Meccanica	en
dc.identifier.doi	10.1007/s11012-011-9489-y	en
dc.identifier.volume	47	en
dc.identifier.issue	4	en
dc.identifier.spage	951	en
dc.identifier.epage	967	en