Integration-free Coons macroelements for the solution of 2D Poisson problems

Provatidis, CG

dc.contributor.author	Provatidis, CG	en
dc.date.accessioned	2014-03-01T01:30:56Z
dc.date.available	2014-03-01T01:30:56Z
dc.date.issued	2009	en
dc.identifier.issn	0029-5981	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19682
dc.subject	finite elements	en
dc.subject	transfinite interpolation	en
dc.subject	global approximation	en
dc.subject	boundary-value problems	en
dc.subject	global collocation	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	FINITE-ELEMENT-METHOD	en
dc.subject.other	RADIAL BASIS FUNCTION	en
dc.subject.other	BOUNDARY COLLOCATION METHOD	en
dc.subject.other	WAVE-PROPAGATION PROBLEMS	en
dc.subject.other	FREE-VIBRATION ANALYSIS	en
dc.subject.other	B-SPLINE COLLOCATION	en
dc.subject.other	PATCH MACROELEMENTS	en
dc.subject.other	ACOUSTIC EIGENANALYSIS	en
dc.subject.other	POTENTIAL PROBLEMS	en
dc.subject.other	INTERPOLATION	en
dc.title	Integration-free Coons macroelements for the solution of 2D Poisson problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/nme.2424	en
heal.identifier.secondary	http://dx.doi.org/10.1002/nme.2424	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	Large isoparametric macroelements with closed-form cardinal global shape functions under the label 'Coons-patch macroelements' (CPM) have been previously proposed and used in conjunction with the finite element method and the boundary element method. This paper continues the research on the performance of CPM in conjunction with the collocation method. In contrast to the previous CPM that was based on a Galerkin/Ritz formulation, no domain integration is now required, a fact that justifies the name 'integration-free Coons macroelements. Therefore, in addition to avoiding mesh generation, and saving human effort, the proposed technique has the additional advantage of further reducing the computer effort. The theory is supported by five test cases concerning Poisson and Laplace problems within 2D smooth quadrilateral domains. Copyright (C) 2008 John Wiley & Sons, Ltd.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING	en
dc.identifier.doi	10.1002/nme.2424	en
dc.identifier.isi	ISI:000262546100005	en
dc.identifier.volume	77	en
dc.identifier.issue	4	en
dc.identifier.spage	536	en
dc.identifier.epage	557	en