Solution of two-dimensional Poisson problems in quadrilateral domains using transfinite Coons interpolation

Provatidis, CG

dc.contributor.author	Provatidis, CG	en
dc.date.accessioned	2014-03-01T01:21:26Z
dc.date.available	2014-03-01T01:21:26Z
dc.date.issued	2004	en
dc.identifier.issn	1069-8299	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16240
dc.subject	Finite elements	en
dc.subject	Global approximation	en
dc.subject	Macro elements	en
dc.subject	Poisson problems	en
dc.subject	Transfinite Coons interpolation	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Approximation theory	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Finite element method	en
dc.subject.other	Interpolation	en
dc.subject.other	Poisson equation	en
dc.subject.other	Problem solving	en
dc.subject.other	Neuman boundary conditions	en
dc.subject.other	Two dimensional Poisson problems	en
dc.subject.other	Boundary value problems	en
dc.subject.other	mathematical analysis	en
dc.title	Solution of two-dimensional Poisson problems in quadrilateral domains using transfinite Coons interpolation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/cnm.690	en
heal.identifier.secondary	http://dx.doi.org/10.1002/cnm.690	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	This paper proposes a global approximation method to solve elliptic boundary value Poisson problems in arbitrary shaped 2-D domains. Using transfinite interpolation, a symmetric finite element formulation is derived for degrees of freedom arranged mostly along the boundary of the domain. In cases where both Dirichlet and Neumann boundary conditions occur, the numerical solution is based on bivariate Coons interpolation using the boundary only. Furthermore, in case of only Dirichlet boundary conditions and no existing axes of symmetry, it is proposed to use at least one internal point and apply transfinite interpolation. The theory is sustained by five numerical examples applied to domains of square, circular and elliptic shape. Copyright (C) 2004 John Wiley Sons, Ltd.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	Communications in Numerical Methods in Engineering	en
dc.identifier.doi	10.1002/cnm.690	en
dc.identifier.isi	ISI:000222538700003	en
dc.identifier.volume	20	en
dc.identifier.issue	7	en
dc.identifier.spage	521	en
dc.identifier.epage	533	en