A global collocation method for two-dimensional rectangular domains

Provatidis, CG

dc.contributor.author	Provatidis, CG	en
dc.date.accessioned	2014-03-01T01:27:41Z
dc.date.available	2014-03-01T01:27:41Z
dc.date.issued	2008	en
dc.identifier.issn	1559-3959	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18538
dc.subject	global collocation	en
dc.subject	Coons interpolation	en
dc.subject	Poisson's equation	en
dc.subject.classification	Materials Science, Multidisciplinary	en
dc.subject.classification	Mechanics	en
dc.subject.other	COONS-PATCH MACROELEMENTS	en
dc.subject.other	APPROXIMATIONS	en
dc.subject.other	SPACES	en
dc.title	A global collocation method for two-dimensional rectangular domains	en
heal.type	journalArticle	en
heal.identifier.primary	10.2140/jomms.2008.3.185	en
heal.identifier.secondary	http://dx.doi.org/10.2140/jomms.2008.3.185	en
heal.identifier.secondary	10.2140/jomms.2008.3.185	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	This paper proposes the use of a global collocation procedure in conjunction with a previously developed functional set suitable for the numerical solution of Poisson's equation in rectangular domains. We propose to expand the unknown variable in a bivariate series of monomials x(i)y(i) that exist in Pascal's triangle. We also propose the use of the bivariate Gordon-Coons interpolation, apart from previous intuitive choices of the aforementioned monomials. The theory is sustained by two numerical examples of Dirichlet boundary conditions, in which we find that the approximate solution monotonically converges towards the exact solution.	en
heal.publisher	MATHEMATICAL SCIENCE PUBL	en
heal.journalName	JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES	en
dc.identifier.doi	10.2140/jomms.2008.3.185	en
dc.identifier.isi	ISI:000256438700010	en
dc.identifier.volume	3	en
dc.identifier.issue	1	en