Lagrangian and moving mesh methods for the convection diffusion equation

Chrysafinos, K; Walkington, NJ

dc.contributor.author	Chrysafinos, K	en
dc.contributor.author	Walkington, NJ	en
dc.date.accessioned	2014-03-01T01:28:43Z
dc.date.available	2014-03-01T01:28:43Z
dc.date.issued	2008	en
dc.identifier.issn	0764-583X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18937
dc.subject	Convection diffusion	en
dc.subject	Lagrangian formulation	en
dc.subject	Moving meshes	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	FINITE-ELEMENT	en
dc.subject.other	GALERKIN APPROXIMATIONS	en
dc.subject.other	PARABOLIC EQUATIONS	en
dc.title	Lagrangian and moving mesh methods for the convection diffusion equation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1051/m2an:2007053	en
heal.identifier.secondary	http://dx.doi.org/10.1051/m2an:2007053	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	We propose and analyze a semi Lagrangian method for the convection-diffusion equation. Error estimates for both semi and fully discrete finite element approximations are obtained for convection dominated flows. The estimates are posed in terms of the projections constructed in [Chrysafinos and Walkington, SIAM J. Numer. Anal. 43 (2006) 2478-2499; Chrysafinos and Walkington, SIAM J. Numer. Anal. 44 (2006) 349-366] and the dependence of various constants upon the diffusion parameter is characterized. Error estimates independent of the diffusion constant are obtained when the velocity field is computed exactly. © EDP Sciences.	en
heal.publisher	EDP SCIENCES S A	en
heal.journalName	Mathematical Modelling and Numerical Analysis	en
dc.identifier.doi	10.1051/m2an:2007053	en
dc.identifier.isi	ISI:000252311500002	en
dc.identifier.volume	42	en
dc.identifier.issue	1	en
dc.identifier.spage	25	en
dc.identifier.epage	55	en