Analysis of the discontinuous Galerkin interior penalty method with solenoidal approximations for the stokes equations

Villardi de Montlaur, Adeline de; Fernández Méndez, Sonia

dc.contributor.author	Villardi de Montlaur, Adeline de
dc.contributor.author	Fernández Méndez, Sonia
dc.contributor.other	Escola d'Enginyeria de Telecomunicació i Aeroespacial de Castelldefels
dc.contributor.other	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned	2015-05-26T10:01:20Z
dc.date.available	2015-05-26T10:01:20Z
dc.date.created	2014
dc.date.issued	2014
dc.identifier.citation	Villardi, A.; Fernandez, S. Analysis of the discontinuous Galerkin interior penalty method with solenoidal approximations for the stokes equations. "International journal of numerical analysis and modeling", 2014, vol. 11, núm. 4, p. 715-725.
dc.identifier.issn	1705-5105
dc.identifier.uri	http://hdl.handle.net/2117/28048
dc.description.abstract	The discontinuous Galerkin Interior Penalty Method with solenoidal approximations proposed in [13] for the incompressible Stokes equations is analyzed. Continuity and coercivity of the bilinear form are proved. A priori error estimates, with optimal convergence rates, are derived. 2D and 3D numerical examples with known analytical solution corroborate the theoretical analysis.
dc.format.extent	11 p.
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
dc.subject.lcsh	Galerkin methods
dc.subject.lcsh	Stokes equations
dc.subject.other	Discontinuous Galerkin
dc.subject.other	Divergence-free
dc.subject.other	Error bounds
dc.subject.other	Incompressible flow
dc.subject.other	Interior penalty method
dc.subject.other	Stokes equations
dc.title	Analysis of the discontinuous Galerkin interior penalty method with solenoidal approximations for the stokes equations
dc.type	Article
dc.subject.lemac	Equacions de Navier-Stokes
dc.subject.lemac	Elements finits, Mètode dels
dc.contributor.group	Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.description.peerreviewed	Peer Reviewed
dc.relation.publisherversion	http://www.math.ualberta.ca/ijnam/Volume-11-2014/No-4-14/2014-04-03.pdf
dc.rights.access	Open Access
local.identifier.drac	14970830
dc.description.version	Postprint (author’s final draft)
local.citation.author	Villardi, A.; Fernandez, S.
local.citation.publicationName	International journal of numerical analysis and modeling
local.citation.volume	11
local.citation.number	4
local.citation.startingPage	715
local.citation.endingPage	725