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Artículo

dc.creatorCabrales, Roberto Carloses
dc.creatorGuillén González, Francisco Manueles
dc.creatorGutiérrez Santacreu, Juan Vicentees
dc.date.accessioned2016-05-16T11:37:21Z
dc.date.available2016-05-16T11:37:21Z
dc.date.issued2015
dc.identifier.citationCabrales, R.C., Guillén González, F.M. y Gutiérrez Santacreu, J.V. (2015). A time-splitting finite-element stable approximation for the Ericksen-Leslie equations.
dc.identifier.issn0036-1410es
dc.identifier.issn1095-7154es
dc.identifier.urihttp://hdl.handle.net/11441/41270
dc.description.abstractIn this paper we propose an unconditional energy-stable time-splitting finite-element scheme for approximating the Ericksen–Leslie equations governing the flow of nematic liquid crystals. These equations are to be solved for a velocity vector field and a scalar pressure as well as a director vector field representing the direction along which the molecules of the liquid crystal are oriented. The algorithm is designed at two levels. First, at the variational level, the velocity, pressure, and director are computed separately, but the director field has to be computed together with an auxiliary variable (associated to the equilibrium equation for the director) in order to deduce a priori energy estimates. Second, at the algebraic level, one can avoid computing such an auxiliary variable if this is approximated by a piecewise constant finite-element space. Therefore, these two steps give rise to a numerical algorithm that computes separately only the primary variables: velocity, pressure, and director vector. Moreover, we will use a pressure stabilization technique that allows a stable equal-order interpolation for the velocity and the pressure. Finally, some numerical simulations are performed in order to show the robustness and efficiency of the proposed numerical scheme and its accuracy.es
dc.description.sponsorshipFondo Nacional de Desarrollo Científico y Tecnológicoes
dc.description.sponsorshipMinisterio de Economía y Competitividades
dc.description.sponsorshipMinisterio de Educaciónes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherSociety for Industrial and Applied Mathematicses
dc.relation.ispartofnull
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectnematic liquid crystales
dc.subjectFinite elementses
dc.subjectProjection methodes
dc.subjectTime-splitting methodes
dc.subjectStabilized methodses
dc.titleA time-splitting finite-element stable approximation for the Ericksen-Leslie equationses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numéricoes
dc.relation.projectIDGI 121909/Ces
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/MTM2012-32325es
dc.relation.projectIDJC2011-418es
dc.relation.publisherversionhttp://dx.doi.org/10.1137/140960979es
dc.identifier.doi10.1137/140960979es
idus.format.extent22 p.es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/41270

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