dc.creator | Chacón Rebollo, Tomás | es |
dc.creator | Girault, Vivette | es |
dc.creator | Gómez Mármol, María Macarena | es |
dc.creator | Sánchez Muñoz, Isabel María | es |
dc.date.accessioned | 2016-06-29T09:20:18Z | |
dc.date.available | 2016-06-29T09:20:18Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Chacón Rebollo, T., Girault, V., Gómez Mármol, M.M. y Sánchez Muñoz, I.M. (2015). A reduced discrete inf-sup condition in Lp for incompressible flows and application. ESAIM: Mathematical Modelling and Numerical Analysis, 49, 1219-1238. | |
dc.identifier.issn | 0764-583X | es |
dc.identifier.issn | 1290-3841 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42896 | |
dc.description.abstract | In this work, we introduce a discrete specific inf-sup condition to estimate the Lp norm, 1 <p< +∞, of the pressure in a number of fluid flows. It applies to projection-based stabilized finite element discretizations of incompressible flows, typically when the velocity field has a low regularity. We derive two versions of this inf-sup condition: The first one holds on shape-regular meshes and the second one on quasi-uniform meshes. As an application, we derive reduced inf-sup conditions for the linearized Primitive equations of the Ocean that apply to the surface pressure in weighted Lp norm. This allows to prove the stability and convergence of quite general stabilized discretizations of these equations: SUPG, Least Squares, Adjoint-stabilized and OSS discretizations. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | EDP Sciences | es |
dc.relation.ispartof | ESAIM: Mathematical Modelling and Numerical Analysis, 49, 1219-1238. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Inf-sup condition | es |
dc.subject | Finite element method | es |
dc.subject | stabilized method | es |
dc.subject | incompressible flows | es |
dc.subject | primitive equations of the Ocean | es |
dc.title | A reduced discrete inf-sup condition in Lp for incompressible flows and application | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | MTM2012 36124-C02-1 | es |
dc.identifier.doi | 10.1051/m2an/2015008 | es |
dc.contributor.group | Universidad de Sevilla. FQM120: Modelado Matemático y Simulación de Sistemas Medioambientales | es |
idus.format.extent | 20 p. | es |
dc.journaltitle | ESAIM: Mathematical Modelling and Numerical Analysis | es |
dc.publication.volumen | 49 | es |
dc.publication.initialPage | 1219 | es |
dc.publication.endPage | 1238 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42896 | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | |