dc.creator | Gatica Pérez, Gabriel Nibaldo | es |
dc.creator | Ruiz Baier, Ricardo | es |
dc.creator | Tierra Chica, Giordano | es |
dc.date.accessioned | 2016-11-29T11:50:40Z | |
dc.date.available | 2016-11-29T11:50:40Z | |
dc.date.issued | 2016-11 | |
dc.identifier.citation | Gatica Pérez, G.N., Ruiz Baier, R. y Tierra Chica, G. (2016). A posteriori error analysis of an augmented mixed method for the Navier-Stokes equations with nonlinear viscosity. Computers and Mathematics with Applications, 72 (9), 2289-2310. | |
dc.identifier.issn | 0898-1221 | es |
dc.identifier.uri | http://hdl.handle.net/11441/49321 | |
dc.description.abstract | In this work we develop the a posteriori error analysis of an augmented mixed finite element method for the 2D and 3D versions of the Navier-Stokes equations when the viscosity depends nonlinearly on the module of the velocity gradient. Two different reliable and efficient residual-based a posteriori error estimators for this problem on arbitrary (convex or non-convex) polygonal and polyhedral regions are derived. Our analysis of reliability of the proposed estimators draws mainly upon the global inf-sup condition satisfied by a suitable linearization of the continuous formulation, an application of Helmholtz decomposition, and the local approximation properties of the Raviart-Thomas and Clément interpolation operators. In addition, differently from previous approaches for augmented mixed formulations, the boundedness of the Clément operator plays now an interesting role in the reliability estimate. On the other hand, inverse and discrete inequalities, and the localization technique based on triangle-bubble and edge-bubble functions are utilized to show their efficiency. Finally, several numerical results are provided to illustrate the good performance
of the augmented mixed method, to confirm the aforementioned properties of the a posteriori error estimators, and to show the behaviour of the associated adaptive algorithm. | es |
dc.description.sponsorship | Centre for Mathematical Modeling (Universidad de Chile) | es |
dc.description.sponsorship | Centro de Investigación en Ingeniería Matemática (Universidad de Concepción) | es |
dc.description.sponsorship | Comisión Nacional de Investigación Científica y Tecnológica (Chile) | es |
dc.description.sponsorship | Swiss National Science Foundation | es |
dc.description.sponsorship | Elsevier Mathematical Sciences Sponsorship Fund | es |
dc.description.sponsorship | Ministry of Education, Youth and Sports of the Czech Republic | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Computers and Mathematics with Applications, 72 (9), 2289-2310. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | A posteriori | es |
dc.subject | Mixed-FEM | es |
dc.subject | Navier-Stokes | es |
dc.subject | Nonlinear viscosity | es |
dc.subject | Augmented | es |
dc.title | A posteriori error analysis of an augmented mixed method for the Navier-Stokes equations with nonlinear viscosity | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | 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 | Anillo ACT1118 | es |
dc.relation.projectID | SNSF PP00P2-144922 | es |
dc.relation.projectID | ERC-CZ LL1202 | es |
dc.relation.publisherversion | http://ac.els-cdn.com/S0898122116304862/1-s2.0-S0898122116304862-main.pdf?_tid=056229b6-b629-11e6-911d-00000aacb361&acdnat=1480419978_f1324a197125be6a8914f8eb76b285df | es |
dc.identifier.doi | 10.1016/j.camwa.2016.08.032 | es |
dc.contributor.group | Universidad de Sevilla. FQM131: Ec.diferenciales,Simulación Num.y Desarrollo Software | es |
idus.format.extent | 29 p. | es |
dc.journaltitle | Computers and Mathematics with Applications | es |
dc.publication.volumen | 72 | es |
dc.publication.issue | 9 | es |
dc.publication.initialPage | 2289 | es |
dc.publication.endPage | 2310 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/49321 | |