dc.creator | Chacón Rebollo, Tomás | es |
dc.creator | Domínguez Delgado, Antonio | es |
dc.creator | Gómez Mármol, María Macarena | es |
dc.date.accessioned | 2024-02-15T08:15:07Z | |
dc.date.available | 2024-02-15T08:15:07Z | |
dc.date.issued | 2023-06-09 | |
dc.identifier.citation | Chacón Rebollo, T., Domínguez Delgado, A. y Gómez Mármol, M.M. (2023). A posteriori variational multiscale methods for the 1D convection-diffusion equations. Comptes Rendus. Mécanique, 351 (S1). https://doi.org/10.5802/crmeca.187. | |
dc.identifier.issn | 1631-0721 | es |
dc.identifier.issn | 1873-7234 | es |
dc.identifier.uri | https://hdl.handle.net/11441/155255 | |
dc.description.abstract | The present work is a continuation of a paper presented by the two first authors in the proceedings of the “Computational Science for the 21st century” conference held in Tours in 1997 honouring the 60th birthday of Roland Glowinski. It is devoted to the solution of 1D convection-diffusion equations in dominant convection regime situations. In that paper, an “a posteriori” VMS filtering technique was introduced. We present an extension of this technique to nonlinear convection-diffusion equations (a traffic model), providing an efficient method for the resolution of shocks from just the Galerkin solution at targeted times. We also present a residual-based “a posteriori” VMS filtering, that provides quite accurate stable solutions, can be extended to multi-dimensional problems, and can be applied locally. We finally present some numerical tests exhibiting the high accuracy of the obtained solutions. | es |
dc.format | application/pdf | es |
dc.format.extent | 14 p. | es |
dc.language.iso | eng | es |
dc.publisher | Académie des Sciences | es |
dc.relation.ispartof | Comptes Rendus. Mécanique, 351 (S1). | |
dc.rights | Atribución 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.subject | VMS methods | es |
dc.subject | Dominant convection | es |
dc.subject | A posteriori filtering | es |
dc.subject | Stabilisation | es |
dc.subject | Convection-diffusion equation | es |
dc.subject | Traffic flow equation | es |
dc.title | A posteriori variational multiscale methods for the 1D convection-diffusion equations | es |
dc.type | info:eu-repo/semantics/article | es |
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.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | PID2021-123153OBC21 | es |
dc.relation.projectID | 10.13039/501100011033 | es |
dc.relation.projectID | PID2020-117722RB-I00 | es |
dc.relation.publisherversion | https://comptes-rendus.academie-sciences.fr/mecanique/item/10.5802/crmeca.187.pdf | es |
dc.identifier.doi | 10.5802/crmeca.187 | es |
dc.contributor.group | Universidad de Sevilla. FQM120: Modelado Matemático y Simulación de Sistemas Medioambientales | es |
dc.contributor.group | Universidad de Sevilla. HUM965: Transhumancias: Hábitat, Salud, Patrimonio, Tecnología y Arte | es |
dc.journaltitle | Comptes Rendus. Mécanique | es |
dc.publication.volumen | 351 | es |
dc.publication.issue | S1 | es |
dc.contributor.funder | Ministerio de Ciencia e Innovación (MICIN). España | es |
dc.contributor.funder | Agencia Estatal de Investigación. España | es |