dc.creator | García-Archilla, Bosco | es |
dc.creator | Novo, Julia | es |
dc.creator | Rubino, Samuele | es |
dc.date.accessioned | 2022-07-01T15:56:46Z | |
dc.date.available | 2022-07-01T15:56:46Z | |
dc.date.issued | 2022-09 | |
dc.identifier.citation | García Archilla, J.B., Novo, J. y Rubino, S. (2022). Error analysis of proper orthogonal decomposition data assimilation schemes with grad–div stabilization for the Navier–Stokes equations. Journal of Computational and Applied Mathematics, 411, 114246. | |
dc.identifier.issn | 0377-0427 | es |
dc.identifier.uri | https://hdl.handle.net/11441/134932 | |
dc.description.abstract | The error analysis of a proper orthogonal decomposition (POD) data assimilation (DA) scheme for the Navier–Stokes equations is carried out. A grad–div stabilization term is added to the formulation of the POD method. Error bounds with constants independent on inverse powers of the viscosity parameter are derived for the POD algorithm. No upper bounds in the nudging parameter of the data assimilation method are required. Numerical experiments show that, for large values of the nudging parameter, the proposed method rapidly converges to the real solution, and greatly improves the overall accuracy of standard POD schemes up to low viscosities over predictive time intervals. | es |
dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades PGC2018-096265-B-I00 and PID2019-104141GB-I00 | es |
dc.description.sponsorship | Ministerio de Asuntos Económicos y Transformación Digital PID2019-104141GB-I00 and VA169P20 | es |
dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades RTI2018-093521-B-C31 | es |
dc.format | application/pdf | es |
dc.format.extent | 30 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Computational and Applied Mathematics, 411, 114246. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Data assimilation | es |
dc.subject | Navie–Stokes equations | es |
dc.subject | Uniform-in-time error estimates | es |
dc.subject | Proper orthogonal decomposition | es |
dc.subject | Fully discrete schemes | es |
dc.subject | Mixed finite elements methods | es |
dc.title | Error analysis of proper orthogonal decomposition data assimilation schemes with grad–div stabilization for the Navier–Stokes 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 Matemática Aplicada II (ETSI) | es |
dc.relation.projectID | PGC2018-096265-B-I00 | es |
dc.relation.projectID | PID2019-104141GB-I00 | es |
dc.relation.projectID | VA169P20 | es |
dc.relation.projectID | RTI2018-093521-B-C31 | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0377042722000954 | es |
dc.identifier.doi | 10.1016/j.cam.2022.114246 | es |
dc.journaltitle | Journal of Computational and Applied Mathematics | es |
dc.publication.volumen | 411 | es |
dc.publication.initialPage | 114246 | es |