dc.creator | García-Archilla, Bosco | es |
dc.creator | John, Volker | es |
dc.creator | Novo, Julia | es |
dc.date.accessioned | 2024-01-04T10:53:52Z | |
dc.date.available | 2024-01-04T10:53:52Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | García-Archilla, B., John, V. y Novo, J. (2023). POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution. SIAM Journal on Numerical Analysis, 61 (3), 1340-1368. https://doi.org/10.1137/22M1503853. | |
dc.identifier.issn | 0036-1429 | es |
dc.identifier.issn | 1095-7170 | es |
dc.identifier.uri | https://hdl.handle.net/11441/152951 | |
dc.description | SIAM journals are fully compliant with Plan S under the “repository route”, also known as “green open access”. SIAM journal authors are permitted to deposit the Author’s Accepted Manuscript (AAM) in an institutional or subject repository at the time of final publication with a CC BY license or another creative commons license as permitted under Plan S licensing requirements (Last Accessed: March 2022). | es |
dc.description.abstract | In this paper we study the influence of including snapshots that approach the velocitytime derivative in the numerical approximation of the incompressible Navier--Stokes equations bymeans of proper orthogonal decomposition (POD) methods. Our set of snapshots includes thevelocity approximation at the initial time from a full order mixed finite element method (FOM)together with approximations to the time derivative at different times. The approximation at theinitial velocity can be replaced by the mean value of the velocities at the different times so thatwhen implementing the method to the fluctuations, as done mostly in practice, only approximationsto the time derivatives are included in the set of snapshots. For the POD method we study thedifferences between projecting onto L2 and H1. In both cases pointwise in time error bounds canbe proved. Including grad-div stabilization in both the FOM and the POD methods, error boundswith constants independent of inverse powers of the viscosity can be obtained. | es |
dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades PGC2018-096265-B-I00 PID2019-104141GB-I00. | es |
dc.description.sponsorship | Ministerio de Economía PID2019-104141GB-I00 VA169P20 | es |
dc.format | application/pdf | es |
dc.format.extent | 29 p. | es |
dc.language.iso | eng | es |
dc.publisher | Society for Industrial and Applied Mathematics (SIAM) | es |
dc.relation.ispartof | SIAM Journal on Numerical Analysis, 61 (3), 1340-1368. | |
dc.rights | Atribución 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.subject | Incompressible Navier–Stokes equations | es |
dc.subject | Proper orthogonal decomposition | es |
dc.subject | Reduced order models | es |
dc.subject | Snapshots of the temporal derivative | es |
dc.subject | Grad-div stabilization | es |
dc.subject | Robust pointwise in time estimates | es |
dc.title | POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | 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.date.embargoEndDate | | |
dc.relation.publisherversion | https://epubs.siam.org/doi/full/10.1137/22M1503853 | es |
dc.identifier.doi | 10.1137/22M1503853 | es |
dc.contributor.group | Universidad de Sevilla. TIC130: Investigación en Sistemas Dinámicos en Ingeniería | es |
dc.journaltitle | SIAM Journal on Numerical Analysis | es |
dc.publication.volumen | 61 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 1340 | es |
dc.publication.endPage | 1368 | es |
dc.contributor.funder | Ministerio de Ciencia, Innovación y Universidades (MICINN). España | es |
dc.contributor.funder | Ministerio de Economía. España | es |