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Convergence results for the vector penalty-projection and two-step artificial compressibility methods
| hal.structure.identifier | analyse appliquée | |
| dc.contributor.author | ANGOT, Philippe | |
| hal.structure.identifier | Équipe EDP et Physique Mathématique | |
| dc.contributor.author | FABRIE, Pierre | |
| dc.date.accessioned | 2024-04-04T02:25:24Z | |
| dc.date.available | 2024-04-04T02:25:24Z | |
| dc.date.created | 2011-07-23 | |
| dc.date.issued | 2012-07 | |
| dc.identifier.issn | 1531-3492 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189884 | |
| dc.description.abstractEn | In this paper, we propose and analyze a new artificial compressibility splitting method which is issued from the recent vector penalty-projection method for the numerical solution of unsteady incompressible viscous flows introduced in [1], [2] and [3]. This method may be viewed as an hybrid two-step prediction-correction method combining an artificial compressibility method and an augmented Lagrangian method without inner iteration. The perturbed system can be viewed as a new approximation to the incompressible Navier-Stokes equations. In the main result, we establish the convergence of solutions to the weak solutions of the Navier-Stokes equations when the penalty parameter tends to zero. | |
| dc.language.iso | en | |
| dc.publisher | American Institute of Mathematical Sciences | |
| dc.subject.en | Artificial compressibility | |
| dc.subject.en | Navier-Stokes equations | |
| dc.subject.en | Vector penalty-projection | |
| dc.subject.en | Pseudo-compressibility | |
| dc.subject.en | Penalty method | |
| dc.title.en | Convergence results for the vector penalty-projection and two-step artificial compressibility methods | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.3934/dcdsb.2012.17.1383 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| dc.subject.hal | Physique [physics]/Physique [physics]/Dynamique des Fluides [physics.flu-dyn] | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph] | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| bordeaux.journal | Discrete and Continuous Dynamical Systems - Series B | |
| bordeaux.page | pp. 1383--1405, communicated by Roger Temam | |
| bordeaux.volume | 17 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 5 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00653113 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00653113v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Discrete%20and%20Continuous%20Dynamical%20Systems%20-%20Series%20B&rft.date=2012-07&rft.volume=17&rft.issue=5&rft.spage=pp.%201383--1405,%20communicated%20by%20Roger%20Temam&rft.epage=pp.%201383--1405,%20communicated%20by%20Roger%20Temam&rft.eissn=1531-3492&rft.issn=1531-3492&rft.au=ANGOT,%20Philippe&FABRIE,%20Pierre&rft.genre=article |
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