Approximation of the unsteady Brinkman-Forchheimer equations by the pressure stabilization method

Handle URI:
http://hdl.handle.net/10754/625691
Title:
Approximation of the unsteady Brinkman-Forchheimer equations by the pressure stabilization method
Authors:
Louaked, Mohammed ( 0000-0003-4708-0960 ) ; Seloula, Nour; Trabelsi, Saber
Abstract:
In this work, we propose and analyze the pressure stabilization method for the unsteady incompressible Brinkman-Forchheimer equations. We present a time discretization scheme which can be used with any consistent finite element space approximation. Second-order error estimate is proven. Some numerical results are also given.© 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2017
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Louaked M, Seloula N, Trabelsi S (2017) Approximation of the unsteady Brinkman-Forchheimer equations by the pressure stabilization method. Numerical Methods for Partial Differential Equations 33: 1949–1965. Available: http://dx.doi.org/10.1002/num.22173.
Publisher:
Wiley-Blackwell
Journal:
Numerical Methods for Partial Differential Equations
Issue Date:
20-Jul-2017
DOI:
10.1002/num.22173
Type:
Article
ISSN:
0749-159X
Additional Links:
http://onlinelibrary.wiley.com/doi/10.1002/num.22173/full
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorLouaked, Mohammeden
dc.contributor.authorSeloula, Nouren
dc.contributor.authorTrabelsi, Saberen
dc.date.accessioned2017-10-03T12:49:34Z-
dc.date.available2017-10-03T12:49:34Z-
dc.date.issued2017-07-20en
dc.identifier.citationLouaked M, Seloula N, Trabelsi S (2017) Approximation of the unsteady Brinkman-Forchheimer equations by the pressure stabilization method. Numerical Methods for Partial Differential Equations 33: 1949–1965. Available: http://dx.doi.org/10.1002/num.22173.en
dc.identifier.issn0749-159Xen
dc.identifier.doi10.1002/num.22173en
dc.identifier.urihttp://hdl.handle.net/10754/625691-
dc.description.abstractIn this work, we propose and analyze the pressure stabilization method for the unsteady incompressible Brinkman-Forchheimer equations. We present a time discretization scheme which can be used with any consistent finite element space approximation. Second-order error estimate is proven. Some numerical results are also given.© 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2017en
dc.publisherWiley-Blackwellen
dc.relation.urlhttp://onlinelibrary.wiley.com/doi/10.1002/num.22173/fullen
dc.subjectcontinuous dependenceen
dc.subjectstabilityen
dc.subjectbrinkman equationsen
dc.titleApproximation of the unsteady Brinkman-Forchheimer equations by the pressure stabilization methoden
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalNumerical Methods for Partial Differential Equationsen
dc.contributor.institutionLaboratoire de mathématiques Nicolas Oresme, UMR 6139 CNRS BP 5186, Université de Caen Basse Normandieen
kaust.authorTrabelsi, Saberen
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