Error analysis for a monolithic discretization of coupled Darcy and Stokes problems

Handle URI:
http://hdl.handle.net/10754/598209
Title:
Error analysis for a monolithic discretization of coupled Darcy and Stokes problems
Authors:
Girault, V.; Kanschat, G.; Rivière, B.
Abstract:
© de Gruyter 2014. The coupled Stokes and Darcy equations are approximated by a strongly conservative finite element method. The discrete spaces are the divergence-conforming velocity space with matching pressure space such as the Raviart-Thomas spaces. This work proves optimal error estimate of the velocity in the L2 norm in the domain and on the interface. Lipschitz regularity of the interface is sufficient to obtain the results.
Citation:
Girault V, Kanschat G, Rivière B (2014) Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Journal of Numerical Mathematics 22. Available: http://dx.doi.org/10.1515/jnma-2014-0005.
Publisher:
Walter de Gruyter GmbH
Journal:
Journal of Numerical Mathematics
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
1-Jan-2014
DOI:
10.1515/jnma-2014-0005
Type:
Article
ISSN:
1569-3953; 1570-2820
Sponsors:
Supported in part by the National Science Foundation through grants no. DMS-0810387 and DMS-0810422 and by the King Abdullah University of Science and Technology (KAUST) through award no. KUS-C1-016-04. Part of this research was prepared at the Institute for Mathematics and its Applications in Minneapolis. The first author was Visiting Professor at the Mathematics Department of Texas A & M University.
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Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorGirault, V.en
dc.contributor.authorKanschat, G.en
dc.contributor.authorRivière, B.en
dc.date.accessioned2016-02-25T13:14:45Zen
dc.date.available2016-02-25T13:14:45Zen
dc.date.issued2014-01-01en
dc.identifier.citationGirault V, Kanschat G, Rivière B (2014) Error analysis for a monolithic discretization of coupled Darcy and Stokes problems. Journal of Numerical Mathematics 22. Available: http://dx.doi.org/10.1515/jnma-2014-0005.en
dc.identifier.issn1569-3953en
dc.identifier.issn1570-2820en
dc.identifier.doi10.1515/jnma-2014-0005en
dc.identifier.urihttp://hdl.handle.net/10754/598209en
dc.description.abstract© de Gruyter 2014. The coupled Stokes and Darcy equations are approximated by a strongly conservative finite element method. The discrete spaces are the divergence-conforming velocity space with matching pressure space such as the Raviart-Thomas spaces. This work proves optimal error estimate of the velocity in the L2 norm in the domain and on the interface. Lipschitz regularity of the interface is sufficient to obtain the results.en
dc.description.sponsorshipSupported in part by the National Science Foundation through grants no. DMS-0810387 and DMS-0810422 and by the King Abdullah University of Science and Technology (KAUST) through award no. KUS-C1-016-04. Part of this research was prepared at the Institute for Mathematics and its Applications in Minneapolis. The first author was Visiting Professor at the Mathematics Department of Texas A & M University.en
dc.publisherWalter de Gruyter GmbHen
dc.subjectBeavers-Joseph-Saffman conditionen
dc.subjectDarcy-Stokes couplingen
dc.subjectMixed finite elementsen
dc.titleError analysis for a monolithic discretization of coupled Darcy and Stokes problemsen
dc.typeArticleen
dc.identifier.journalJournal of Numerical Mathematicsen
dc.contributor.institutionUniversite Pierre et Marie Curie, Paris, Franceen
dc.contributor.institutionUniversitat Heidelberg, Heidelberg, Germanyen
dc.contributor.institutionRice University, Houston, United Statesen
kaust.grant.numberKUS-C1-016-04en
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