Optimized Schwarz Methods in the Stokes-Darcy Coupling

This article studies optimized Schwarz methods for the Stokes–Darcy problem. Robin transmission conditions are introduced, and the coupled problem is reduced to a suitable interface system that can be solved using Krylov methods. Practical strategies to compute optimal Robin coefficients are propose...

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Detalles Bibliográficos
Autores: Discacciati, M., Gerardo-Giorda, L.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2018
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/874
Acceso en línea:http://hdl.handle.net/20.500.11824/874
https://doi.org/10.1093/imanum/drx054
Access Level:acceso abierto
Palabra clave:Optimized Schwarz Methods
Stokes-Darcy coupling
Domain decomposition methods
Robin interface conditions
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spelling Optimized Schwarz Methods in the Stokes-Darcy CouplingDiscacciati, M.Gerardo-Giorda, L.Optimized Schwarz MethodsStokes-Darcy couplingDomain decomposition methodsRobin interface conditionsThis article studies optimized Schwarz methods for the Stokes–Darcy problem. Robin transmission conditions are introduced, and the coupled problem is reduced to a suitable interface system that can be solved using Krylov methods. Practical strategies to compute optimal Robin coefficients are proposed, which take into account both the physical parameters of the problem and the mesh size. Numerical results show the effectiveness of our approach.European Union Seventh Framework Programme (FP7/2007-2013; grant 294229) to M. Discacciati201820182018info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/874https://doi.org/10.1093/imanum/drx054reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://academic.oup.com/imajna/article-abstract/38/4/1959/4124872?redirectedFrom=fulltextinfo:eu-repo/grantAgreement/MINECO//SEV-2017-0718info:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2014-2017Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/8742026-06-19T12:47:47Z
dc.title.none.fl_str_mv Optimized Schwarz Methods in the Stokes-Darcy Coupling
title Optimized Schwarz Methods in the Stokes-Darcy Coupling
spellingShingle Optimized Schwarz Methods in the Stokes-Darcy Coupling
Discacciati, M.
Optimized Schwarz Methods
Stokes-Darcy coupling
Domain decomposition methods
Robin interface conditions
title_short Optimized Schwarz Methods in the Stokes-Darcy Coupling
title_full Optimized Schwarz Methods in the Stokes-Darcy Coupling
title_fullStr Optimized Schwarz Methods in the Stokes-Darcy Coupling
title_full_unstemmed Optimized Schwarz Methods in the Stokes-Darcy Coupling
title_sort Optimized Schwarz Methods in the Stokes-Darcy Coupling
dc.creator.none.fl_str_mv Discacciati, M.
Gerardo-Giorda, L.
author Discacciati, M.
author_facet Discacciati, M.
Gerardo-Giorda, L.
author_role author
author2 Gerardo-Giorda, L.
author2_role author
dc.subject.none.fl_str_mv Optimized Schwarz Methods
Stokes-Darcy coupling
Domain decomposition methods
Robin interface conditions
topic Optimized Schwarz Methods
Stokes-Darcy coupling
Domain decomposition methods
Robin interface conditions
description This article studies optimized Schwarz methods for the Stokes–Darcy problem. Robin transmission conditions are introduced, and the coupled problem is reduced to a suitable interface system that can be solved using Krylov methods. Practical strategies to compute optimal Robin coefficients are proposed, which take into account both the physical parameters of the problem and the mesh size. Numerical results show the effectiveness of our approach.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018
2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/874
https://doi.org/10.1093/imanum/drx054
url http://hdl.handle.net/20.500.11824/874
https://doi.org/10.1093/imanum/drx054
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://academic.oup.com/imajna/article-abstract/38/4/1959/4124872?redirectedFrom=fulltext
info:eu-repo/grantAgreement/MINECO//SEV-2017-0718
info:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2014-2017
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
reponame_str BIRD. BCAM's Institutional Repository Data
collection BIRD. BCAM's Institutional Repository Data
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repository.mail.fl_str_mv
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