Error analysis of discontinuous Galerkin methods for Stokes problem under minimal regularity

In this article, we analyze several discontinuous Galerkin methods (DG) for the Stokes problem under the minimal regularity on the solution. We assume that the velocity u belongs to [H1 0 (­)]d and the pressure p 2 L2 0 (­). First, we analyze standard DG methods assuming that the right hand side f b...

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Detalles Bibliográficos
Autores: Badia, Santiago|||0000-0003-2391-4086, Codina, Ramon|||0000-0002-7412-778X, Gudi, Thirupathi, Guzmán, Johnny
Tipo de recurso: informe técnico
Fecha de publicación:2012
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/16922
Acceso en línea:https://hdl.handle.net/2117/16922
Access Level:acceso abierto
Palabra clave:Galerkin methods
Navier-Stokes equations
Equacions de Navier-Stokes
Metode Galerkin discontinu
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
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repository_id_str
spelling Error analysis of discontinuous Galerkin methods for Stokes problem under minimal regularityBadia, Santiago|||0000-0003-2391-4086Codina, Ramon|||0000-0002-7412-778XGudi, ThirupathiGuzmán, JohnnyGalerkin methodsNavier-Stokes equationsEquacions de Navier-StokesMetode Galerkin discontinuÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finitsIn this article, we analyze several discontinuous Galerkin methods (DG) for the Stokes problem under the minimal regularity on the solution. We assume that the velocity u belongs to [H1 0 (­)]d and the pressure p 2 L2 0 (­). First, we analyze standard DG methods assuming that the right hand side f belongs to [H¡1(­) \ L1(­)]d. A DG method that is well de¯ned for f belonging to [H¡1(­)]d is then investigated. The methods under study include stabilized DG methods using equal order spaces and inf-sup stable ones where the pressure space is one polynomial degree less than the velocity space.20122012-01-0120122012-11-14reporthttp://purl.org/coar/resource_type/c_93fcAOhttp://purl.org/coar/version/c_b1a7d7d4d402bcceinfo:eu-repo/semantics/reportapplication/pdfhttps://hdl.handle.net/2117/16922reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/169222026-05-27T15:37:01Z
dc.title.none.fl_str_mv Error analysis of discontinuous Galerkin methods for Stokes problem under minimal regularity
title Error analysis of discontinuous Galerkin methods for Stokes problem under minimal regularity
spellingShingle Error analysis of discontinuous Galerkin methods for Stokes problem under minimal regularity
Badia, Santiago|||0000-0003-2391-4086
Galerkin methods
Navier-Stokes equations
Equacions de Navier-Stokes
Metode Galerkin discontinu
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
title_short Error analysis of discontinuous Galerkin methods for Stokes problem under minimal regularity
title_full Error analysis of discontinuous Galerkin methods for Stokes problem under minimal regularity
title_fullStr Error analysis of discontinuous Galerkin methods for Stokes problem under minimal regularity
title_full_unstemmed Error analysis of discontinuous Galerkin methods for Stokes problem under minimal regularity
title_sort Error analysis of discontinuous Galerkin methods for Stokes problem under minimal regularity
dc.creator.none.fl_str_mv Badia, Santiago|||0000-0003-2391-4086
Codina, Ramon|||0000-0002-7412-778X
Gudi, Thirupathi
Guzmán, Johnny
author Badia, Santiago|||0000-0003-2391-4086
author_facet Badia, Santiago|||0000-0003-2391-4086
Codina, Ramon|||0000-0002-7412-778X
Gudi, Thirupathi
Guzmán, Johnny
author_role author
author2 Codina, Ramon|||0000-0002-7412-778X
Gudi, Thirupathi
Guzmán, Johnny
author2_role author
author
author
dc.subject.none.fl_str_mv Galerkin methods
Navier-Stokes equations
Equacions de Navier-Stokes
Metode Galerkin discontinu
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
topic Galerkin methods
Navier-Stokes equations
Equacions de Navier-Stokes
Metode Galerkin discontinu
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
description In this article, we analyze several discontinuous Galerkin methods (DG) for the Stokes problem under the minimal regularity on the solution. We assume that the velocity u belongs to [H1 0 (­)]d and the pressure p 2 L2 0 (­). First, we analyze standard DG methods assuming that the right hand side f belongs to [H¡1(­) \ L1(­)]d. A DG method that is well de¯ned for f belonging to [H¡1(­)]d is then investigated. The methods under study include stabilized DG methods using equal order spaces and inf-sup stable ones where the pressure space is one polynomial degree less than the velocity space.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-01
2012
2012-11-14
dc.type.none.fl_str_mv report
http://purl.org/coar/resource_type/c_93fc
AO
http://purl.org/coar/version/c_b1a7d7d4d402bcce
dc.type.openaire.fl_str_mv info:eu-repo/semantics/report
format report
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/16922
url https://hdl.handle.net/2117/16922
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300724

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