An Interface Strip Preconditioner for Domain Decomposition Methods: Application to Hydrology

Autores
Paz, Rodrigo Rafael; Storti, Mario Alberto
Año de publicación
2005
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper, the efficiency of a parallelizable preconditioner for domain decomposition methodsin the context of the solution of non-symmetric linear equations arising from discretization of the Saint-Venant equations, is investigated. The proposed interface strip preconditioner (IS) is based on solving a problem in a narrow strip around the interface. It requires much less memory and computing time than classical Neumann–Neumann preconditioner, and handles correctly the flux splitting among sub-domains that share the interface. The performance of this preconditioner is assessed with an analytical study of Schur complement matrix eigenvalues and numerical experiments conducted in a parallel computational environment (consisting of a Beowulf cluster of 20 nodes).
Fil: Paz, Rodrigo Rafael. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Storti, Mario Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Materia
Domain Decomposition Methods
Parallel Computing
Finite Element Method
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/26622
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling An Interface Strip Preconditioner for Domain Decomposition Methods: Application to HydrologyPaz, Rodrigo RafaelStorti, Mario AlbertoDomain Decomposition MethodsParallel ComputingFinite Element MethodIn this paper, the efficiency of a parallelizable preconditioner for domain decomposition methodsin the context of the solution of non-symmetric linear equations arising from discretization of the Saint-Venant equations, is investigated. The proposed interface strip preconditioner (IS) is based on solving a problem in a narrow strip around the interface. It requires much less memory and computing time than classical Neumann–Neumann preconditioner, and handles correctly the flux splitting among sub-domains that share the interface. The performance of this preconditioner is assessed with an analytical study of Schur complement matrix eigenvalues and numerical experiments conducted in a parallel computational environment (consisting of a Beowulf cluster of 20 nodes).Fil: Paz, Rodrigo Rafael. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; ArgentinaFil: Storti, Mario Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; ArgentinaWiley2005-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/26622Paz, Rodrigo Rafael; Storti, Mario Alberto; An Interface Strip Preconditioner for Domain Decomposition Methods: Application to Hydrology; Wiley; International Journal for Numerical Methods in Engineering; 62; 13; 12-2005; 1873-18940029-5981CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1002/nme.1258info:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1002/nme.1258/abstractinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T10:31:18Zoai:ri.conicet.gov.ar:11336/26622instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-05 10:31:18.696CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv An Interface Strip Preconditioner for Domain Decomposition Methods: Application to Hydrology
title An Interface Strip Preconditioner for Domain Decomposition Methods: Application to Hydrology
spellingShingle An Interface Strip Preconditioner for Domain Decomposition Methods: Application to Hydrology
Paz, Rodrigo Rafael
Domain Decomposition Methods
Parallel Computing
Finite Element Method
title_short An Interface Strip Preconditioner for Domain Decomposition Methods: Application to Hydrology
title_full An Interface Strip Preconditioner for Domain Decomposition Methods: Application to Hydrology
title_fullStr An Interface Strip Preconditioner for Domain Decomposition Methods: Application to Hydrology
title_full_unstemmed An Interface Strip Preconditioner for Domain Decomposition Methods: Application to Hydrology
title_sort An Interface Strip Preconditioner for Domain Decomposition Methods: Application to Hydrology
dc.creator.none.fl_str_mv Paz, Rodrigo Rafael
Storti, Mario Alberto
author Paz, Rodrigo Rafael
author_facet Paz, Rodrigo Rafael
Storti, Mario Alberto
author_role author
author2 Storti, Mario Alberto
author2_role author
dc.subject.none.fl_str_mv Domain Decomposition Methods
Parallel Computing
Finite Element Method
topic Domain Decomposition Methods
Parallel Computing
Finite Element Method
dc.description.none.fl_txt_mv In this paper, the efficiency of a parallelizable preconditioner for domain decomposition methodsin the context of the solution of non-symmetric linear equations arising from discretization of the Saint-Venant equations, is investigated. The proposed interface strip preconditioner (IS) is based on solving a problem in a narrow strip around the interface. It requires much less memory and computing time than classical Neumann–Neumann preconditioner, and handles correctly the flux splitting among sub-domains that share the interface. The performance of this preconditioner is assessed with an analytical study of Schur complement matrix eigenvalues and numerical experiments conducted in a parallel computational environment (consisting of a Beowulf cluster of 20 nodes).
Fil: Paz, Rodrigo Rafael. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Storti, Mario Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
description In this paper, the efficiency of a parallelizable preconditioner for domain decomposition methodsin the context of the solution of non-symmetric linear equations arising from discretization of the Saint-Venant equations, is investigated. The proposed interface strip preconditioner (IS) is based on solving a problem in a narrow strip around the interface. It requires much less memory and computing time than classical Neumann–Neumann preconditioner, and handles correctly the flux splitting among sub-domains that share the interface. The performance of this preconditioner is assessed with an analytical study of Schur complement matrix eigenvalues and numerical experiments conducted in a parallel computational environment (consisting of a Beowulf cluster of 20 nodes).
publishDate 2005
dc.date.none.fl_str_mv 2005-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/26622
Paz, Rodrigo Rafael; Storti, Mario Alberto; An Interface Strip Preconditioner for Domain Decomposition Methods: Application to Hydrology; Wiley; International Journal for Numerical Methods in Engineering; 62; 13; 12-2005; 1873-1894
0029-5981
CONICET Digital
CONICET
url http://hdl.handle.net/11336/26622
identifier_str_mv Paz, Rodrigo Rafael; Storti, Mario Alberto; An Interface Strip Preconditioner for Domain Decomposition Methods: Application to Hydrology; Wiley; International Journal for Numerical Methods in Engineering; 62; 13; 12-2005; 1873-1894
0029-5981
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1002/nme.1258
info:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1002/nme.1258/abstract
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.087074

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