Balancing domain decomposition by constraints associated with subobjects

A simple variant of the BDDC preconditioner in which constraints are imposed on a selected set of subobjects (subdomain subedges, subfaces and vertices between pairs of subedges) is presented. We are able to show that the condition number of the preconditioner is bounded by C(1+log(L/h))2, where C i...

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Detalles Bibliográficos
Autores: Badia, Santiago|||0000-0003-2391-4086, Martín Huertas, Alberto Francisco|||0000-0001-5751-4561, Nguyen, Hieu Trung
Tipo de recurso: artículo
Fecha de publicación:2018
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:2117/121251
Acceso en línea:https://hdl.handle.net/2117/121251
https://dx.doi.org/10.1016/j.aml.2018.07.033
Access Level:acceso abierto
Palabra clave:Numerical analysis
BDDC FETI-DP Optimal preconditioner Parallel solver Heterogeneous problems
Anàlisi numèrica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
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network_acronym_str ES
network_name_str España
repository_id_str
spelling Balancing domain decomposition by constraints associated with subobjectsBadia, Santiago|||0000-0003-2391-4086Martín Huertas, Alberto Francisco|||0000-0001-5751-4561Nguyen, Hieu TrungNumerical analysisBDDC FETI-DP Optimal preconditioner Parallel solver Heterogeneous problemsAnàlisi numèricaÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèricaA simple variant of the BDDC preconditioner in which constraints are imposed on a selected set of subobjects (subdomain subedges, subfaces and vertices between pairs of subedges) is presented. We are able to show that the condition number of the preconditioner is bounded by C(1+log(L/h))2, where C is a constant, and h and L are the characteristic sizes of the mesh and the subobjects, respectively. As L can be chosen almost freely, the condition number can theoretically be as small as O(1). We will discuss the pros and cons of the preconditioner and its application to heterogeneous problems. Numerical results on supercomputers are provided.Peer ReviewedElsevier20192019-01-0120182018-09-18journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/121251https://dx.doi.org/10.1016/j.aml.2018.07.033reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1212512026-05-27T15:37:01Z
dc.title.none.fl_str_mv Balancing domain decomposition by constraints associated with subobjects
title Balancing domain decomposition by constraints associated with subobjects
spellingShingle Balancing domain decomposition by constraints associated with subobjects
Badia, Santiago|||0000-0003-2391-4086
Numerical analysis
BDDC FETI-DP Optimal preconditioner Parallel solver Heterogeneous problems
Anàlisi numèrica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
title_short Balancing domain decomposition by constraints associated with subobjects
title_full Balancing domain decomposition by constraints associated with subobjects
title_fullStr Balancing domain decomposition by constraints associated with subobjects
title_full_unstemmed Balancing domain decomposition by constraints associated with subobjects
title_sort Balancing domain decomposition by constraints associated with subobjects
dc.creator.none.fl_str_mv Badia, Santiago|||0000-0003-2391-4086
Martín Huertas, Alberto Francisco|||0000-0001-5751-4561
Nguyen, Hieu Trung
author Badia, Santiago|||0000-0003-2391-4086
author_facet Badia, Santiago|||0000-0003-2391-4086
Martín Huertas, Alberto Francisco|||0000-0001-5751-4561
Nguyen, Hieu Trung
author_role author
author2 Martín Huertas, Alberto Francisco|||0000-0001-5751-4561
Nguyen, Hieu Trung
author2_role author
author
dc.subject.none.fl_str_mv Numerical analysis
BDDC FETI-DP Optimal preconditioner Parallel solver Heterogeneous problems
Anàlisi numèrica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
topic Numerical analysis
BDDC FETI-DP Optimal preconditioner Parallel solver Heterogeneous problems
Anàlisi numèrica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
description A simple variant of the BDDC preconditioner in which constraints are imposed on a selected set of subobjects (subdomain subedges, subfaces and vertices between pairs of subedges) is presented. We are able to show that the condition number of the preconditioner is bounded by C(1+log(L/h))2, where C is a constant, and h and L are the characteristic sizes of the mesh and the subobjects, respectively. As L can be chosen almost freely, the condition number can theoretically be as small as O(1). We will discuss the pros and cons of the preconditioner and its application to heterogeneous problems. Numerical results on supercomputers are provided.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-09-18
2019
2019-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/121251
https://dx.doi.org/10.1016/j.aml.2018.07.033
url https://hdl.handle.net/2117/121251
https://dx.doi.org/10.1016/j.aml.2018.07.033
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
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
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
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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 15.300719

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