Accurate upper and lower error bounds by solving flux-free local problems in

Two implicit residual type estimators yielding upper bounds of the error are presented which do not require flux equilibration. One of them is based on the ideas introduced in [MAC 00, CAR 99, MOR 03, PRU 02]. The new approach introduced here is based on using the estimated error function rather tha...

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Detalles Bibliográficos
Autores: Díez, Pedro|||0000-0001-6464-6407, Parés Mariné, Núria|||0000-0002-2914-9904, Huerta, Antonio|||0000-0003-4198-3798
Tipo de recurso: artículo
Fecha de publicación:2004
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:2117/8040
Acceso en línea:https://hdl.handle.net/2117/8040
Access Level:acceso abierto
Palabra clave:Computational methods in mechanics
error estimation
flux-free estimates
adaptivity
upper and lower bounds of the error
Elements finits, Mètode dels
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
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repository_id_str
spelling Accurate upper and lower error bounds by solving flux-free local problems inDíez, Pedro|||0000-0001-6464-6407Parés Mariné, Núria|||0000-0002-2914-9904Huerta, Antonio|||0000-0003-4198-3798Computational methods in mechanicserror estimationflux-free estimatesadaptivityupper and lower bounds of the errorElements finits, Mètode delsÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finitsTwo implicit residual type estimators yielding upper bounds of the error are presented which do not require flux equilibration. One of them is based on the ideas introduced in [MAC 00, CAR 99, MOR 03, PRU 02]. The new approach introduced here is based on using the estimated error function rather than the estimated error norms. Once the upper bounds are computed, also lower bounds for the error are obtained with little supplementary effort.Peer Reviewed20042004-12-0120102010-07-07journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/8040reponame: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:2117/80402026-05-27T15:37:01Z
dc.title.none.fl_str_mv Accurate upper and lower error bounds by solving flux-free local problems in
title Accurate upper and lower error bounds by solving flux-free local problems in
spellingShingle Accurate upper and lower error bounds by solving flux-free local problems in
Díez, Pedro|||0000-0001-6464-6407
Computational methods in mechanics
error estimation
flux-free estimates
adaptivity
upper and lower bounds of the error
Elements finits, Mètode dels
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
title_short Accurate upper and lower error bounds by solving flux-free local problems in
title_full Accurate upper and lower error bounds by solving flux-free local problems in
title_fullStr Accurate upper and lower error bounds by solving flux-free local problems in
title_full_unstemmed Accurate upper and lower error bounds by solving flux-free local problems in
title_sort Accurate upper and lower error bounds by solving flux-free local problems in
dc.creator.none.fl_str_mv Díez, Pedro|||0000-0001-6464-6407
Parés Mariné, Núria|||0000-0002-2914-9904
Huerta, Antonio|||0000-0003-4198-3798
author Díez, Pedro|||0000-0001-6464-6407
author_facet Díez, Pedro|||0000-0001-6464-6407
Parés Mariné, Núria|||0000-0002-2914-9904
Huerta, Antonio|||0000-0003-4198-3798
author_role author
author2 Parés Mariné, Núria|||0000-0002-2914-9904
Huerta, Antonio|||0000-0003-4198-3798
author2_role author
author
dc.subject.none.fl_str_mv Computational methods in mechanics
error estimation
flux-free estimates
adaptivity
upper and lower bounds of the error
Elements finits, Mètode dels
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
topic Computational methods in mechanics
error estimation
flux-free estimates
adaptivity
upper and lower bounds of the error
Elements finits, Mètode dels
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
description Two implicit residual type estimators yielding upper bounds of the error are presented which do not require flux equilibration. One of them is based on the ideas introduced in [MAC 00, CAR 99, MOR 03, PRU 02]. The new approach introduced here is based on using the estimated error function rather than the estimated error norms. Once the upper bounds are computed, also lower bounds for the error are obtained with little supplementary effort.
publishDate 2004
dc.date.none.fl_str_mv 2004
2004-12-01
2010
2010-07-07
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/2117/8040
url https://hdl.handle.net/2117/8040
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 15,300719

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