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
Descripción
Sumario: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.