On the asymptotic exactness of Bank-Weiser's estimator

Autores
Durán, Ricardo Guillermo; Rodríguez, Rodolfo
Año de publicación
1992
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we analyze an error estimator introduced by Bank and Weiser. We prove that this estimator is asymptotically exact in the energy norm for regular solutions and parallel meshes. By considering a simple example we show that this is not true for general meshes.
Departamento de Matemática
Materia
Matemática
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/140889
Acceder
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spelling On the asymptotic exactness of Bank-Weiser's estimatorDurán, Ricardo GuillermoRodríguez, RodolfoMatemáticaIn this paper we analyze an error estimator introduced by Bank and Weiser. We prove that this estimator is asymptotically exact in the energy norm for regular solutions and parallel meshes. By considering a simple example we show that this is not true for general meshes.Departamento de Matemática1992info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf297-303http://sedici.unlp.edu.ar/handle/10915/140889enginfo:eu-repo/semantics/altIdentifier/issn/0029-599Xinfo:eu-repo/semantics/altIdentifier/issn/0945-3245info:eu-repo/semantics/altIdentifier/doi/10.1007/bf01396231info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T17:12:51Zoai:sedici.unlp.edu.ar:10915/140889Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:12:51.554SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv On the asymptotic exactness of Bank-Weiser's estimator
title On the asymptotic exactness of Bank-Weiser's estimator
spellingShingle On the asymptotic exactness of Bank-Weiser's estimator
Durán, Ricardo Guillermo
Matemática
title_short On the asymptotic exactness of Bank-Weiser's estimator
title_full On the asymptotic exactness of Bank-Weiser's estimator
title_fullStr On the asymptotic exactness of Bank-Weiser's estimator
title_full_unstemmed On the asymptotic exactness of Bank-Weiser's estimator
title_sort On the asymptotic exactness of Bank-Weiser's estimator
dc.creator.none.fl_str_mv Durán, Ricardo Guillermo
Rodríguez, Rodolfo
author Durán, Ricardo Guillermo
author_facet Durán, Ricardo Guillermo
Rodríguez, Rodolfo
author_role author
author2 Rodríguez, Rodolfo
author2_role author
dc.subject.none.fl_str_mv Matemática
topic Matemática
dc.description.none.fl_txt_mv In this paper we analyze an error estimator introduced by Bank and Weiser. We prove that this estimator is asymptotically exact in the energy norm for regular solutions and parallel meshes. By considering a simple example we show that this is not true for general meshes.
Departamento de Matemática
description In this paper we analyze an error estimator introduced by Bank and Weiser. We prove that this estimator is asymptotically exact in the energy norm for regular solutions and parallel meshes. By considering a simple example we show that this is not true for general meshes.
publishDate 1992
dc.date.none.fl_str_mv 1992
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/140889
url http://sedici.unlp.edu.ar/handle/10915/140889
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0029-599X
info:eu-repo/semantics/altIdentifier/issn/0945-3245
info:eu-repo/semantics/altIdentifier/doi/10.1007/bf01396231
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
297-303
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 12.982451

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