A posteriori error estimates in finite element acoustic analysis

Autores
Alonso, Ana Esther; Dello Russo, Anahí; Vampa, Victoria
Año de publicación
2000
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present an a posteriori error estimator for the approximations of the acoustic vibration modes obtained by a finite element method which does not present spurious or circulation modes for non zero frequencies. We prove that the proposed estimator is equivalent to the error in the approximation of the eigenvectors up to higher order terms with constants independent of the eigenvalues. Numerical results for some test examples are presented which show the good behavior of the estimator when it is used as local error indicator for adaptive refinement.
Facultad de Ciencias Exactas
Materia
Matemática
A posteriori error estimate
Adaptive mesh-refinement technique
Eigenvalue problem
Finite element method
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/83425
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/83425
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling A posteriori error estimates in finite element acoustic analysisAlonso, Ana EstherDello Russo, AnahíVampa, VictoriaMatemáticaA posteriori error estimateAdaptive mesh-refinement techniqueEigenvalue problemFinite element methodWe present an a posteriori error estimator for the approximations of the acoustic vibration modes obtained by a finite element method which does not present spurious or circulation modes for non zero frequencies. We prove that the proposed estimator is equivalent to the error in the approximation of the eigenvectors up to higher order terms with constants independent of the eigenvalues. Numerical results for some test examples are presented which show the good behavior of the estimator when it is used as local error indicator for adaptive refinement.Facultad de Ciencias Exactas2000info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf105-119http://sedici.unlp.edu.ar/handle/10915/83425enginfo:eu-repo/semantics/altIdentifier/issn/0377-0427info:eu-repo/semantics/altIdentifier/doi/10.1016/S0377-0427(99)00335-0info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T10:48:09Zoai:sedici.unlp.edu.ar:10915/83425Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 10:48:09.854SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv A posteriori error estimates in finite element acoustic analysis
title A posteriori error estimates in finite element acoustic analysis
spellingShingle A posteriori error estimates in finite element acoustic analysis
Alonso, Ana Esther
Matemática
A posteriori error estimate
Adaptive mesh-refinement technique
Eigenvalue problem
Finite element method
title_short A posteriori error estimates in finite element acoustic analysis
title_full A posteriori error estimates in finite element acoustic analysis
title_fullStr A posteriori error estimates in finite element acoustic analysis
title_full_unstemmed A posteriori error estimates in finite element acoustic analysis
title_sort A posteriori error estimates in finite element acoustic analysis
dc.creator.none.fl_str_mv Alonso, Ana Esther
Dello Russo, Anahí
Vampa, Victoria
author Alonso, Ana Esther
author_facet Alonso, Ana Esther
Dello Russo, Anahí
Vampa, Victoria
author_role author
author2 Dello Russo, Anahí
Vampa, Victoria
author2_role author
author
dc.subject.none.fl_str_mv Matemática
A posteriori error estimate
Adaptive mesh-refinement technique
Eigenvalue problem
Finite element method
topic Matemática
A posteriori error estimate
Adaptive mesh-refinement technique
Eigenvalue problem
Finite element method
dc.description.none.fl_txt_mv We present an a posteriori error estimator for the approximations of the acoustic vibration modes obtained by a finite element method which does not present spurious or circulation modes for non zero frequencies. We prove that the proposed estimator is equivalent to the error in the approximation of the eigenvectors up to higher order terms with constants independent of the eigenvalues. Numerical results for some test examples are presented which show the good behavior of the estimator when it is used as local error indicator for adaptive refinement.
Facultad de Ciencias Exactas
description We present an a posteriori error estimator for the approximations of the acoustic vibration modes obtained by a finite element method which does not present spurious or circulation modes for non zero frequencies. We prove that the proposed estimator is equivalent to the error in the approximation of the eigenvectors up to higher order terms with constants independent of the eigenvalues. Numerical results for some test examples are presented which show the good behavior of the estimator when it is used as local error indicator for adaptive refinement.
publishDate 2000
dc.date.none.fl_str_mv 2000
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/10915/83425
url http://sedici.unlp.edu.ar/handle/10915/83425
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0377-0427
info:eu-repo/semantics/altIdentifier/doi/10.1016/S0377-0427(99)00335-0
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
105-119
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 13.13397

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