A posteriori error estimates in finite element solution of structure vibration problems with applications to acoustical fluid-structure analysis

Autores
Alonso, Ana Esther; Dello Russo, Anahí; Vampa, Victoria Cristina
Año de publicación
1999
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present an a posteriori error estimator for piecewise linear finite element approximations of structure vibration problems. We prove that this estimator is equivalent to the energy norm of the error. Also, we introduce an adaptive mesh-refinement procedure based on the proposed estimator to analize fluid-structure interaction problems. Finally, numerical results for some test examples are presented which show the efficiency of the error estimator and the mesh-refinement techniques.
Departamento de Matemática
Materia
Ciencias Exactas
Matemática
piecewise linear finite element
error estimator
mesh-refinement
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:10915/131074

id SEDICI_31f3d75655cc948b7b2b9085be7e1539
oai_identifier_str oai:sedici.unlp.edu.ar:10915/131074
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling A posteriori error estimates in finite element solution of structure vibration problems with applications to acoustical fluid-structure analysisAlonso, Ana EstherDello Russo, AnahíVampa, Victoria CristinaCiencias ExactasMatemáticapiecewise linear finite elementerror estimatormesh-refinementWe present an a posteriori error estimator for piecewise linear finite element approximations of structure vibration problems. We prove that this estimator is equivalent to the energy norm of the error. Also, we introduce an adaptive mesh-refinement procedure based on the proposed estimator to analize fluid-structure interaction problems. Finally, numerical results for some test examples are presented which show the efficiency of the error estimator and the mesh-refinement techniques.Departamento de Matemática1999-04-28info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf231-239http://sedici.unlp.edu.ar/handle/10915/131074enginfo:eu-repo/semantics/altIdentifier/issn/0178-7675info:eu-repo/semantics/altIdentifier/issn/1432-0924info:eu-repo/semantics/altIdentifier/doi/10.1007/s004660050404info: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:UNLP2025-10-15T11:24:30Zoai:sedici.unlp.edu.ar:10915/131074Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:24:31.021SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv A posteriori error estimates in finite element solution of structure vibration problems with applications to acoustical fluid-structure analysis
title A posteriori error estimates in finite element solution of structure vibration problems with applications to acoustical fluid-structure analysis
spellingShingle A posteriori error estimates in finite element solution of structure vibration problems with applications to acoustical fluid-structure analysis
Alonso, Ana Esther
Ciencias Exactas
Matemática
piecewise linear finite element
error estimator
mesh-refinement
title_short A posteriori error estimates in finite element solution of structure vibration problems with applications to acoustical fluid-structure analysis
title_full A posteriori error estimates in finite element solution of structure vibration problems with applications to acoustical fluid-structure analysis
title_fullStr A posteriori error estimates in finite element solution of structure vibration problems with applications to acoustical fluid-structure analysis
title_full_unstemmed A posteriori error estimates in finite element solution of structure vibration problems with applications to acoustical fluid-structure analysis
title_sort A posteriori error estimates in finite element solution of structure vibration problems with applications to acoustical fluid-structure analysis
dc.creator.none.fl_str_mv Alonso, Ana Esther
Dello Russo, Anahí
Vampa, Victoria Cristina
author Alonso, Ana Esther
author_facet Alonso, Ana Esther
Dello Russo, Anahí
Vampa, Victoria Cristina
author_role author
author2 Dello Russo, Anahí
Vampa, Victoria Cristina
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Matemática
piecewise linear finite element
error estimator
mesh-refinement
topic Ciencias Exactas
Matemática
piecewise linear finite element
error estimator
mesh-refinement
dc.description.none.fl_txt_mv We present an a posteriori error estimator for piecewise linear finite element approximations of structure vibration problems. We prove that this estimator is equivalent to the energy norm of the error. Also, we introduce an adaptive mesh-refinement procedure based on the proposed estimator to analize fluid-structure interaction problems. Finally, numerical results for some test examples are presented which show the efficiency of the error estimator and the mesh-refinement techniques.
Departamento de Matemática
description We present an a posteriori error estimator for piecewise linear finite element approximations of structure vibration problems. We prove that this estimator is equivalent to the energy norm of the error. Also, we introduce an adaptive mesh-refinement procedure based on the proposed estimator to analize fluid-structure interaction problems. Finally, numerical results for some test examples are presented which show the efficiency of the error estimator and the mesh-refinement techniques.
publishDate 1999
dc.date.none.fl_str_mv 1999-04-28
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/10915/131074
url http://sedici.unlp.edu.ar/handle/10915/131074
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0178-7675
info:eu-repo/semantics/altIdentifier/issn/1432-0924
info:eu-repo/semantics/altIdentifier/doi/10.1007/s004660050404
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
231-239
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
_version_ 1846064298644733952
score 13.22299