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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/131074
Ver los metadatos del registro completo
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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 |
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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 |
13.22299 |