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

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 anali...

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Detalles Bibliográficos
Autores principales: Alonso, Ana Esther, Dello Russo, Anahí, Vampa, Victoria Cristina
Formato: Articulo
Lenguaje:Inglés
Publicado: 1999
Materias:
Ciencias Exactas
Matemática
piecewise linear finite element
error estimator
mesh-refinement
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/131074
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-131074
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Matemática
piecewise linear finite element
error estimator
mesh-refinement
spellingShingle Ciencias Exactas
Matemática
piecewise linear finite element
error estimator
mesh-refinement
Alonso, Ana Esther
Dello Russo, Anahí
Vampa, Victoria Cristina
A posteriori error estimates in finite element solution of structure vibration problems with applications to acoustical fluid-structure analysis
topic_facet Ciencias Exactas
Matemática
piecewise linear finite element
error estimator
mesh-refinement
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.
format Articulo
Articulo
author Alonso, Ana Esther
Dello Russo, Anahí
Vampa, Victoria Cristina
author_facet Alonso, Ana Esther
Dello Russo, Anahí
Vampa, Victoria Cristina
author_sort Alonso, Ana Esther
title A posteriori error estimates in finite element solution of structure vibration problems with applications to acoustical fluid-structure analysis
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 posteriori error estimates in finite element solution of structure vibration problems with applications to acoustical fluid-structure analysis
publishDate 1999
url http://sedici.unlp.edu.ar/handle/10915/131074
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