A posteriori error estimates in finite element acoustic analysis

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...

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Detalles Bibliográficos
Autores principales: Alonso, Ana Esther, Dello Russo, Anahí, Vampa, Victoria
Formato: Articulo
Lenguaje:Inglés
Publicado: 2000
Materias:
Matemática
A posteriori error estimate
Adaptive mesh-refinement technique
Eigenvalue problem
Finite element method
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/83425
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-83425
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
A posteriori error estimate
Adaptive mesh-refinement technique
Eigenvalue problem
Finite element method
spellingShingle Matemática
A posteriori error estimate
Adaptive mesh-refinement technique
Eigenvalue problem
Finite element method
Alonso, Ana Esther
Dello Russo, Anahí
Vampa, Victoria
A posteriori error estimates in finite element acoustic analysis
topic_facet Matemática
A posteriori error estimate
Adaptive mesh-refinement technique
Eigenvalue problem
Finite element method
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.
format Articulo
Articulo
author Alonso, Ana Esther
Dello Russo, Anahí
Vampa, Victoria
author_facet Alonso, Ana Esther
Dello Russo, Anahí
Vampa, Victoria
author_sort Alonso, Ana Esther
title A posteriori error estimates in finite element acoustic analysis
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 posteriori error estimates in finite element acoustic analysis
publishDate 2000
url http://sedici.unlp.edu.ar/handle/10915/83425
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AT vampavictoria aposteriorierrorestimatesinfiniteelementacousticanalysis
AT alonsoanaesther posteriorierrorestimatesinfiniteelementacousticanalysis
AT dellorussoanahi posteriorierrorestimatesinfiniteelementacousticanalysis
AT vampavictoria posteriorierrorestimatesinfiniteelementacousticanalysis
bdutipo_str Repositorios
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