A posteriori error estimator for a mixed finite element method for Reissner-Mindlin plate

We present an a posteriori error estimator for a mixed finite element method for the Reissner-Mindlin plate model. The finite element method we deal with, was analyzed by Durán and Liberman in 1992 and can also be seen as a particular example of the general family analyzed by Brezzi, Fortin, and Ste...

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Detalles Bibliográficos
Autor principal: Liberman, Elsa
Formato: Articulo
Lenguaje:Inglés
Publicado: 2001
Materias:
Matemática
error estimator
inite element method
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/83492
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-83492
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
error estimator
inite element method
spellingShingle Matemática
error estimator
inite element method
Liberman, Elsa
A posteriori error estimator for a mixed finite element method for Reissner-Mindlin plate
topic_facet Matemática
error estimator
inite element method
description We present an a posteriori error estimator for a mixed finite element method for the Reissner-Mindlin plate model. The finite element method we deal with, was analyzed by Durán and Liberman in 1992 and can also be seen as a particular example of the general family analyzed by Brezzi, Fortin, and Stenberg in 1991. The estimator is based on the evaluation of the residual of the finite element solution. We show that the estimator yields local lower and global upper bounds of the error in the numerical solution in a natural norm for the problem, which includes the H1 norms of the terms corresponding to the deflection and the rotation and a dual norm for the shearing force. The estimates are valid uniformly with respect to the plate thickness.
format Articulo
Articulo
author Liberman, Elsa
author_facet Liberman, Elsa
author_sort Liberman, Elsa
title A posteriori error estimator for a mixed finite element method for Reissner-Mindlin plate
title_short A posteriori error estimator for a mixed finite element method for Reissner-Mindlin plate
title_full A posteriori error estimator for a mixed finite element method for Reissner-Mindlin plate
title_fullStr A posteriori error estimator for a mixed finite element method for Reissner-Mindlin plate
title_full_unstemmed A posteriori error estimator for a mixed finite element method for Reissner-Mindlin plate
title_sort posteriori error estimator for a mixed finite element method for reissner-mindlin plate
publishDate 2001
url http://sedici.unlp.edu.ar/handle/10915/83492
work_keys_str_mv AT libermanelsa aposteriorierrorestimatorforamixedfiniteelementmethodforreissnermindlinplate
AT libermanelsa posteriorierrorestimatorforamixedfiniteelementmethodforreissnermindlinplate
bdutipo_str Repositorios
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