A Posteriori Error Estimator for a Mixed Finite Element Method for Reissner-Mindlin Plate : Notas de Matemática, 70

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 in [16] and can also be seen as a particular example of the general family analyzed in [13]. The estimator is based on the evaluation...

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Detalles Bibliográficos
Autor principal: Liberman, Elsa
Formato: Publicacion seriada
Lenguaje:Inglés
Publicado: 1999
Materias:
Matemática
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/172369
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-172369
record_format dspace
spelling I19-R120-10915-1723692024-10-31T20:10:23Z http://sedici.unlp.edu.ar/handle/10915/172369 A Posteriori Error Estimator for a Mixed Finite Element Method for Reissner-Mindlin Plate : Notas de Matemática, 70 Liberman, Elsa 1999 2024-10-31T16:53:48Z en Matemática 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 in [16] and can also be seen as a particular example of the general family analyzed in [13]. The estimator is based on the evaluation of the residual of the finite element solution. We show that the estimator yields locally lower and globally upper bounds of the error in the numerical solution in a natural norm for the problem, which includes the H} 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. Material digitalizado en SEDICI gracias a la colaboración de la Biblioteca del Departamento de Matemática de la Facultad de Ciencias Exactas (UNLP). Facultad de Ciencias Exactas Publicacion seriada Publicacion seriada http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
spellingShingle Matemática
Liberman, Elsa
A Posteriori Error Estimator for a Mixed Finite Element Method for Reissner-Mindlin Plate : Notas de Matemática, 70
topic_facet Matemática
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 in [16] and can also be seen as a particular example of the general family analyzed in [13]. The estimator is based on the evaluation of the residual of the finite element solution. We show that the estimator yields locally lower and globally upper bounds of the error in the numerical solution in a natural norm for the problem, which includes the H} 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 Publicacion seriada
Publicacion seriada
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 : Notas de Matemática, 70
title_short A Posteriori Error Estimator for a Mixed Finite Element Method for Reissner-Mindlin Plate : Notas de Matemática, 70
title_full A Posteriori Error Estimator for a Mixed Finite Element Method for Reissner-Mindlin Plate : Notas de Matemática, 70
title_fullStr A Posteriori Error Estimator for a Mixed Finite Element Method for Reissner-Mindlin Plate : Notas de Matemática, 70
title_full_unstemmed A Posteriori Error Estimator for a Mixed Finite Element Method for Reissner-Mindlin Plate : Notas de Matemática, 70
title_sort posteriori error estimator for a mixed finite element method for reissner-mindlin plate : notas de matemática, 70
publishDate 1999
url http://sedici.unlp.edu.ar/handle/10915/172369
work_keys_str_mv AT libermanelsa aposteriorierrorestimatorforamixedfiniteelementmethodforreissnermindlinplatenotasdematematica70
AT libermanelsa posteriorierrorestimatorforamixedfiniteelementmethodforreissnermindlinplatenotasdematematica70
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