On the convergence of a triangular mixed finite element method for Reissner-Mindlin plates

We analyze the convergence of a mixed finite element method introduced by Zienkiewicz, Taylor, Papadopoulos and Oñate for the Reissner-Mindlin plate model. In order to do this, we compare it with a method which is known to be convergent with optimal order uniformly in the plate thickness. We show th...

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Autores principales: Durán, R.G., Liberman, E.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02182025_v6_n3_p339_Duran
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_02182025_v6_n3_p339_Duran2023-10-03T15:10:49Z On the convergence of a triangular mixed finite element method for Reissner-Mindlin plates Durán, R.G. Liberman, E. We analyze the convergence of a mixed finite element method introduced by Zienkiewicz, Taylor, Papadopoulos and Oñate for the Reissner-Mindlin plate model. In order to do this, we compare it with a method which is known to be convergent with optimal order uniformly in the plate thickness. We show that the difference between the solutions of both methods is of higher order than the error. In particular the method does not present locking and is optimal order convergent. We also present several numerical experiments which confirm the similar behavior of both methods. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02182025_v6_n3_p339_Duran
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We analyze the convergence of a mixed finite element method introduced by Zienkiewicz, Taylor, Papadopoulos and Oñate for the Reissner-Mindlin plate model. In order to do this, we compare it with a method which is known to be convergent with optimal order uniformly in the plate thickness. We show that the difference between the solutions of both methods is of higher order than the error. In particular the method does not present locking and is optimal order convergent. We also present several numerical experiments which confirm the similar behavior of both methods.
format JOUR
author Durán, R.G.
Liberman, E.
spellingShingle Durán, R.G.
Liberman, E.
On the convergence of a triangular mixed finite element method for Reissner-Mindlin plates
author_facet Durán, R.G.
Liberman, E.
author_sort Durán, R.G.
title On the convergence of a triangular mixed finite element method for Reissner-Mindlin plates
title_short On the convergence of a triangular mixed finite element method for Reissner-Mindlin plates
title_full On the convergence of a triangular mixed finite element method for Reissner-Mindlin plates
title_fullStr On the convergence of a triangular mixed finite element method for Reissner-Mindlin plates
title_full_unstemmed On the convergence of a triangular mixed finite element method for Reissner-Mindlin plates
title_sort on the convergence of a triangular mixed finite element method for reissner-mindlin plates
url http://hdl.handle.net/20.500.12110/paper_02182025_v6_n3_p339_Duran
work_keys_str_mv AT duranrg ontheconvergenceofatriangularmixedfiniteelementmethodforreissnermindlinplates
AT libermane ontheconvergenceofatriangularmixedfiniteelementmethodforreissnermindlinplates
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