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On mixed finite element methods for the Reissner-Mindlin plate model

Authors: Ricardo Durán and Elsa Liberman
Journal: Math. Comp. 58 (1992), 561-573
MSC: Primary 65N30; Secondary 65N12, 65N15, 73K10, 73V05
MathSciNet review: 1106965
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Abstract: In this paper we analyze the convergence of mixed finite element approximations to the solution of the Reissner-Mindlin plate problem. We show that several known elements fall into our analysis, thus providing a unified approach. We also introduce a low-order triangular element which is optimal-order convergent uniformly in the plate thickness.

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Keywords: Reissner, Mindlin, mixed finite elements
Article copyright: © Copyright 1992 American Mathematical Society