Durán, Ricardo; Liberman, Elsa On mixed finite element methods for the Reissner-Mindlin plate model. (English) Zbl 0763.73054 Math. Comput. 58, No. 198, 561-573 (1992). Summary: 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. Cited in 2 ReviewsCited in 57 Documents MSC: 74S05 Finite element methods applied to problems in solid mechanics 74K20 Plates 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs Keywords:convergence; low-order triangular element PDF BibTeX XML Cite \textit{R. Durán} and \textit{E. Liberman}, Math. Comput. 58, No. 198, 561--573 (1992; Zbl 0763.73054) Full Text: DOI OpenURL