On mixed finite element methods for the Reissner-Mindlin plate model. (English) Zbl 0763.73054

Durán, Ricardo; Liberman, Elsa

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.

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