Remarks on some mixed finite element schemes for Reissner-Mindlin plate model (Q2568701)

The author considers 2 new formulations of finite element discretization of the Reissner-Mindlin plate model by (low-order) mixed finite elements (enriched with bubbles). Both formulations can be considered as variations of the Arnold-Brezzi scheme of partial selected reduced integration where the shear energy part is supplemented by a stabilization term without sacrificing consistency. The author shows stability and uniform convergence (with respect to plate thickness) of his formulations and conducts a series of numerical experiments on the dependence of relative errors (of deflection and rotation) on the free parameter multiplying the stabilization term.