Quasi-Optimal Pointwise Error Estimates for the Reissner–Mindlin Plate
Lucia Gastaldi, Ricardo H. Nochetto · SIAM Journal on Numerical Analysis · 1991
Quasi-optimal pointwise error estimates, valid uniformly with respect to thickness, are derived for the finite element approximation to the Reissner–Mindlin plate recently proposed by Arnold and Falk. The method approximates the rotation of fibers with conforming linear elements, enriched with bubbles, and the transverse displacement with nonconforming linear elements. The present analysis is based on proving quite precise estimates, in terms of thickness and meshsize, for a regularized Green’s function of a singularly perturbed Stokes-like system.