Residual-based <i>a posteriori</i> error analysis of a Taylor–Hood discretization of the Reissner–Mindlin plate

For a discretization of the Reissner–Mindlin plate model proposed by the authors in [ SIAM J. Numer. Anal . 59 (2021) 1195–1217], a residual-based a posteriori error estimator is proven to be reliable and efficient. The estimates are robust in the plate thickness parameter. Numerical experiments assess the behaviour of the individual error estimator components and the application to adaptive mesh refinement.