Recovery-based a Posteriori Error Analysis for Plate Bending Problems

摘要

We present two new recovery-based a posteriori error estimates for the Hellan-Herrmann-Johnson method in Kirchhoff-Love plate theory. The first error estimator uses a postprocessed deflection and controls the L-2 moment error and the discrete H-2 deflection error. The second one controls the L-2 x H-1 total error and utilizes superconvergent postprocessed moment field and deflection. The effectiveness of the theoretical results is numerically validated in several experiments.