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\times H^1 total error and utilizes the postprocessed moment field and deflection and superconvergence analysis in both variables . The effectiveness of the theoretical results is numerically validated in several experiments.
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\times H^1 total error and utilizes superconvergent postprocessed moment field and deflection . The effectiveness of the theoretical results is numerically validated in several experiments.
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and superconvergence analysis in both variables