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arXiv · 2104.01719

Recovery-based a posteriori error analysis for plate bending problems

Yuwen Li
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Abstract

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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Yuwen Li. 2021-07-20. Recovery-based a posteriori error analysis for plate bending problems. https://doi.org/10.1007/s10915-021-01595-9

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