Recovery-based a posteriori error analysis for plate bending problems

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.

arXiv comment27 pages, 18 figures

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• Global superconvergence of the lowest order mixed finite element on mildly structured meshes
• Superconvergent recovery of Raviart--Thomas mixed finite elements on triangular grids
• Residual estimates for post-processors in elliptic problems
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Cited by in corpus (1)

• Smoother-type a posteriori error estimates for finite element methods