A posteriori error analysis for conforming MITC elements for Reissner-Mindlin plates

Carstensen, C.; Hu, Jun

doi:10.1090/S0025-5718-07-02028-5

A posteriori error analysis for conforming MITC elements for Reissner-Mindlin plates
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by C. Carstensen and Jun Hu;

Math. Comp. 77 (2008), 611-632

DOI: https://doi.org/10.1090/S0025-5718-07-02028-5

Published electronically: October 18, 2007

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Abstract:

This paper establishes a unified a posteriori error estimator for a large class of conforming finite element methods for the Reissner-Mindlin plate problem. The analysis is based on some assumption (H) on the consistency of the reduction integration to avoid shear locking. The reliable and efficient a posteriori error estimator is robust in the sense that the reliability and efficiency constants are independent of the plate thickness $t$. The presented analysis applies to all conforming MITC elements and all conforming finite element methods without reduced integration from the literature.

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