Mathematics of Computation

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

Author(s): C. Carstensen; Jun Hu.
Journal: Math. Comp. 77 (2008), 611-632.
MSC (2000): Primary 65N30, 65N15, 35J25
Posted: 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

. 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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Retrieve articles in Mathematics of Computation with MSC (2000): 65N30, 65N15, 35J25

C. Carstensen
Affiliation: Institut für Mathematik, Humboldt Universität zu Berlin, Unter den Linden 6, D-10099 Berlin, Germany
Email: cc@math.hu-berlin.de

Jun Hu
Affiliation: LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, People's Republic of China
Email: hujun@math.pku.edu.cn

DOI: 10.1090/S0025-5718-07-02028-5
PII: S 0025-5718(07)02028-5
Keywords: A posteriori, error analysis, Reissner-Mindlin Plate, MITC element
Received by editor(s): March 3, 2006
Received by editor(s) in revised form: November 11, 2006
Posted: October 18, 2007
Additional Notes: The first author was supported by DFG Research Center MATHEON ``Mathematics for key technologies'' in Berlin
The second author was partially supported by Natural Science Foundation of China under Grant 10601003 A Foundation for the Author of Excellent Doctoral Dissertation of PR China 200718
Copyright of article: Copyright 2007, American Mathematical Society

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