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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Uniform interior error estimates for the Reissner-Mindlin plate model


Author: Lucia Gastaldi
Journal: Math. Comp. 61 (1993), 539-567
MSC: Primary 65P05; Secondary 65N30, 73K10, 73V05
MathSciNet review: 1185245
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Abstract: Interior error estimates are derived for the solution of the Reissner-Mindlin plate model discretized by mixed-interpolated elements. Precisely, it is shown that the error in an interior domain can be estimated by the sum of two terms: the first has the best order of accuracy that is possible locally for the finite element spaces used, the second is a weak norm of the error on a slightly larger domain (this term measures the effects from outside of this domain). The analysis is based on some abstract properties enjoyed by the finite element spaces considered.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1993-1185245-2
PII: S 0025-5718(1993)1185245-2
Article copyright: © Copyright 1993 American Mathematical Society