Uniform interior error estimates for the Reissner-Mindlin plate model

Gastaldi, Lucia

doi:10.1090/S0025-5718-1993-1185245-2

Uniform interior error estimates for the Reissner-Mindlin plate model
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Math. Comp. 61 (1993), 539-567 Request permission

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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