Mixed finite element methods are designed to overcome shear locking phenome
na observed in the numerical treatment of Reissner-Mindlin plate models. Au
tomatic adaptive mesh-refining algorithms are an important tool to improve
the approximation behavior of the finite element discretization. In this pa
per, a reliable and robust residual-based a posteriori error estimate is de
rived, which evaluates a t-depending residual norm based on results in [D.
Arnold, R. Falk, R, Winther, Math. Modell Numer. Anal. 31 (1997) 517-557].
The localized error indicators suggest an adaptive algorithm for automatic
mesh refinement. Numerical examples prove that the new scheme is efficient.
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