Two simple finite element methods for Reissner--Mindlin plates with clamped boundary condition

preprint2013arXivOpen access

Abstract

We present two simple finite element methods for the discretization of Reissner--Mindlin plate equations with {\em clamped} boundary condition. These finite element methods are based on discrete Lagrange multiplier spaces from mortar finite element techniques. We prove optimal a priori error estimates for both methods.

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