Locking effects in the finite element approximation of plate models
Mathematics of Computation
An hp Error Analysis of MITC Plate Elements
SIAM Journal on Numerical Analysis
The hp-MITC finite element method for the Reissner-Mindlin plate problem
Journal of Computational and Applied Mathematics
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In this article we focus on the approximation of the Reissner---Mindlin (R---M) plate model by high-order p and hp versions of the Finite Element Method (FEM), in the case when the mesh includes curved elements; this is of particular interest when plates with smooth boundary are considered. Our main goal is to verify that an appropriately defined Mixed Interpolated Tensorial Components (MITC) FEM performs well, in the presence of curved elements, when the energy norm is used as an error measure, as well as when quantities of engineering interest are computed. Comments on the performance of the standard FEM formulation are also made