PSRI elements for the Reissner-Mindlin free plate
Computers and Structures
Robust BDDC Preconditioners for Reissner-Mindlin Plate Bending Problems and MITC Elements
SIAM Journal on Numerical Analysis
Numerical results for mimetic discretization of Reissner---Mindlin plate problems
Calcolo: a quarterly on numerical analysis and theory of computation
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The solution of the Reissner--Mindlin plate problem with free boundary conditions presents a strong layer effect near the free edges. As a consequence, the solution is not even uniformly bounded even in H3/2, which implies that at most an O(h1/2) uniform convergence rate can be reached by finite element methods in the H1 norm. Following instead the modified free boundary model presented by Beirao da Veiga and Brezzi, which gives more regular solutions, better error estimates can be obtained in principle. In this paper we present and analyze the extension of different families of well-known optimal plate methods to this new model. All the modified methods presented are proved to be optimal and free of locking.