We develop a family of locking-free elements for the Reissner-Mindlin plate using Discontinuous Galerkin techniques, one for each odd degree, and prove optimal error estimates. A second family uses conforming elements for the rotations and nonconforming elements for the transverse displacement, generalizing the element of Arnold and Falk to higher degree.
Institute for Mathematics and Its Applications>IMA Preprints Series
Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella.
A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate.
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