Title: A uniformly accurate finite element method for the
Reissner-Mindlin plate
Authors: Douglas N. Arnold and Richard S. Falk
Source: SIAM J. Numer. Anal., 26 (1989) pp. 1276-1290
Status: Published
Abstract: We present and analyze a simple finite element method
for the Mindlin-Reissner plate model in the primitive variables. Our
method uses nonconforming linear finite elements for the transverse
displacement and conforming linear finite elements enriched by bubbles
for the rotation, with the computation of the element stiffness matrix
modified by the inclusion of a simple elementwise averaging. We prove
that the method converges with optimal order uniformly with respect to
thickness.
Keywords: Reissner-Mindlin plate, finite element, nonconforming
Subj. class.: 65N30,73K10,73K25
URL: http://www.math.rutgers.edu/~falk/papers/mindlin.pdf