Superconvergence and Postprocessing of Beam and Plate Finite Element Methods

Wednesday, October 22, 2014 - 11:45am - 12:15pm
Keller 3-180
Rolf Stenberg (Aalto University)
We consider mixed finite element methods for the Timoshenko beam and the Reissner-Mindlin plate models. For the beam, the method is the reduced integrated element (first analyzed by D.N. Arnold in 1981), and the plate elements are the MITC family. For all methods, equal order interpolation is used for the deflection and the rotation. We show that there is a hidden superconvergence of the deflection. This enables a local post processing which raises the order of the deflection by one. For the MITC plates this post processing is used in deriving a posteriori error estimates.

This is joint work with Mikko Lyly, Jarkko Niiranen, Lourenço Beirão da Veiga and Mika Juntunen.