Finite element spectral analysis for the mixed formulation of the elasticity equations


Salim Meddahi


Universidad de Oviedo, Spain


Tue, 25/02/2014 - 11:00am to 12:00pm


RC-4082, The Red Centre, UNSW


We present an analysis of an elasticity eigenvalue problem formulated in terms of the stress tensor and the rotation. This is achieved by considering a mixed variational formulation in which the symmetry of the stress tensor is imposed weakly. We show that a discretization of the mixed eigenvalue elasticity problem with reduced symmetry based on the lowest order Arnold-Falk-Winther element provides a correct approximation of the spectrum and prove quasi-optimal error estimates. Finally, we report some numerical experiments.

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