On the Spectrum of an Operator Associated with Least-Squares Finite Elements for Linear Elasticity

In this paper we provide some more details on the numerical analysis and wepresent some enlightening numerical results related to the spectrum of afinite element least-squares approximation of the linear elasticityformulation introduced recently. We show that, although the formulation isrobust in the incompressible limit for the source problem, its spectrum isstrongly dependent on the Lamé parameters and on the underlying mesh.