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In this paper we analyze a posteriori error estimates for a mixed formulationof the linear elasticity eigenvalue problem. A posteriori estimators for thenearly and perfectly compressible elasticity spectral problems are proposed.With a post-process argument, we are able to prove reliability and efficiencyfor the proposed estimators. The numerical method is based in Raviart-Thomaselements to approximate the pseudostress and piecewise polynomials for thedisplacement. We illustrate our results with numerical tests.

A posteriori analysis for a mixed FEM discretization of the linear elasticity spectral problem