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In this paper, a discontinuous Galerkin finite element method of Nitsche'sversion for the Steklov eigenvalue problem in linear elasticity is presented.The a priori error estimates are analyzed under a low regularity condition, andthe robustness with respect to nearly incompressible materials (locking-free)is proven. Furthermore, some numerical experiments are reported to show theeffectiveness and robustness of the proposed method.

A locking-free discontinuous Galerkin method for linear elastic Steklov eigenvalue problem