An adaptive finite element scheme for the Hellinger–Reissner elasticity mixed eigenvalue problem

03/18/2020
by   Fleurianne Bertrand, et al.
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In this paper we study the approximation of eigenvalues arising from the mixed Hellinger–Reissner elasticity problem by using the simple finite element using partial relaxation of C^0 vertex continuity of stresses introduced recently by Jun Hu and Rui Ma. We prove that the method converge when a residual type error estimator is considered and that the estimator decays optimally with respect to the number of degrees of freedom.

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