An Adaptive Finite Element Scheme for the Hellinger–Reissner Elasticity Mixed Eigenvalue Problem

Abstract In this paper, we study the approximation of eigenvalues arising from mixed Hellinger–Reissner elasticity problem by using a simple finite element introduced recently one authors. We prove that method converges when residual type error estimator is considered and decays optimally with respect to number degrees freedom. A postprocessing technique originally proposed in different context discussed tested numerically.