A three-dimensional Hellinger–Reissner virtual element method for linear elasticity problems

We present a Virtual Element Method for the 3D linear elasticity problems, based on Hellinger–Reissner variational principle. In the small strain theory, we propose a low-order scheme with a-priori symmetric stresses and continuous tractions across element interfaces. A convergence and stability analysis is developed and we confirm the theoretical predictions via some numerical tests.