We present a family of Virtual Element Methods for three-dimensional linear elasticity problems based on the Hellinger-Reissner variational principle. A convergence and stability analysis is developed. Moreover, using the hybridization technique and exploiting the information derived from this procedure, we show how to compute a better approximation for the displacement field. The numerical experiments confirm the theoretical predictions.

翻译：我们基于 Hellinger-Reissner 变分原理，针对三维线弹性问题提出了一族虚拟元方法。文中发展了相应的收敛性与稳定性分析。此外，利用杂交技术并挖掘该过程所获取的信息，我们展示了如何计算位移场的更优近似。数值实验证实了理论预测。