In this paper, we extend the hybridization procedure proposed in [D. N. Arnold and F. Brezzi, Mixed and nonconforming finite element methods: Implementation, postprocessing and error estimates, ESAIM Math. Model. Numer. Anal. 19 (1985) 7–32] to the Virtual Element Method for linear elasticity problems based on the Hellinger–Reissner principle. To illustrate such a technique, we focus on a specific 2D scheme, but other methods and 3D problems can be considered as well. We also show how to design a better approximation of the displacement field using a straightforward post-processing procedure. The numerical experiments confirm the theory for both two and three-dimensional problems.

中文翻译：

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线性弹性问题的虚拟元法的混合

在本文中，我们扩展了 [DN Arnold 和 F. Brezzi，混合和不合格有限元方法：实施、后处理和误差估计，ESAIM 数学。模型。编号。肛门。 19(1985) 7-32] 到基于 Hellinger-Reissner 原理的线性弹性问题的虚拟元素方法。为了说明这种技术，我们专注于特定的 2D 方案，但也可以考虑其他方法和 3D 问题。我们还展示了如何使用简单的后处理程序设计更好的位移场近似值。数值实验证实了二维和三维问题的理论。