In this paper, we introduce new stable mixed finite elements of any order on polytopal mesh for solving second order elliptic problem. We establish optimal order error estimates for velocity and super convergence for pressure. Numerical experiments are conducted for our mixed elements of different orders on 2D and 3D spaces that confirm the theory.

中文翻译：

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多边形网格的混合有限元方法

在本文中，我们在多面网格上引入了新的任意阶稳定混合有限元来解决二阶椭圆问题。我们建立了速度的最优阶误差估计和压力的超收敛。对我们在 2D 和 3D 空间上的不同阶混合元素进行了数值实验，证实了该理论。