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.
翻译:在本文中,我们引入了新的稳定的混合有限元素,这些元素是用于解决第二顺序椭圆形问题的多端网格上的任何定序中新的稳定的混合有限元素。我们为压力的速度和超集度确定了最佳顺序误差估计值。对证实理论的2D和3D空间的不同定序的混合元素进行了数字实验。