A mixed finite element method on polytopal mesh

Abstract

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.

arXiv admin note: substantial text overlap with arXiv:2008.13631