A Mixed Finite-Element Method on Polytopal Mesh
Yanping Lin , Xiu Ye , Shangyou Zhang
Communications on Applied Mathematics and Computation ›› 2022, Vol. 4 ›› Issue (4) : 1374 -1385.
A Mixed Finite-Element Method on Polytopal Mesh
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.
National Science Foundation(DMS-1620016)
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