Nonconforming Finite Element Method for the Obstacle Problem of the $p$-Laplacian

H. Y. Liu; D. J. Liu

doi:10.4208/aamm.OA-2023-0280

Author(s)

&

Abstract

We consider the nonconforming discrete Raviart-Thomas mixed finite element method (dRT-MFEM) for obstacle problems with $p$-Laplacian differential operator. The a posteriori and a priori error analysis were presented in a new sense of measurement. A number of experiments confirm the effective decay rates of the proposed dRT-MFEM.

Keywords:

Nonconforming finite elements $p$-Laplacian obstacle problem dRT-MEFM a posteriori error estimate

Author Biographies

H. Y. Liu

Department of Mathematics, Shanghai University, Shanghai 200444, China and Newtouch Center for Mathematics of Shanghai University, Shanghai 200444, China
D. J. Liu

Department of Mathematics, Shanghai University, Shanghai 200444, China and Newtouch Center for Mathematics of Shanghai University, Shanghai 200444, China