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

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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

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DOI

10.4208/aamm.OA-2023-0280

How to Cite

[1]
2025. Nonconforming Finite Element Method for the Obstacle Problem of the $p$-Laplacian. Advances in Applied Mathematics and Mechanics. 18, 2 (Oct. 2025), 434–449. DOI:https://doi.org/10.4208/aamm.OA-2023-0280.