A Weak Galerkin Finite Element Method for $p$-Laplacian Problem

Authors

  • Xiu Ye
  • Shangyou Zhang

DOI:

https://doi.org/10.4208/eajam.020920.251220

Keywords:

Weak Galerkin, finite element methods, $p$-Laplacian, polyhedral meshes.

Abstract

In this paper, we introduce a weak Galerkin (WG) finite element method for $p$-Laplacian problem on general polytopal mesh. The quasi-optimal error estimates of the weak Galerkin finite element approximation are obtained. The numerical examples confirm the theory.

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Published

2021-02-23

Issue

Vol. 11 No. 2 (2021)

Section

Articles