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

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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.

Keywords:

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

10.4208/eajam.020920.251220