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

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

Year:    2021

Author:    Xiu Ye, Shangyou Zhang

East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 2 : pp. 219–233

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 2 : pp. 219–233

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

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

Author Details

Xiu Ye

Shangyou Zhang