A Weak Galerkin Finite Element Method for $p$-Laplacian Problem
East Asian J. Appl. Math., 11 (2021), pp. 219-233.
Published online: 2021-02
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@Article{EAJAM-11-219,
author = {Ye , Xiu and Zhang , Shangyou},
title = {A Weak Galerkin Finite Element Method for $p$-Laplacian Problem},
journal = {East Asian Journal on Applied Mathematics},
year = {2021},
volume = {11},
number = {2},
pages = {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.
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.020920.251220}, url = {http://global-sci.org/intro/article_detail/eajam/18632.html} }
TY - JOUR
T1 - A Weak Galerkin Finite Element Method for $p$-Laplacian Problem
AU - Ye , Xiu
AU - Zhang , Shangyou
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 219
EP - 233
PY - 2021
DA - 2021/02
SN - 11
DO - http://doi.org/10.4208/eajam.020920.251220
UR - https://global-sci.org/intro/article_detail/eajam/18632.html
KW - Weak Galerkin, finite element methods, $p$-Laplacian, polyhedral meshes.
AB -
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.
Ye , Xiu and Zhang , Shangyou. (2021). A Weak Galerkin Finite Element Method for $p$-Laplacian Problem.
East Asian Journal on Applied Mathematics. 11 (2).
219-233.
doi:10.4208/eajam.020920.251220
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