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 - <p style="text-align: justify;">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.</p>