arrow
Volume 11, Issue 2
A Weak Galerkin Finite Element Method for $p$-Laplacian Problem

Xiu Ye & Shangyou Zhang

East Asian J. Appl. Math., 11 (2021), pp. 219-233.

Published online: 2021-02

Export citation
  • 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.

  • AMS Subject Headings

Primary: 65N15, 65N30, 76D07, Secondary: 35B45, 35J50

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@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.

Xiu Ye & Shangyou Zhang. (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
Copy to clipboard
The citation has been copied to your clipboard