Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053933 | Applied Mathematics Letters | 2018 | 7 Pages |
Abstract
The purpose of this paper is to study the weak Galerkin finite element method for a class of quasilinear elliptic problems. The weak Galerkin finite element scheme is proved to have a unique solution with the assumption that guarantees the corresponding operator to be strongly monotone and Lipschitz-continuous. An optimal error estimate in a mesh-dependent energy norm is established. Some numerical results are presented to confirm the theoretical analysis.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Shi Sun, Ziping Huang, Cheng Wang,