@Article{AAMM-15-2,
author = {Zhan, Jiajun and Zhong, Liuqiang and Peng, Jie},
title = {Discontinuous Galerkin Methods for Semilinear Elliptic Boundary Value Problem},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2023},
volume = {15},
number = {2},
pages = {450--467},
abstract = {<p style="text-align: justify;">A discontinuous Galerkin (DG) scheme for solving semilinear elliptic problem is developed and analyzed in this paper. The DG finite element discretization is first established, then the corresponding well-posedness is provided by using
Brouwer’s fixed point method. Some optimal priori error estimates under both DG
norm and $L^2$ norm are presented, respectively. Numerical results are given to illustrate the efficiency of the proposed approach.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2021-0257},
url = {https://global-sci.com/article/72839/discontinuous-galerkin-methods-for-semilinear-elliptic-boundary-value-problem}
}