Year: 2023
Author: Jiajun Zhan, Liuqiang Zhong, Jie Peng
Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 2 : pp. 450–467
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2021-0257
Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 2 : pp. 450–467
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Semilinear elliptic problem discontinuous Galerkin method error estimates.
Author Details
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