Two-grid virtual element discretization of semilinear elliptic problem

被引：3
|
作者：
Chen, Fengxin [1 ]
Wang, Qiming [2 ]
Zhou, Zhaojie [3 ]
机构：
[1] Shandong Jiaotong Univ, Sch Sci, Jinan, Peoples R China
[2] Beijing Normal Univ, Sch Math Sci, Beijing, Peoples R China
[3] Shandong Normal Univ, Sch Math & Stat, Jinan, Peoples R China
来源：
APPLIED NUMERICAL MATHEMATICS | 2023年 / 186卷
关键词：
Virtual element method; Two grid algorithm; A priori error estimate; STOKES PROBLEM;
D O I：
10.1016/j.apnum.2023.01.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper a two grid algorithm for semilinear elliptic problem based on virtual element method (VEM) discretization is proposed. With this new algorithm the solution of a semilinear elliptic problem on a fine grid is reduced to the solution of a semilinear elliptic problem on a much coarser grid, and the solution of a linear system on the fine grid. A priori error estimates in H1 and L2 norms are derived. Numerical experiments are carried out to illustrate the theoretical findings.(c) 2023 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：228 / 240
页数：13
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