A two-grid discontinuous Galerkin method for a kind of nonlinear parabolic problems

被引：9
|
作者：
Yang, Jiming [1 ]
Xing, Xiaoqing [2 ]
机构：
[1] Hunan Inst Engn, Coll Sci, Xiangtan 411104, Hunan, Peoples R China
[2] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 346卷
基金：
中国国家自然科学基金;
关键词：
Two-grid; Nonlinear problems; Discontinuous Galerkin method; Convergence estimate; MIXED FINITE-ELEMENT; COMPRESSIBLE MISCIBLE DISPLACEMENT; INTERIOR PENALTY; ERROR ANALYSIS; DIFFUSION; APPROXIMATIONS; FLOW;
D O I：
10.1016/j.amc.2018.09.067
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A discontinuous Galerkin approximation for the space variables with the backward Euler time discretisation for a kind of parabolic problems with the nonlinear diffusion, convection and source terms is investigated. To solve the strongly nonlinear algebra system, a two-grid method is proposed. With this algorithm, solving a nonlinear system on the fine discontinuous finite element space is reduced into solving a nonlinear problem on a coarse gird of size and solving a linear problem on a fine grid of size. Convergence estimates in H-1-norm are obtained. The numerical experiments are provided to confirm our theoretical analysis. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：96 / 108
页数：13
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