AN ITERATIVE TWO-GRID METHOD FOR STRONGLY NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS  

作　　者：Jiajun Zhan Lei Yang Xiaoqing Xing Liuqiang Zhong 

机构地区：[1]School of Computer Science and Engineering,Faculty of Innovation Engineering,Macao University of Science and Technology,Macao SAR 999078,China [2]School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China

出　　处：《Journal of Computational Mathematics》2025年第3期673-689,共17页计算数学(英文)

基　　金：funded by the Science and Technology Development Fund,Macao SAR(Grant Nos.0070/2019/A2,0031/2022/A1);supported by the National Natural Science Foundation of China(Grant No.11901212);supported by the National Natural Science Foundation of China(Grant No.12071160).

摘　　要：We design and analyze an iterative two-grid algorithm for the finite element discretizations of strongly nonlinear elliptic boundary value problems in this paper.We propose an iterative two-grid algorithm,in which a nonlinear problem is first solved on the coarse space,and then a symmetric positive definite problem is solved on the fine space.The main contribution in this paper is to establish a first convergence analysis,which requires dealing with four coupled error estimates,for the iterative two-grid methods.We also present some numerical experiments to confirm the efficiency of the proposed algorithm.

关 键 词：Iterative two-grid method CONVERGENCE Strongly nonlinear elliptic problems 

分 类 号：O241.6[理学—计算数学]