Year: 2025
Author: Jiajun Zhan, Lei Yang, Xiaoqing Xing, Liuqiang Zhong
Journal of Computational Mathematics, Vol. 43 (2025), Iss. 3 : pp. 673–689
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2305-m2023-0088
Journal of Computational Mathematics, Vol. 43 (2025), Iss. 3 : pp. 673–689
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Iterative two-grid method Convergence Strongly nonlinear elliptic problems.