@Article{JCM-43-673,
author = {Zhan , JiajunYang , LeiXing , Xiaoqing and Zhong , Liuqiang},
title = {An Iterative Two-Grid Method for Strongly Nonlinear Elliptic Boundary Value Problems},
journal = {Journal of Computational Mathematics},
year = {2024},
volume = {43},
number = {3},
pages = {673--689},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2305-m2023-0088},
url = {http://global-sci.org/intro/article_detail/jcm/23554.html}
}