@Article{EAJAM-8-549,
author = {Chuanjun Chen and Kang Li},
title = {A Two-Grid Finite Element Method for Nonlinear Sobolev Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {8},
number = {3},
pages = {549--565},
abstract = {<p style="text-align: justify;">A two-grid based finite element method for nonlinear Sobolev equations is
studied. It consists in solving small nonlinear systems related to coarse-grids, following
the solution of linear systems in fine-grid spaces. The method has the same accuracy as
the standard finite element method but reduces workload and saves CPU time. The $H^1$-error estimates show that the two-grid methods have optimal convergence if the coarse $H$ and fine $h$ mesh sizes satisfy the condition $h=\mathscr{O}(H^2)$. Numerical examples confirm
the theoretical findings.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.150117.260618},
url = {http://global-sci.org/intro/article_detail/eajam/12625.html}
}