@Article{EAJAM-10-800,
author = {Tan , ZhijunLi , Kang and Chen , Yanping},
title = {Two-Grid Finite Element Methods of Crank-Nicolson Galerkin Approximation for a Nonlinear Parabolic Equation},
journal = {East Asian Journal on Applied Mathematics},
year = {2020},
volume = {10},
number = {4},
pages = {800--817},
abstract = {<p style="text-align: justify;">Two-grid finite element methods with the Crank-Nicolson Galerkin scheme
for nonlinear parabolic equations are studied. It is shown that the methods have convergence order $\mathcal{O}$($h$ + $H$<sup>2</sup> + (∆$t$)<sup>2</sup>) in $H$<sup>1</sup>-norm, so that a larger time step can be used
in numerical calculations. In addition to saving computing time, the algorithms provide
a good approximation of the problem solution and numerical examples confirm their
efficiency.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.030120.120520},
url = {http://global-sci.org/intro/article_detail/eajam/17962.html}
}