@Article{EAJAM-11-540,
author = {Gong , YunjieChen , ChuanjunLou , Yuzhi and Xue , Guanyu},
title = {Crank-Nicolson Method of a Two-Grid Finite Volume Element Algorithm for Nonlinear Parabolic Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2021},
volume = {11},
number = {3},
pages = {540--559},
abstract = {<p style="text-align: justify;">A two-grid finite volume element algorithm based on Crank-Nicolson scheme
for nonlinear parabolic equations is proposed. In this method, the nonlinear problem is
solved on a coarse grid of size $H$ and a linear problem is considered on a fine grid of size $h$ by using the coarse-grid solution and one Newton iteration. This helps to improve the
computing efficiency while keeping the accuracy. It is proved that the two-grid method
can achieve asymptotically optimal error estimates in spaces and second order accuracy
in time. Numerical results are consistent with the theoretical findings.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.090820.311220},
url = {http://global-sci.org/intro/article_detail/eajam/19140.html}
}