@Article{IJNAM-12-197,
author = {Chuanjun Chen and Wei Liu},
title = {A Two-Grid Finite Volume Element Method for a Nonlinear Parabolic Problem},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2015},
volume = {12},
number = {2},
pages = {197--210},
abstract = {<p style="text-align: justify;">A two-grid algorithm is presented and discussed for a finite volume element method
to a nonlinear parabolic equation in a convex polygonal domain. The two-grid algorithm consists
of solving a small nonlinear system on a coarse-grid space with grid size $H$ and then solving a
resulting linear system on a fine-grid space with grid size $h$. Error estimates are derived with the $H^1$-norm $O(h+H^2)$ which shows that the two-grid algorithm achieves asymptotically optimal
approximation as long as the mesh sizes satisfy $h=O(H^2)$. Numerical examples are presented to
validate the usefulness and efficiency of the method.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/484.html}
}