@Article{AAMM-6-849,
author = {Chen , XingdingYuan , Guangwei and Yu , Yunlong},
title = {Discrete Maximum Principle Based on Repair Technique for Finite Element Scheme of Anisotropic Diffusion Problems},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2014},
volume = {6},
number = {6},
pages = {849--866},
abstract = {<p style="text-align: justify;">In this paper, we construct a global repair technique for the finite element scheme of
anisotropic diffusion equations to enforce the repaired solutions satisfying
the discrete maximum principle. It is an extension of the existing local
repair technique. Both of the repair techniques
preserve the total energy and are easy to be implemented. The numerical
experiments show that these repair techniques do not destroy the accuracy
of the finite element scheme, and the computational cost of the
global repair technique is lower than the local repair technique when the
diffusion tensors are highly anisotropic.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2013.m445},
url = {http://global-sci.org/intro/article_detail/aamm/52.html}
}