@Article{NMTMA-4-319,
author = {Weizhang Huang},
title = {Discrete Maximum Principle and a Delaunay-Type Mesh Condition for Linear Finite Element Approximations of Two-Dimensional Anisotropic Diffusion Problems},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2011},
volume = {4},
number = {3},
pages = {319--334},
abstract = {<p style="text-align: justify;">A Delaunay-type mesh condition is developed for a linear finite element approximation
of two-dimensional anisotropic diffusion problems to satisfy a discrete maximum principle.
The condition is weaker than the existing
anisotropic non-obtuse angle condition and reduces to the well known Delaunay condition
for the special case with the identity diffusion matrix. Numerical results are presented to
verify the theoretical findings.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2011.m1024},
url = {http://global-sci.org/intro/article_detail/nmtma/5971.html}
}