@Article{JMS-48-187,
author = {Zegeling , Paul Andries},
title = {An Adaptive Grid Method for a Non-Equilibrium PDE Model from Porous Media},
journal = {Journal of Mathematical Study},
year = {2015},
volume = {48},
number = {2},
pages = {187--198},
abstract = {<p style="text-align: justify;">An adaptive grid method is applied to a PDE model from geo-hydrology.
Due to the higher mixed-order derivative, non-monotone waves can appear which
could represent similar structures as observed in laboratory experiments [5, 16, 18].
The effectiveness of the adaptive grid, which is based on a smoothed equidistribution
principle, is shown compared to uniform grid simulations. On a uniform grid (numerical)
oscillating non-monotone waves may appear which are not present in the adaptive
grid.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v48n2.15.05},
url = {http://global-sci.org/intro/article_detail/jms/9919.html}
}