@Article{JMS-51-253,
author = {Zhu , HongyiCherfils , LaurenceMiranville , AlainPeng , Shuiran and Zhang , Wen},
title = {Energy Stable Finite Element/Spectral Method for Modified Higher-Order Generalized Cahn-Hilliard Equations},
journal = {Journal of Mathematical Study},
year = {2018},
volume = {51},
number = {3},
pages = {253--293},
abstract = {<p style="text-align: justify;">Our aim in this paper is to study a fully discrete scheme for modified higher-order
(in space) anisotropic generalized Cahn-Hilliard models which have extensive
applications in biology, image processing, etc. In particular, the scheme is a combination
of finite element or spectral method in space and a second-order stable scheme in
time. We obtain energy stability results, as well as the existence and uniqueness of the
numerical solution, both for the space semi-discrete and fully discrete cases. We also
give several numerical simulations which illustrate the theoretical results and, especially,
the effects of the higher-order terms on the anisotropy.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v51n3.18.02},
url = {http://global-sci.org/intro/article_detail/jms/12657.html}
}