@Article{CiCP-26-947,
author = {Church , Jon MatteoGuo , ZhenlinJimack , Peter K.Madzvamuse , AnotidaPromislow , KeithWetton , BrianM. Wise , Steven and Yang , Fengwei},
title = {High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics},
journal = {Communications in Computational Physics},
year = {2019},
volume = {26},
number = {4},
pages = {947--972},
abstract = {<p style="text-align: justify;">There is a large literature of numerical methods for phase field models from
materials science. The prototype models are the Allen-Cahn and Cahn-Hilliard equations. We present four benchmark problems for these equations, with numerical results validated using several computational methods with different spatial and temporal discretizations. Our goal is to provide the scientific community with a reliable
reference point for assessing the accuracy and reliability of future software for this
important class of problem.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2019-0006},
url = {http://global-sci.org/intro/article_detail/cicp/13225.html}
}