@Article{CiCP-15-506,
author = {John W. Barrett, Harald Garcke and Robert Nürnberg},
title = {Phase Field Models Versus Parametric Front Tracking Methods: Are They Accurate and Computationally Efficient?},
journal = {Communications in Computational Physics},
year = {2014},
volume = {15},
number = {2},
pages = {506--555},
abstract = {<p style="text-align: justify;">We critically compare the practicality and accuracy of numerical approximations of phase field models and sharp interface models of solidification. Here we focus
on Stefan problems, and their quasi-static variants, with applications to crystal growth.
New approaches with a high mesh quality for the parametric approximations of the resulting free boundary problems and new stable discretizations of the anisotropic phase
field system are taken into account in a comparison involving benchmark problems
based on exact solutions of the free boundary problem.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.190313.010813a},
url = {http://global-sci.org/intro/article_detail/cicp/7104.html}
}