@Article{CiCP-25-448,
author = {Seunggyu Lee and Junseok Kim},
title = {Effective Time Step Analysis of a Nonlinear Convex Splitting Scheme for the Cahn–Hilliard Equation},
journal = {Communications in Computational Physics},
year = {2018},
volume = {25},
number = {2},
pages = {448--460},
abstract = {<p style="text-align: justify;">We analyze the effective time step size of a nonlinear convex splitting scheme
for the Cahn–Hilliard (CH) equation. The convex splitting scheme is unconditionally
stable, which implies we can use arbitrary large time-steps and get stable numerical
solutions. However, if we use a too large time-step, then we have not only discretization
error but also time-step rescaling problem. In this paper, we show the time-step
rescaling problem from the convex splitting scheme by comparing with a fully implicit
scheme for the CH equation. We perform various test problems. The computation results
confirm the time-step rescaling problem and suggest that we need to use small
enough time-step sizes for the accurate computational results.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2017-0260},
url = {http://global-sci.org/intro/article_detail/cicp/12758.html}
}