@Article{AAM-37-1,
author = {Li, Dong and Tao, Tang},
title = {Stability of the Semi-Implicit Method for the Cahn-Hilliard Equation with Logarithmic Potentials},
journal = {Annals of Applied Mathematics},
year = {2021},
volume = {37},
number = {1},
pages = {31--60},
abstract = {<p style="text-align: justify;">We consider the two-dimensional Cahn-Hilliard equation with logarithmic potentials and periodic boundary conditions. We employ the standard semi-implicit numerical&nbsp; scheme, which treats the linear fourth-order dissipation term implicitly and the nonlinear term explicitly. Under natural constraints on the time step we prove strict phase separation and energy stability of the semi-implicit scheme. This appears to be the first rigorous result for the semi-implicit discretization of the Cahn-Hilliard equation with singular potentials.</p>},
issn = {},
doi = {https://doi.org/10.4208/aam.OA-2020-0003},
url = {https://global-sci.com/article/72642/stability-of-the-semi-implicit-method-for-the-cahn-hilliard-equation-with-logarithmic-potentials}
}