@Article{CiCP-26-5,
author = {Na, Li and Ping, Lin and Gao, Fuzheng},
title = {Energy Law Preserving Finite Element Scheme for the Cahn-Hilliard Equation with Dynamic Boundary Conditions},
journal = {Communications in Computational Physics},
year = {2019},
volume = {26},
number = {5},
pages = {1490--1509},
abstract = {<p style="text-align: justify;">In this paper, we develop the energy law preserving method for a phase-field model of Cahn-Hilliard type describing binary mixtures. A new class of dynamic
boundary conditions in a rather general setting proposed in [1] is adopted here. The
model equations are discretized by a continuous finite element method in space and
a midpoint scheme in time. The discrete energy law of the numerical method for the
model with the dynamic boundary conditions is derived. By a few two-phase examples, we demonstrate the performance of the energy law preserving method for the
computation of the phase-field model with the new class of dynamic boundary conditions, even in the case of relatively coarse mesh.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.2019.js60.14},
url = {https://global-sci.com/article/79867/energy-law-preserving-finite-element-scheme-for-the-cahn-hilliard-equation-with-dynamic-boundary-conditions}
}