TY - JOUR
T1 - Energy Law Preserving Finite Element Scheme for the Cahn-Hilliard Equation with Dynamic Boundary Conditions
AU - Li , Na
AU - Lin , Ping
AU - Gao , Fuzheng
JO - Communications in Computational Physics
VL - 5
SP - 1490
EP - 1509
PY - 2019
DA - 2019/08
SN - 26
DO - http://doi.org/10.4208/cicp.2019.js60.14
UR - https://global-sci.org/intro/article_detail/cicp/13273.html
KW - Cahn-Hilliard equation, dynamic boundary condition, energy law preservation, finite element method.
AB - <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>