Second order stabilized semi-implicit scheme for the Cahn-Hilliard model with dynamic boundary conditions
Numerical Analysis
2022-06-16 v1 Numerical Analysis
Abstract
We study the numerical algorithm and error analysis for the Cahn-Hilliard equation with dynamic boundary conditions. A second-order in time, linear and energy stable scheme is proposed, which is an extension of the first-order stabilized approach. The corresponding energy stability and convergence analysis of the scheme are derived theoretically. Some numerical experiments are performed to verify the effectiveness and accuracy of the second-order numerical scheme, including numerical simulations under various initial conditions and energy potential functions, and comparisons with the literature works.
Cite
@article{arxiv.2206.07325,
title = {Second order stabilized semi-implicit scheme for the Cahn-Hilliard model with dynamic boundary conditions},
author = {Xiangjun Meng and Xuelian Bao and Zhengru Zhang},
journal= {arXiv preprint arXiv:2206.07325},
year = {2022}
}