@Article{JCM-42-2,
author = {Yao, Changhui and Zhang, Fengdan and Wang, Cheng},
title = {A Scalar Auxiliary Variable (SAV) Finite Element Numerical Scheme for the Cahn-Hilliard-Hele-Shaw System with Dynamic Boundary Conditions},
journal = {Journal of Computational Mathematics},
year = {2024},
volume = {42},
number = {2},
pages = {544--569},
abstract = {<p style="text-align: justify;">In this paper, we consider the Cahn-Hilliard-Hele-Shaw (CHHS) system with the dynamic boundary conditions, in which both the bulk and surface energy parts play important
roles. The scalar auxiliary variable approach is introduced for the physical system; the mass
conservation and energy dissipation is proved for the CHHS system. Subsequently, a fully
discrete SAV finite element scheme is proposed, with the mass conservation and energy
dissipation laws established at a theoretical level. In addition, the convergence analysis
and error estimate is provided for the proposed SAV numerical scheme.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2205-m2021-0234},
url = {https://global-sci.com/article/84098/a-scalar-auxiliary-variable-sav-finite-element-numerical-scheme-for-the-cahn-hilliard-hele-shaw-system-with-dynamic-boundary-conditions}
}