@Article{AAMM-13-4,
author = {Zhao, Jianping and Rui, Chen and Su, Haiyan},
title = {An Energy-Stable Finite Element Method for Incompressible Magnetohydrodynamic-Cahn-Hilliard Coupled Model},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2021},
volume = {13},
number = {4},
pages = {761--790},
abstract = {<p style="text-align: justify;">In this paper, we present an efficient energy stable finite element method for the two phase incompressible Magnetohydrodynamic (MHD) flow which is governed by the incompressible MHD equations and the Cahn-Hilliard equation. The strong nonlinear system governs the dynamics and the coupling of multiple physical fields which are, respectively, the velocity $\mathbf{u}$, the pressure $p$, the magnetic induction $\mathbf{B}$, the concentration $\phi$, and the chemical potential $\mu$. To solve the problem efficiently, we propose a linearized finite element scheme which is absolutely stable in time. Several numerical experiments are shown for demonstrating the competitive behavior of the method.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2020-0044},
url = {https://global-sci.com/article/72989/an-energy-stable-finite-element-method-for-incompressible-magnetohydrodynamic-cahn-hilliard-coupled-model}
}