@Article{AAMM-17-263,
author = {Li , Yuan and Cui , Xuewei},
title = {Error Analysis of a New Euler Semi-Implicit Time-Discrete Scheme for the Incompressible MHD System with Variable Density},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2024},
volume = {17},
number = {1},
pages = {263--294},
abstract = {<p style="text-align: justify;">The incompressible magnetohydrodynamics system with variable density
is coupled by the incompressible Navier-Stokes equations with variable density and
the Maxwell equations. In this paper, we study a new first-order Euler semi-discrete
scheme for solving this system. The proposed numerical scheme is unconditionally
stable for any time step size $\tau&gt;0.$ Furthermore, a rigorous error analysis is presented
and the first-order temporal convergence rate $\mathcal{O}(\tau)$ is derived by using the method of
mathematical induction and the discrete maximal $L^p$-regularity of the Stokes problem.
Finally, numerical results are given to support the theoretical analysis.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2023-0025},
url = {http://global-sci.org/intro/article_detail/aamm/23602.html}
}