TY - JOUR
T1 - A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations
AU - Huang , Huayi
AU - Huang , Yunqing
AU - Tang , Qili
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 1142
EP - 1165
PY - 2023
DA - 2023/06
SN - 15
DO - http://doi.org/10.4208/aamm.OA-2022-0200
UR - https://global-sci.org/intro/article_detail/aamm/21771.html
KW - Variational multiscale method, stationary incompressible magnetohydrodynamics, large-scale spaces, stability and convergence, high Reynolds numbers.
AB - <p style="text-align: justify;">In this paper, we propose a variational multiscale method (VMM) for the
stationary incompressible magnetohydrodynamics equations. This method is defined
by large-scale spaces for the velocity field and the magnetic field, which aims to solve
flows at high Reynolds numbers. We provide a new VMM formulation and prove
its stability and convergence. Finally, some numerical experiments are presented to
indicate the optimal convergence of our method.</p>