@Article{AAMM-15-1142, author = {Huang , HuayiHuang , Yunqing and Tang , Qili}, title = {A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2023}, volume = {15}, number = {5}, pages = {1142--1165}, abstract = {

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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2022-0200}, url = {http://global-sci.org/intro/article_detail/aamm/21771.html} }