@Article{AAMM-15-5, author = {Huayi, Huang and Yunqing, Huang 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 = {https://global-sci.com/article/72868/a-finite-element-variational-multiscale-method-for-stationary-incompressible-magnetohydrodynamics-equations} }