A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations

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.

Automated summary

This paper proposes a variational multiscale method for solving flow problems at high Reynolds numbers and proves its stability and convergence.