@Article{JCM-39-3,
author = {Zhang, Xiaodi and Zheng, Weiying},
title = {Monolithic Multigrid for Reduced Magnetohydrodynamic Equations},
journal = {Journal of Computational Mathematics},
year = {2021},
volume = {39},
number = {3},
pages = {453--470},
abstract = {<p style="text-align: justify;">In this paper, the monolithic multigrid method is investigated for reduced magnetohydrodynamic equations. We propose a diagonal Braess-Sarazin smoother for the finite
element discrete system and prove the uniform convergence of the MMG method with
respect to mesh sizes. A multigrid-preconditioned FGMRES method is proposed to solve
the magnetohydrodynamic equations. It turns out to be robust for relatively large physical
parameters. By extensive numerical experiments, we demonstrate the optimality of the
monolithic multigrid method with respect to the number of degrees of freedom.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2006-m2020-0071},
url = {https://global-sci.com/article/84230/monolithic-multigrid-for-reduced-magnetohydrodynamic-equations}
}