Year: 2021
Author: Xiaodi Zhang, Weiying Zheng
Journal of Computational Mathematics, Vol. 39 (2021), Iss. 3 : pp. 453–470
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2006-m2020-0071
Journal of Computational Mathematics, Vol. 39 (2021), Iss. 3 : pp. 453–470
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Monolithic multigrid Magnetohydrodynamic equations Diagonal Braess-Sarazin smoother Finite element method.