• Corpus ID: 233476644

# An augmented Lagrangian preconditioner for the magnetohydrodynamics equations at high Reynolds and coupling numbers

@article{Laakmann2021AnAL,
title={An augmented Lagrangian preconditioner for the magnetohydrodynamics equations at high Reynolds and coupling numbers},
author={Fabian Laakmann and Patrick E. Farrell and Lawrence Mitchell},
journal={ArXiv},
year={2021},
volume={abs/2104.14855}
}
• Published 30 April 2021
• Computer Science
• ArXiv
. The magnetohydrodynamics (MHD) equations are generally known to be diﬃcult to solve numerically, due to their highly nonlinear structure and the strong coupling between the electromagnetic and hydrodynamic variables, especially for high Reynolds and coupling numbers. In this work, we present a scalable augmented Lagrangian preconditioner for a ﬁnite element discretization of the B - E formulation of the incompressible viscoresistive MHD equations. For stationary problems, our solver achieves…
5 Citations

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