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• W4313530798 abstract "In this paper, we propose and analyze three interior penalty DG methods for the stationary incompressible magnetohydrodynamics (MHD) equations. We use div-conforming Brezzi–Douglas–Marini (BDM) elements to discretize the velocity field and therefore the approximation of the velocity field is exactly divergence-free. The magnetic field is approximated by curl-conforming Nédélec elements. In the mixed formulation, the zero mean-valued constraint of the pressure is enforced via a Lagrange multiplier technique. The stability and convergence of the proposed methods are proved in a general Lipschitz domain. Finally, a series of numerical experiments are presented to verify the theoretical results." @default.
• W4313530798 created "2023-01-06" @default.
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• W4313530798 date "2023-06-01" @default.
• W4313530798 modified "2023-09-23" @default.
• W4313530798 title "Three interior penalty DG methods for stationary incompressible magnetohydrodynamics" @default.
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• W4313530798 doi "https://doi.org/10.1016/j.cam.2022.115030" @default.
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