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• W2907174906 abstract "Abstract An algorithm for resolving magnetohydrodynamic (MHD) flows has been presented recently, that allows for a stable decoupling of the system and uses the penalty-projection method for extra efficiency. The algorithm relies on the choice of Scott–Vogelius finite elements to complement the grad-div stabilization. We propose a small modification of the algorithm, which allows for its usage even with the less sophisticated (and more computationally attractive) Taylor–Hood pair of finite element spaces. We demonstrate numerically, that the new modification of the method is first order accurate in time (as expected by the theory), while the existing method would fail on the Taylor–Hood finite elements (the blow-up of the solution is demonstrated)." @default.
• W2907174906 created "2019-01-11" @default.
• W2907174906 creator A5006126258 @default.
• W2907174906 creator A5064266426 @default.
• W2907174906 date "2019-05-01" @default.
• W2907174906 modified "2023-09-27" @default.
• W2907174906 title "WITHDRAWN: Note on the usage of grad-div stabilization for the penalty-projection algorithm in magnetohydrodynamics" @default.
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• W2907174906 doi "https://doi.org/10.1016/j.amc.2018.12.028" @default.
• W2907174906 hasPublicationYear "2019" @default.
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