Abstract:We consider the two-level methods based on Arrow-Hurwicz (A-H) iteration for solving the stationary incompressible magnetohydrodynamics problem. The methods carry out some A-H iterations on the coarse mesh, improve the obtained solutions by using one-step scheme on the fine mesh. Such methods enjoy some advantages including that the number of A-H iterations can be flexibly and controllably selected, and they are valid for high hydrodynamic Reynolds number. The convergence analyses are established and various n… Show more
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