MULTIGRID PRECONDITIONERS FOR THE NEWTON-KRYLOV METHOD IN THE OPTIMAL CONTROL OF THE STATIONARY NAVIER-STOKES EQUATIONS
Links to Fileshttps://arxiv.org/pdf/1803.03890.pdf
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Type of Work25 pages
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In this work we construct multigrid preconditioners to be used in the Newton-Krylov method for a distributed optimal control problem constrained by the stationary Navier-Stokes equations. These preconditioners are shown to be of optimal order with respect to the convergence properties of the discrete methods use to solve the Navier-Stokes equations.