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• W2510311095 abstract "The velocity tracking problem for the evolutionary Navier–Stokes equations in 2d is studied. The controls are of distributed type but the cost functional does not involve the usual quadratic term for the control. As a consequence the resulting controls can be of bang-bang type. First and second order necessary and sufficient conditions are proved. A fully-discrete scheme based on discontinuous (in time) Galerkin approach combined with conforming finite element subspaces in space, is proposed and analyzed. Provided that the time and space discretization parameters, τ and h respectively, satisfy τ ≤ Ch2, then L2 error estimates are proved for the difference between the states corresponding to locally optimal controls and their discrete approximations." @default.
• W2510311095 created "2016-09-16" @default.
• W2510311095 creator A5024069838 @default.
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• W2510311095 date "2017-05-31" @default.
• W2510311095 modified "2023-10-02" @default.
• W2510311095 title "Error estimates for the approximation of the velocity tracking problem with Bang-Bang controls" @default.
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• W2510311095 doi "https://doi.org/10.1051/cocv/2016054" @default.
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