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• W2132490216 abstract "The velocity tracking problem for the evolutionary Navier--Stokes equations in two dimensions is studied. The controls are of distributed type and are submitted to bound constraints. First and second order necessary and sufficient conditions are proved. A fully discrete scheme based on the 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, $tau$ and $h$, respectively, satisfy $tau leq Ch^2$, then $L^2$ error estimates of order $O(h)$ are proved for the difference between the locally optimal controls and their discrete approximations." @default.
• W2132490216 created "2016-06-24" @default.
• W2132490216 creator A5024069838 @default.
• W2132490216 creator A5067757319 @default.
• W2132490216 date "2012-01-01" @default.
• W2132490216 modified "2023-09-30" @default.
• W2132490216 title "A Discontinuous Galerkin Time-Stepping Scheme for the Velocity Tracking Problem" @default.
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• W2132490216 doi "https://doi.org/10.1137/110829404" @default.
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