Klaus Deckelnick, Michael Hinze:

Optimal error estimates and computations for tracking-type control of the instationary Stokes system

We consider an optimal control problem of tracking type for Stokes flows in two and three space dimensions. The solution is approximated by a finite element method which is based on the necessary first order optimality conditions. We prove optimal error estimates for the resulting semi--discrete scheme and present numerical examples that confirm our results.

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