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. Based on the first order optimality conditions, the solution is approximated by finite elements in space and and implicitly in time. We prove optimal error estimates for the resulting fully-discrete scheme and present numerical examples that confirm our results.

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