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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