Error Estimates in Space and Time for Tracking-type Control of the Instationary Stokes System

Abstract

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 implicitly in time. We prove optimal error estimates for the resulting fully-discrete scheme and present numerical examples that confirm our results.KeywordsControl ProblemOptimal Control ProblemBoundary ControlDiscrete SolutionOrder Optimality ConditionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.