Convergence of Adaptive Finite Elements for Optimal Control Problems with Control Constraints

We summarize our findings in the analysis of adaptive finite element methods for the efficient discretization of control constrained optimal control problems. We particularly focus on convergence of the adaptive method, i.e., we show that the sequence of adaptively generated discrete solutions converges to the true solution. We restrict the presentation to a simple model problem to highlight the key components of the convergence proof and comment on generalizations of the presented result.

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