Optimal Control Problems in Coefficients: Sensitivity Analysis and Approximation
In this chapter, we are mainly interested in optimal L ∞(Ω)-control of the coefficients of an elliptic Dirichlet problem. We prove an existence result for this problem using the direct method of Calculus of Variations, and then we provide a sensitivity analysis of this problem on a reticulated structured with respect to the domain perturbation and discuss possible ways for the approximation of its solutions.
KeywordsWeak Solution Open Subset Optimal Control Problem Strong Convergence Admissible Control
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