Reduced Basis a Posteriori Error Bounds for Parametrized Linear–Quadratic Elliptic Optimal Control Problems
نویسندگان
چکیده
We employ the reduced basis method as a surrogate model for the solution of optimal control problems governed by parametrized partial differential equations (PDEs) and develop rigorous a posteriori error bounds for the error in the optimal control and the associated error in the cost functional. The proposed bounds can be efficiently evaluated in an offline-online computational procedure. We present numerical results that confirm the validity of our approach. To cite this article: M.A. Grepl, M. Kärcher, C. R. Acad. Sci. Paris, Ser. I XXX (2011).
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