Reduced basis a posteriori error bounds for parametrized linear-quadratic elliptic optimal control problems

We employ the reduced basis method as a surrogate model for the solution of optimal control problems governed by parametrized partial dierential 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 eciently evaluated in an oine-online computational procedure. We present numerical results that conrm