Comparison of the reduced-basis and POD a posteriori error estimators for an elliptic linear-quadratic optimal control problem

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Proper Orthogonal Decomposition for Linear-Quadratic Optimal Control (2013, methodology): “Proper orthogonal decomposition, model-order reduction, apriori and a-posteriori error analysis, linear-quadratic optimal control, primal-dual active set strategy.”
Certified reduced basis approximation for parametrized partial differential equations and applications (2011, background): “(iii) Optimal control [69, 70, 71, 72], shape optimization, inverse and design problems [73, 74] as many-query applications have been and are subject to extensive research, which is of interest also in an industrial context.”