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

Timo Tonn, K. Urban and S. Volkwein

Mathematical and Computer Modelling of Dynamical Systems, 2010, vol. 17, issue 4, 355-369

Abstract: In this article, a linear-quadratic optimal control problem governed by the Helmholtz equation is considered. For the computation of suboptimal solutions, two different model reduction techniques are compared: the reduced-basis method and proper orthogonal decomposition. By an a posteriori error estimator for the optimal control problem, the accuracy of the suboptimal solutions is ensured. The efficiency of both model reduction approaches is illustrated by a numerical example for the stationary Helmholtz equation.

Date: 2010
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DOI: 10.1080/13873954.2011.547678

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