POD a-posteriori error estimates for linear-quadratic optimal control problems |
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Authors: | F Tröltzsch S Volkwein |
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Institution: | 1.Institute of Mathematics, Faculty II—Mathematics and Natural Sciences,Berlin University of Technology,Berlin,Germany;2.Institute for Mathematics and Scientific Computing,University of Graz,Graz,Austria |
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Abstract: | The main focus of this paper is on an a-posteriori analysis for the method of proper orthogonal decomposition (POD) applied
to optimal control problems governed by parabolic and elliptic PDEs. Based on a perturbation method it is deduced how far
the suboptimal control, computed on the basis of the POD model, is from the (unknown) exact one. Numerical examples illustrate
the realization of the proposed approach for linear-quadratic problems governed by parabolic and elliptic partial differential
equations. |
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Keywords: | |
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