Functional a posteriori error estimates for time-periodic parabolic optimal control problems

Ulrich Langer; Sergey Repin; Monika Wolfmayr

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arXiv · 1511.05699

Functional a posteriori error estimates for time-periodic parabolic optimal control problems

Ulrich Langer·Sergey Repin·Monika Wolfmayr

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Abstract

This paper is devoted to the a posteriori error analysis of multiharmonic finite element approximations to distributed optimal control problems with time-periodic state equations of parabolic type. We derive a posteriori estimates of functional type, which are easily computable and provide guaranteed upper bounds for the state and co-state errors as well as for the cost functional. These theoretical results are confirmed by several numerical tests that show high efficiency of the a posteriori error bounds.

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Ulrich Langer, Sergey Repin, Monika Wolfmayr. 2015-11-18. Functional a posteriori error estimates for time-periodic parabolic optimal control problems. https://arxiv.org/abs/1511.05699

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