N ov 2 01 5 FUNCTIONAL A POSTERIORI ERROR ESTIMATES FOR TIME-PERIODIC PARABOLIC OPTIMAL CONTROL PROBLEMS
semanticscholar(2018)
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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