Functional approach to a posteriori error estimation for elliptic optimal control problems with distributed control |
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| Authors: | A Gaevskaya R H W Hoppe S Repin |
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| Institution: | 1.Institute of Mathematics,Universit?t Augsburg,Germany;2.University of Houston,USA;3.Steklov Institute of Mathematics,RAS,St.Petersburg,Russia |
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| Abstract: | A new approach to the a posteriori analysis of distributed optimal control problems is presented. The approach is based on
functional type a posteriori estimates that provide computable and guaranteed bounds of errors for any conforming approximations
of a boundary value problem. Computable two-sided a posteriori estimates for the cost functional and estimates for approximations
of the state and control functions are derived. Numerical results illustrate the efficiency of the approach. Bibliography:
35 titles.
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Translated from Problemy Matematicheskogo Analiza, No. 35, 2007, pp. 3–14 |
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