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Estimating the control error in discretized PDE-constrained optimization
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R. Becker
Published/Copyright:
September 1, 2006
In this article we develop an a posteriori error estimator for discretized optimal control problems. We are interested in estimating the error in the control variable, measured in a natural norm. We prove an error representation formula involving only quantities at hand in a second-order optimization iteration, supposing a strong form of second-order sufficient condition. Possible generalization to the control-constrained case is indicated.
Published Online: 2006-09-01
Published in Print: 2006-09-01
Copyright 2006, Walter de Gruyter
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Articles in the same Issue
- Preface to the special issue 'Breaking Complexity: Multiscale Methods for Efficient PDE Solvers'
- Estimating the control error in discretized PDE-constrained optimization
- Multiresolution technique and explicit–implicit scheme for multicomponent flows
- Adaptive application of the operator exponential
Articles in the same Issue
- Preface to the special issue 'Breaking Complexity: Multiscale Methods for Efficient PDE Solvers'
- Estimating the control error in discretized PDE-constrained optimization
- Multiresolution technique and explicit–implicit scheme for multicomponent flows
- Adaptive application of the operator exponential
