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Adaptive Methods for Control Problems with Finite-Dimensional Control Space

Saheed Akindeinde 1 Daniel Wachsmuth 1
1 OeAW - Austrian Academy of Sciences
Abstract : We investigate adaptive methods for optimal control problems with finitely many control parameters. We analyze a-posteriori error estimates based on verification of second-order sufficient optimality conditions. Reliability and efficiency of the error estimator is shown. The estimator is used in numerical tests to guide adaptive mesh refinement.
Keywords : optimal control numerical approximation a-posteriori error estimates adaptive refinement
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IFIP | IFIP-AICT | IFIP-TC | IFIP-TC7 | IFIP-CSMO | IFIP-AICT-391

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Saheed Akindeinde, Daniel Wachsmuth. Adaptive Methods for Control Problems with Finite-Dimensional Control Space. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. pp.59-69, ⟨10.1007/978-3-642-36062-6_6⟩. ⟨hal-01347523⟩

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