Adaptive methods for control problems with finite-dimensional control space

Saheed Akindeinde; Daniel Wachsmuth

doi:10.1007/978-3-642-36062-6_6

Adaptive methods for control problems with finite-dimensional control space

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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.

Original language	English
Title of host publication	System Modeling and Optimization - 25th IFIP TC 7 Conference, CSMO 2011, Revised Selected Papers
Pages	59-69
Number of pages	11
DOIs	https://doi.org/10.1007/978-3-642-36062-6_6
Publication status	Published - 2013
Externally published	Yes
Event	25th IFIP TC 7 Conference on System Modeling and Optimization, CSMO 2011 - Berlin, Germany Duration: Sep 12 2011 → Sep 16 2011

Publication series

Name	IFIP Advances in Information and Communication Technology
Volume	391 AICT
ISSN (Print)	1868-4238

Conference

Conference	25th IFIP TC 7 Conference on System Modeling and Optimization, CSMO 2011
Country/Territory	Germany
City	Berlin
Period	9/12/11 → 9/16/11

All Science Journal Classification (ASJC) codes

Information Systems
Computer Networks and Communications
Information Systems and Management

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10.1007/978-3-642-36062-6_6

Cite this

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title = "Adaptive methods for control problems with finite-dimensional control space",

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.",

author = "Saheed Akindeinde and Daniel Wachsmuth",

year = "2013",

doi = "10.1007/978-3-642-36062-6_6",

language = "English",

isbn = "9783642360619",

series = "IFIP Advances in Information and Communication Technology",

pages = "59--69",

booktitle = "System Modeling and Optimization - 25th IFIP TC 7 Conference, CSMO 2011, Revised Selected Papers",

note = "25th IFIP TC 7 Conference on System Modeling and Optimization, CSMO 2011 ; Conference date: 12-09-2011 Through 16-09-2011",

}

Akindeinde, S & Wachsmuth, D 2013, Adaptive methods for control problems with finite-dimensional control space. in System Modeling and Optimization - 25th IFIP TC 7 Conference, CSMO 2011, Revised Selected Papers. IFIP Advances in Information and Communication Technology, vol. 391 AICT, pp. 59-69, 25th IFIP TC 7 Conference on System Modeling and Optimization, CSMO 2011, Berlin, Germany, 9/12/11. https://doi.org/10.1007/978-3-642-36062-6_6

Adaptive methods for control problems with finite-dimensional control space. / Akindeinde, Saheed; Wachsmuth, Daniel.

System Modeling and Optimization - 25th IFIP TC 7 Conference, CSMO 2011, Revised Selected Papers. 2013. p. 59-69 (IFIP Advances in Information and Communication Technology; Vol. 391 AICT).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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PY - 2013

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AB - 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.

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BT - System Modeling and Optimization - 25th IFIP TC 7 Conference, CSMO 2011, Revised Selected Papers

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ER -

Adaptive methods for control problems with finite-dimensional control space

Abstract

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All Science Journal Classification (ASJC) codes

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