KOPS - The Institutional Repository of the University of Konstanz

Numerical Analysis of Optimality-System POD for Constrained Optimal Control

Numerical Analysis of Optimality-System POD for Constrained Optimal Control

Cite This

Files in this item

Files Size Format View

There are no files associated with this item.

GRIMM, Eva, Martin GUBISCH, Stefan VOLKWEIN, 2015. Numerical Analysis of Optimality-System POD for Constrained Optimal Control. 3rd International Workshop on Computational Engineering (CE 2014). Stuttgart, Oct 6, 2014 - Oct 10, 2014. In: MEHL, Miriam, ed. and others. Recent Trends in Computational Engineering : CE2014 ; Optimization, Uncertainty, Parallel Algorithmus, Coupled and Complex Problems. Cham [u.a.]:Springer, pp. 297-317. ISSN 1439-7358. eISSN 2197-7100. ISBN 978-3-319-22996-6. Available under: doi: 10.1007/978-3-319-22997-3_18

@inproceedings{Grimm2015Numer-32367, title={Numerical Analysis of Optimality-System POD for Constrained Optimal Control}, year={2015}, doi={10.1007/978-3-319-22997-3_18}, number={105}, isbn={978-3-319-22996-6}, issn={1439-7358}, address={Cham [u.a.]}, publisher={Springer}, series={Lecture Notes in Computational Science and Engineering}, booktitle={Recent Trends in Computational Engineering : CE2014 ; Optimization, Uncertainty, Parallel Algorithmus, Coupled and Complex Problems}, pages={297--317}, editor={Mehl, Miriam}, author={Grimm, Eva and Gubisch, Martin and Volkwein, Stefan} }

<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/32367"> <dc:creator>Volkwein, Stefan</dc:creator> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:contributor>Grimm, Eva</dc:contributor> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-12-08T10:01:50Z</dc:date> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dc:creator>Gubisch, Martin</dc:creator> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dc:language>eng</dc:language> <dcterms:title>Numerical Analysis of Optimality-System POD for Constrained Optimal Control</dcterms:title> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-12-08T10:01:50Z</dcterms:available> <dcterms:abstract xml:lang="eng">In this work linear-quadratic optimal control problems for parabolic equations with control and state constraints are considered. Utilizing a Lavrentiev regularization we obtain a linear-quadratic optimal control problem with mixed control-state constraints. For the numerical solution a Galerkin discretization is applied utilizing proper orthogonal decomposition (POD). Based on a perturbation method it is determined by a-posteriori error analysis how far the suboptimal control, computed on the basis of the POD method, is from the (unknown) exact one. POD basis updates are computed by optimality-system POD. Numerical examples illustrate the theoretical results for control and state constrained optimal control problems.</dcterms:abstract> <dcterms:issued>2015</dcterms:issued> <dc:contributor>Gubisch, Martin</dc:contributor> <dc:creator>Grimm, Eva</dc:creator> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/32367"/> <dc:contributor>Volkwein, Stefan</dc:contributor> </rdf:Description> </rdf:RDF>

This item appears in the following Collection(s)

Search KOPS


Browse

My Account