POD a-posteriori error analysis for optimal control Problems with mixed control-state constraints
| dc.contributor.author | Gubisch, Martin | |
| dc.contributor.author | Volkwein, Stefan | |
| dc.date.accessioned | 2013-06-06T09:21:05Z | deu |
| dc.date.available | 2013-06-06T09:21:05Z | deu |
| dc.date.issued | 2013 | deu |
| dc.description.abstract | In this work linear-quadratic optimal control problems for parabolic equations with mixed control-state constraints are considered. These Problems arise when a Lavrentiev regularization is utilized for state constrained linear-quadratic optimal control problems. For the numerical solution a Galerkin discretization is applied utilizing proper orthogonal decomposition (POD). Based on a perturbation method it is determined how far the suboptimal control, computed on the basis of the POD method, is from the (unknown) exact one. Numerical examples illustrate the theoretical results. In particular, the POD Galerkin scheme is applied to a problem with state constraints. | eng |
| dc.description.version | published | |
| dc.identifier.ppn | 383240727 | deu |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/22919 | |
| dc.language.iso | eng | deu |
| dc.legacy.dateIssued | 2013-06-06 | deu |
| dc.relation.ispartofseries | Konstanzer Schriften in Mathematik | |
| dc.rights | terms-of-use | deu |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | deu |
| dc.subject.ddc | 510 | deu |
| dc.title | POD a-posteriori error analysis for optimal control Problems with mixed control-state constraints | eng |
| dc.type | WORKINGPAPER | deu |
| dspace.entity.type | Publication | |
| kops.bibliographicInfo.seriesNumber | 314 | deu |
| kops.citation.bibtex | @techreport{Gubisch2013apost-22919,
year={2013},
series={Konstanzer Schriften in Mathematik},
title={POD a-posteriori error analysis for optimal control Problems with mixed control-state constraints},
number={314},
author={Gubisch, Martin and Volkwein, Stefan}
} | |
| kops.citation.iso690 | GUBISCH, Martin, Stefan VOLKWEIN, 2013. POD a-posteriori error analysis for optimal control Problems with mixed control-state constraints | deu |
| kops.citation.iso690 | GUBISCH, Martin, Stefan VOLKWEIN, 2013. POD a-posteriori error analysis for optimal control Problems with mixed control-state constraints | eng |
| kops.citation.rdf | <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/server/rdf/resource/123456789/22919">
<dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/22919/1/Gubisch_Volkwein_314.pdf"/>
<dc:contributor>Volkwein, Stefan</dc:contributor>
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dc:rights>terms-of-use</dc:rights>
<dc:contributor>Gubisch, Martin</dc:contributor>
<dcterms:abstract xml:lang="eng">In this work linear-quadratic optimal control problems for parabolic equations with mixed control-state constraints are considered. These Problems arise when a Lavrentiev regularization is utilized for state constrained linear-quadratic optimal control problems. For the numerical solution a Galerkin discretization is applied utilizing proper orthogonal decomposition (POD). Based on a perturbation method it is determined how far the suboptimal control, computed on the basis of the POD method, is from the (unknown) exact one. Numerical examples illustrate the theoretical results. In particular, the POD Galerkin scheme is applied to a problem with state constraints.</dcterms:abstract>
<dc:language>eng</dc:language>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-06-06T09:21:05Z</dc:date>
<dc:creator>Volkwein, Stefan</dc:creator>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/22919"/>
<dcterms:title>POD a-posteriori error analysis for optimal control Problems with mixed control-state constraints</dcterms:title>
<dcterms:issued>2013</dcterms:issued>
<dc:creator>Gubisch, Martin</dc:creator>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-06-06T09:21:05Z</dcterms:available>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/22919/1/Gubisch_Volkwein_314.pdf"/>
</rdf:Description>
</rdf:RDF> | |
| kops.description.openAccess | openaccessgreen | |
| kops.flag.knbibliography | true | |
| kops.identifier.nbn | urn:nbn:de:bsz:352-229199 | deu |
| kops.relation.seriesofconstance | Konstanzer Schriften in Mathematik | |
| kops.submitter.email | stefan.volkwein@uni-konstanz.de | deu |
| relation.isAuthorOfPublication | e9bc68c9-e2ac-40a9-b319-9d8deb7f8ca5 | |
| relation.isAuthorOfPublication | 1331ea51-1e11-44de-851e-280a04907915 | |
| relation.isAuthorOfPublication.latestForDiscovery | e9bc68c9-e2ac-40a9-b319-9d8deb7f8ca5 | |
| relation.isSeriesOfPublication | a1589bea-acb2-472c-b7fc-851d945493a4 | |
| relation.isSeriesOfPublication.latestForDiscovery | a1589bea-acb2-472c-b7fc-851d945493a4 |
Dateien
Originalbündel
1 - 1 von 1
Vorschaubild nicht verfügbar
- Name:
- Gubisch_Volkwein_314.pdf
- Größe:
- 1.46 MB
- Format:
- Adobe Portable Document Format
Lizenzbündel
1 - 1 von 1
Vorschaubild nicht verfügbar
- Name:
- license.txt
- Größe:
- 1.92 KB
- Format:
- Plain Text
- Beschreibung:
