KOPS - Das Institutionelle Repositorium der Universität Konstanz

POD a-posteriori error based inexact SQP method for bilinear elliptic optimal control problems

POD a-posteriori error based inexact SQP method for bilinear elliptic optimal control problems

Zitieren

Dateien zu dieser Ressource

Dateien Größe Format Anzeige

Zu diesem Dokument gibt es keine Dateien.

KAHLBACHER, Martin, Stefan VOLKWEIN, 2010. POD a-posteriori error based inexact SQP method for bilinear elliptic optimal control problems. In: SFB-Report

@misc{Kahlbacher2010apost-12776, title={POD a-posteriori error based inexact SQP method for bilinear elliptic optimal control problems}, year={2010}, author={Kahlbacher, 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/123456789/12776"> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/12776"/> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dcterms:bibliographicCitation>SFB-Report 2010-015. - Graz : Universität, 2010</dcterms:bibliographicCitation> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dc:creator>Kahlbacher, Martin</dc:creator> <dcterms:abstract xml:lang="eng">An optimal control problem governed by a bilinear elliptic equation is considered. This problem is solved by the sequential quadratic programming (SQP) method in an infinite-dimensional framework, where in each level of the iterative method the solution of a linear-quadratic subproblem is computed. For numerical realization this subproblem is discretized by a Galerkin projection using proper orthogonal decomposition (POD). Thus, an approximate (inexact) solution of the subproblem is computed. Based on a POD a-posteriori error estimator developed by Tr¨oltzsch and Volkwein (Comput. Optim. Appl., 44:83-115, 2009) the difference of the suboptimal to the (unknown) optimal solution of the linear-quadratic subproblem is estimated. Hence, the inexctness of the discrete solution is controlled in such a way that locally superlinear or even quadratic rate of convergence of the SQP is ensured. Numerical examples illustrate the efficiency for the proposed approach.</dcterms:abstract> <dc:creator>Volkwein, Stefan</dc:creator> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:contributor>Volkwein, Stefan</dc:contributor> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-09-07T09:18:50Z</dc:date> <dcterms:issued>2010</dcterms:issued> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dc:rights>deposit-license</dc:rights> <dc:contributor>Kahlbacher, Martin</dc:contributor> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-09-07T09:18:50Z</dcterms:available> <dcterms:title>POD a-posteriori error based inexact SQP method for bilinear elliptic optimal control problems</dcterms:title> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103605204-4002607-1"/> <dc:language>eng</dc:language> </rdf:Description> </rdf:RDF>

Das Dokument erscheint in:

KOPS Suche


Stöbern

Mein Benutzerkonto