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Trust-Region POD using A-Posteriori Error Estimation for Semilinear Parabolic Optimal Control Problems

Trust-Region POD using A-Posteriori Error Estimation for Semilinear Parabolic Optimal Control Problems

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Prüfsumme: MD5:43b1e8de2a12a485add666270f399d10

ROGG, Sabrina, Stefan TRENZ, Stefan VOLKWEIN, 2017. Trust-Region POD using A-Posteriori Error Estimation for Semilinear Parabolic Optimal Control Problems

@techreport{Rogg2017Trust-38240, series={Konstanzer Schriften in Mathematik}, title={Trust-Region POD using A-Posteriori Error Estimation for Semilinear Parabolic Optimal Control Problems}, year={2017}, number={359}, author={Rogg, Sabrina and Trenz, Stefan and Volkwein, Stefan} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/38240"> <dc:language>eng</dc:language> <dc:contributor>Rogg, Sabrina</dc:contributor> <dcterms:title>Trust-Region POD using A-Posteriori Error Estimation for Semilinear Parabolic Optimal Control Problems</dcterms:title> <dc:contributor>Volkwein, Stefan</dc:contributor> <dc:creator>Rogg, Sabrina</dc:creator> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-03-31T08:43:54Z</dc:date> <dcterms:abstract xml:lang="eng">An optimal control problem governed by a semilinear heat equation is solved using a globalized inexact Newton method. To reduce the computational effort a model order reduction approach based on proper orthogonal decomposition (POD) is applied. Within a trust region framework we guarantee that the reduced-order models are sufficiently accurate by ensuring gradient accuracy. The gradient error is successfully monitored by an a-posteriori error estimate. Numerical results are presented and discussed.</dcterms:abstract> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/38240"/> <dcterms:issued>2017</dcterms:issued> <dcterms:rights rdf:resource="http://nbn-resolving.de/urn:nbn:de:bsz:352-20150914100631302-4485392-8"/> <dc:contributor>Trenz, Stefan</dc:contributor> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-03-31T08:43:54Z</dcterms:available> <dc:creator>Volkwein, Stefan</dc:creator> <dc:creator>Trenz, Stefan</dc:creator> </rdf:Description> </rdf:RDF>

Dateiabrufe seit 31.03.2017 (Informationen über die Zugriffsstatistik)

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