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Optimal control of parameter-dependent convection-diffusion problems around rigid bodies

Optimal control of parameter-dependent convection-diffusion problems around rigid bodies

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TONN, Timo, Karsten URBAN, Stefan VOLKWEIN, 2010. Optimal control of parameter-dependent convection-diffusion problems around rigid bodies. In: SIAM Journal on Scientific Computing. 32(3), pp. 1237-1260. ISSN 1064-8275

@article{Tonn2010Optim-12765, title={Optimal control of parameter-dependent convection-diffusion problems around rigid bodies}, year={2010}, doi={10.1137/08074194X}, number={3}, volume={32}, issn={1064-8275}, journal={SIAM Journal on Scientific Computing}, pages={1237--1260}, author={Tonn, Timo and Urban, Karsten 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/123456789/12765"> <dcterms:abstract xml:lang="eng">This paper is concerned with optimal control problems of elliptic partial differential equations. In particular, parametrized convection-diffusion problems are considered, where the parameter appears in the coefficients of the partial differential equation. Moreover, the presence of one or more rigid bodies is assumed inside the domain. Both the theory (existence, differentiability, optimality criteria) is investigated and the numerical solution (projected gradient scheme) of such problems is carried out. Finally, it is shown that optimizing the efficiency of a rotating propeller fits into the presented framework, and the results of corresponding numerical experiments are given.</dcterms:abstract> <dc:contributor>Tonn, Timo</dc:contributor> <dc:creator>Urban, Karsten</dc:creator> <dc:language>eng</dc:language> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103605204-4002607-1"/> <dcterms:issued>2010</dcterms:issued> <dcterms:title>Optimal control of parameter-dependent convection-diffusion problems around rigid bodies</dcterms:title> <dcterms:bibliographicCitation>First publ. in: SIAM journal on scientific computing 32 (2010), 3, pp. 1237-1260</dcterms:bibliographicCitation> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/12765"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-07-15T09:01:03Z</dcterms:available> <dc:rights>deposit-license</dc:rights> <dc:creator>Volkwein, Stefan</dc:creator> <dc:contributor>Volkwein, Stefan</dc:contributor> <dc:creator>Tonn, Timo</dc:creator> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-07-15T09:01:03Z</dc:date> <dc:contributor>Urban, Karsten</dc:contributor> </rdf:Description> </rdf:RDF>

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