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An inverse scattering problem for the time-dependent Maxwell equations : nonlinear optimization and model-order reduction

An inverse scattering problem for the time-dependent Maxwell equations : nonlinear optimization and model-order reduction

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MANCINI, Roberta, Stefan VOLKWEIN, 2012. An inverse scattering problem for the time-dependent Maxwell equations : nonlinear optimization and model-order reduction

@unpublished{Mancini2012inver-18463, title={An inverse scattering problem for the time-dependent Maxwell equations : nonlinear optimization and model-order reduction}, year={2012}, author={Mancini, Roberta 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/123456789/18463"> <dcterms:title>An inverse scattering problem for the time-dependent Maxwell equations : nonlinear optimization and model-order reduction</dcterms:title> <dc:contributor>Mancini, Roberta</dc:contributor> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/18463"/> <dc:contributor>Volkwein, Stefan</dc:contributor> <dc:rights>deposit-license</dc:rights> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103605204-4002607-1"/> <dc:creator>Volkwein, Stefan</dc:creator> <dc:creator>Mancini, Roberta</dc:creator> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2012-02-29T12:06:36Z</dcterms:available> <dc:language>eng</dc:language> <dcterms:abstract xml:lang="eng">In this paper an inverse scattering problem for the time-dependent Maxwell curl equations is considered. This problem is formulated as an optimal control problem governed by partial differential equations. First-order necessary optimality conditions are discussed. For the numerical solution a gradient-based algorithm is applied and successfully tested for some numerical examples. Finally,model-order reduction based on proper orthogonal decomposition is utilized to derive a reduced-order model for the time-dependent Maxwell curl equations. Its applicability is tested with respect to different input frequencies.</dcterms:abstract> <dcterms:issued>2012</dcterms:issued> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2012-02-29T12:06:36Z</dc:date> </rdf:Description> </rdf:RDF>

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