@unpublished{Banholzer2016Optim-36389,
  year={2016},
  title={Optimal control and model-order reduction of an abstract parabolic system containing a controlled bilinear form : Applied to the example of a controlled advection term in an advection-diffusion equation},
  author={Banholzer, Stefan and Beermann, Dennis},
  note={The present document contains extensive theoretical analysis which is needed for an upcoming article in cooperation with researchers from the Paderborn University.}
}

<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/123456789/36389">
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/36389/3/Banholzer_0-378706.pdf"/>
    <dc:creator>Banholzer, Stefan</dc:creator>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/36389"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-12-19T08:27:01Z</dc:date>
    <dc:language>eng</dc:language>
    <dc:contributor>Banholzer, Stefan</dc:contributor>
    <dcterms:title>Optimal control and model-order reduction of an abstract parabolic system containing a controlled bilinear form : Applied to the example of a controlled advection term in an advection-diffusion equation</dcterms:title>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-12-19T08:27:01Z</dcterms:available>
    <dc:rights>terms-of-use</dc:rights>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:abstract xml:lang="eng">In the present paper, a linear parabolic evolution equation is considered whose bilinear form is controlled from a general Banach space. The control-to-state operator and some important properties thereof are presented. For a quadratic objective function, the gradient in the control space is derived. A-posteriori error estimators are presented for a given reduced-order model (ROM) with respect to both the cost function and the gradient.</dcterms:abstract>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/36389/3/Banholzer_0-378706.pdf"/>
    <dc:contributor>Beermann, Dennis</dc:contributor>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:creator>Beermann, Dennis</dc:creator>
    <dcterms:issued>2016</dcterms:issued>
  </rdf:Description>
</rdf:RDF>