@incollection{Bernreuther2022Reduc-49208.3,
  year={2022},
  doi={10.1515/9783110695984-001},
  title={Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE},
  number={29},
  isbn={978-3-11-069596-0},
  publisher={De Gruyter},
  address={Berlin},
  series={Radon Series on Computational and Applied Mathematics},
  booktitle={Optimization and Control for Partial Differential Equations : Uncertainty quantification, open and closed-loop control, and shape optimization},
  pages={1--32},
  editor={Herzog, Roland and Heinkenschloß, Matthias and Kalise, Dante},
  author={Bernreuther, Marco and Müller, Georg 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/server/rdf/resource/123456789/49208.3">
    <dcterms:title>Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE</dcterms:title>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:contributor>Müller, Georg</dc:contributor>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:language>eng</dc:language>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/49208.3"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/49208.3/1/Bernreuther_2-14ynfk4rb5c8r3.pdf"/>
    <dc:creator>Volkwein, Stefan</dc:creator>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:contributor>Bernreuther, Marco</dc:contributor>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/49208.3/1/Bernreuther_2-14ynfk4rb5c8r3.pdf"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-02-23T12:57:31Z</dc:date>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-02-23T12:57:31Z</dcterms:available>
    <dc:creator>Bernreuther, Marco</dc:creator>
    <dc:rights>terms-of-use</dc:rights>
    <dcterms:issued>2022</dcterms:issued>
    <dcterms:abstract xml:lang="eng">In this paper, an optimization problem governed by a nonsmooth semilinear elliptic partial differential equation is considered. A reduced order approach is applied in order to obtain a computationally fast and certified numerical solution approach. Using the reduced basis method and efficient a-posteriori error estimation for the primal and dual equations, an adaptive algorithm is developed and tested successfully for several numerical examples.</dcterms:abstract>
    <dc:contributor>Volkwein, Stefan</dc:contributor>
    <dc:creator>Müller, Georg</dc:creator>
  </rdf:Description>
</rdf:RDF>