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An overlapping waveform-relaxation preconditioner for economic optimal control problems with state constraints

An overlapping waveform-relaxation preconditioner for economic optimal control problems with state constraints

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CIARAMELLA, Gabriele, Luca MECHELLI, 2021. An overlapping waveform-relaxation preconditioner for economic optimal control problems with state constraints

@unpublished{Ciaramella2021-03-27T09:19:55Zoverl-55636, title={An overlapping waveform-relaxation preconditioner for economic optimal control problems with state constraints}, year={2021}, author={Ciaramella, Gabriele and Mechelli, Luca} }

<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/rdf/resource/123456789/55636"> <dcterms:abstract xml:lang="eng">In this work, a class of parabolic economic optimal control problems is considered. These problems are characterized by pointwise state constraints regularized by a parameter, which transforms the pure state constraints in mixed control-state ones. However, the convergence of classical (semismooth) Newton methods deteriorates for decreasing values of the regularization parameter. To tackle this problem, a nonlinear preconditioner is introduced. This is based on an overlapping optimized waveform-relaxation method characterized by Robin transmission conditions. Numerical experiments show that appropriate choices of the overlap and of the Robin parameter lead to a preconditioned Newton method with a robust convergence against the state constraints regularization parameter.</dcterms:abstract> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/55636"/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:title>An overlapping waveform-relaxation preconditioner for economic optimal control problems with state constraints</dcterms:title> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dc:language>eng</dc:language> <dcterms:issued>2021-03-27T09:19:55Z</dcterms:issued> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dc:creator>Mechelli, Luca</dc:creator> <dc:creator>Ciaramella, Gabriele</dc:creator> <dc:contributor>Mechelli, Luca</dc:contributor> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-11-24T10:29:45Z</dcterms:available> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-11-24T10:29:45Z</dc:date> <dc:contributor>Ciaramella, Gabriele</dc:contributor> <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/> <dc:rights>terms-of-use</dc:rights> </rdf:Description> </rdf:RDF>

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