KOPS - The Institutional Repository of the University of Konstanz

Optimization strategy for parameter sampling in the reduced basis method

Optimization strategy for parameter sampling in the reduced basis method

Cite This

Files in this item

Checksum: MD5:3b020aba2464b12691b730bda22fec7f

IAPICHINO, Laura, Stefan VOLKWEIN, 2015. Optimization strategy for parameter sampling in the reduced basis method

@unpublished{Iapichino2015Optim-30107, title={Optimization strategy for parameter sampling in the reduced basis method}, year={2015}, author={Iapichino, Laura and Volkwein, Stefan}, note={Konferenzbeitrag zu: MATHMOD 2015, 8th Vienna Conference on Mathematical Modeling, February 18-20, 2015} }

<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/123456789/30107"> <dc:rights>terms-of-use</dc:rights> <dc:contributor>Volkwein, Stefan</dc:contributor> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-02-27T10:43:05Z</dc:date> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/52"/> <dcterms:issued>2015</dcterms:issued> <dc:creator>Iapichino, Laura</dc:creator> <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/30107/3/Iapichino_0-253935.pdf"/> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dc:creator>Volkwein, Stefan</dc:creator> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/30107"/> <dcterms:abstract xml:lang="eng">The reduced basis (RB) method is an efficient technique to solve parametric partial differential equations in a multi-query context, where the solution has to be computed for many different parameter values. The RB method drastically reduces the computational time for any additional solution (during the so-called online stage) once an initial set of basis functions has been computed (during the so-called offline stage) still retaining a certified level of accuracy. The greedy algorithm is the classical sampling strategy to select parameter values that define the set of basis functions. Here, an alternative and competitive approach for choosing the parameter values is presented. The new approach is based on an optimization problem for the parameters that allows to reduce the computational complexity of the offline stage of the RB method and improve its effectiveness.</dcterms:abstract> <dc:contributor>Iapichino, Laura</dc:contributor> <dcterms:rights rdf:resource="https://kops.uni-konstanz.de/page/termsofuse"/> <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/30107/3/Iapichino_0-253935.pdf"/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:language>eng</dc:language> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-02-27T10:43:05Z</dcterms:available> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/52"/> <dcterms:title>Optimization strategy for parameter sampling in the reduced basis method</dcterms:title> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> </rdf:Description> </rdf:RDF>

Downloads since Feb 27, 2015 (Information about access statistics)

Iapichino_0-253935.pdf 370

This item appears in the following Collection(s)

Search KOPS


Browse

My Account