A minimizing-movements approach to GENERIC systems

Kurzanzeige
dc.contributor.authorJüngel, Ansgar
dc.contributor.authorStefanelli, Ulisse
dc.contributor.authorTrussardi, Lara
dc.date.accessioned2021-11-12T12:40:55Z
dc.date.available2021-11-12T12:40:55Z
dc.date.issued2022eng
dc.description.abstractWe present a new time discretization scheme adapted to the structure of GENERIC systems. The scheme is based on incremental minimization and is therefore variational in nature. The GENERIC structure of the scheme provides stability and conditional convergence. We show that the scheme can be rigorously implemented in the classical case of the damped harmonic oscillator. Numerical evidence is collected, illustrating the performance of the method and, in particular, the conservation of the energy at the discrete level.eng
dc.description.versionpublishedeng
dc.identifier.doi10.3934/mine.2022005eng
dc.identifier.ppn177734476X
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/55529
dc.language.isoengeng
dc.rightsterms-of-use
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/
dc.subjectdamped harmonic oscillator, structure-preserving time discretization, GENERIC systemeng
dc.subject.ddc510eng
dc.titleA minimizing-movements approach to GENERIC systemseng
dc.typeJOURNAL_ARTICLEeng
dspace.entity.typePublication
kops.citation.bibtex
@article{Jungel2022minim-55529,
  year={2022},
  doi={10.3934/mine.2022005},
  title={A minimizing-movements approach to GENERIC systems},
  number={1},
  volume={4},
  journal={Mathematics in Engineering},
  pages={1--18},
  author={Jüngel, Ansgar and Stefanelli, Ulisse and Trussardi, Lara}
}
kops.citation.iso690JÜNGEL, Ansgar, Ulisse STEFANELLI, Lara TRUSSARDI, 2022. A minimizing-movements approach to GENERIC systems. In: Mathematics in Engineering. AIMS Press. 2022, 4(1), pp. 1-18. eISSN 2640-3501. Available under: doi: 10.3934/mine.2022005deu
kops.citation.iso690JÜNGEL, Ansgar, Ulisse STEFANELLI, Lara TRUSSARDI, 2022. A minimizing-movements approach to GENERIC systems. In: Mathematics in Engineering. AIMS Press. 2022, 4(1), pp. 1-18. eISSN 2640-3501. Available under: doi: 10.3934/mine.2022005eng
kops.citation.rdf
<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/123456789/55529">
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-11-12T12:40:55Z</dcterms:available>
    <dcterms:title>A minimizing-movements approach to GENERIC systems</dcterms:title>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/55529/1/Juengel_2-4xwta4dbwp3g9.pdf"/>
    <dcterms:abstract xml:lang="eng">We present a new time discretization scheme adapted to the structure of GENERIC systems. The scheme is based on incremental minimization and is therefore variational in nature. The GENERIC structure of the scheme provides stability and conditional convergence. We show that the scheme can be rigorously implemented in the classical case of the damped harmonic oscillator. Numerical evidence is collected, illustrating the performance of the method and, in particular, the conservation of the energy at the discrete level.</dcterms:abstract>
    <dc:creator>Jüngel, Ansgar</dc:creator>
    <dc:contributor>Stefanelli, Ulisse</dc:contributor>
    <dc:creator>Trussardi, Lara</dc:creator>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/55529"/>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:rights>terms-of-use</dc:rights>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:issued>2022</dcterms:issued>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/55529/1/Juengel_2-4xwta4dbwp3g9.pdf"/>
    <dc:contributor>Jüngel, Ansgar</dc:contributor>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:language>eng</dc:language>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-11-12T12:40:55Z</dc:date>
    <dc:creator>Stefanelli, Ulisse</dc:creator>
    <dc:contributor>Trussardi, Lara</dc:contributor>
  </rdf:Description>
</rdf:RDF>
kops.description.openAccessopenaccessgoldeng
kops.flag.isPeerReviewedunknowneng
kops.flag.knbibliographytrue
kops.identifier.nbnurn:nbn:de:bsz:352-2-4xwta4dbwp3g9
kops.sourcefieldMathematics in Engineering. AIMS Press. 2022, <b>4</b>(1), pp. 1-18. eISSN 2640-3501. Available under: doi: 10.3934/mine.2022005deu
kops.sourcefield.plainMathematics in Engineering. AIMS Press. 2022, 4(1), pp. 1-18. eISSN 2640-3501. Available under: doi: 10.3934/mine.2022005deu
kops.sourcefield.plainMathematics in Engineering. AIMS Press. 2022, 4(1), pp. 1-18. eISSN 2640-3501. Available under: doi: 10.3934/mine.2022005eng
relation.isAuthorOfPublication59598604-2d06-4fe2-a63e-e71a480aa908
relation.isAuthorOfPublication.latestForDiscovery59598604-2d06-4fe2-a63e-e71a480aa908
source.bibliographicInfo.fromPage1eng
source.bibliographicInfo.issue1eng
source.bibliographicInfo.toPage18eng
source.bibliographicInfo.volume4eng
source.identifier.eissn2640-3501eng
source.periodicalTitleMathematics in Engineeringeng
source.publisherAIMS Presseng

Dateien

Originalbündel

Gerade angezeigt 1 - 1 von 1
Vorschaubild nicht verfügbar
Name:
Juengel_2-4xwta4dbwp3g9.pdf
Größe:
444.33 KB
Format:
Adobe Portable Document Format
Beschreibung:
Juengel_2-4xwta4dbwp3g9.pdf
Juengel_2-4xwta4dbwp3g9.pdfGröße: 444.33 KBDownloads: 305

Lizenzbündel

Gerade angezeigt 1 - 1 von 1
Vorschaubild nicht verfügbar
Name:
license.txt
Größe:
3.96 KB
Format:
Item-specific license agreed upon to submission
Beschreibung:
license.txt
license.txtGröße: 3.96 KBDownloads: 0

Sammlungen

Mathematik und Statistik: Publikationen