Preprint Open Access

Coupling of Model Order Reduction and Multirate Techniquesfor Coupled Dynamical Systems

Bannenberg, Marcus; Ciccazzo, Angelo; Günther, Michael


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  <identifier identifierType="DOI">10.5281/zenodo.3933001</identifier>
  <creators>
    <creator>
      <creatorName>Bannenberg, Marcus</creatorName>
      <givenName>Marcus</givenName>
      <familyName>Bannenberg</familyName>
      <affiliation>IMACM, Bergische Universität Wuppertal</affiliation>
    </creator>
    <creator>
      <creatorName>Ciccazzo, Angelo</creatorName>
      <givenName>Angelo</givenName>
      <familyName>Ciccazzo</familyName>
      <affiliation>STMicroelectronics</affiliation>
    </creator>
    <creator>
      <creatorName>Günther, Michael</creatorName>
      <givenName>Michael</givenName>
      <familyName>Günther</familyName>
      <affiliation>IMACM, Bergische Universität Wuppertal</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Coupling of Model Order Reduction and Multirate Techniquesfor Coupled Dynamical Systems</title>
  </titles>
  <publisher>Zenodo</publisher>
  <publicationYear>2020</publicationYear>
  <subjects>
    <subject>Multirate, Model Order Reduction, Differential-Algebraic Equations, Coupled Systems, Proper OrthogonalDecomposition</subject>
  </subjects>
  <dates>
    <date dateType="Issued">2020-06-26</date>
  </dates>
  <language>en</language>
  <resourceType resourceTypeGeneral="Preprint"/>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://zenodo.org/record/3933001</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.5281/zenodo.3933000</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="URL" relationType="IsPartOf">https://zenodo.org/communities/romsoc</relatedIdentifier>
  </relatedIdentifiers>
  <version>1.0</version>
  <rightsList>
    <rights rightsURI="https://creativecommons.org/licenses/by/4.0/legalcode">Creative Commons Attribution 4.0 International</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;In refined network simulation one is faced with simulating coupled dynamical systems, as for instance circuitsare coupled to heat or electromagnetics. Simulation costs of such coupled systems can be reduced by bothmodel order reduction and multirate techniques. In this paper we discuss the coupling of both approachesby linking the slowest first multirate technique to the nonlinear proper orthogonal decomposition modelorder reduction. For a nonlinear coupled thermal-electrical test example numerical results show the provenconvergence of the combined reduced order multirate scheme.&lt;/p&gt;</description>
    <description descriptionType="Other">Preprint BUW-IMACM 20/22, Institute of Mathematical Modelling, Analysis and Computational Mathematics (IMACM), Bergische Universität Wuppertal, June 2020</description>
  </descriptions>
  <fundingReferences>
    <fundingReference>
      <funderName>European Commission</funderName>
      <funderIdentifier funderIdentifierType="Crossref Funder ID">10.13039/100010661</funderIdentifier>
      <awardNumber awardURI="info:eu-repo/grantAgreement/EC/H2020/765374/">765374</awardNumber>
      <awardTitle>Reduced Order Modelling, Simulation and Optimization of Coupled systems</awardTitle>
    </fundingReference>
  </fundingReferences>
</resource>
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