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    <id>4000</id>
    <completedYear>2000</completedYear>
    <publishedYear>2000</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>conferenceobject</type>
    <publisherName/>
    <publisherPlace>München</publisherPlace>
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    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
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    <title language="eng">Die Bedeutung breitbandiger und leistungsfähiger Kommunikationsinfrastrukturen für die kraniomaxillofaziale Chirurgie - Möglichkeiten der netzbasierten Bildverarbeitung</title>
    <parentTitle language="eng">Bildverarbeitung für die Medizin 2000 (Abstract)</parentTitle>
    <author>Hans-Florian Zeilhofer</author>
    <author>Robert Sader</author>
    <author>Victor Apostolescu</author>
    <author>Karl-Heinz Hoffmann</author>
    <author>Martin Göbel</author>
    <author>Hans-Christian Hege</author>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="institutes" number="visalgo">Visual Data Analysis in Science and Engineering</collection>
    <collection role="institutes" number="medplan">Therapy Planning</collection>
    <collection role="persons" number="hege">Hege, Hans-Christian</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
  <doc>
    <id>9945</id>
    <completedYear/>
    <publishedYear>2025</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
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    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
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    <title language="eng">A BDDC Preconditioner for the Cardiac EMI Model in three Dimensions</title>
    <abstract language="eng">We analyze a Balancing Domain Decomposition by Constraints (BDDC)&#13;
preconditioner for the solution of three dimensional composite Discontinuous&#13;
Galerkin discretizations of reaction-diffusion systems of ordinary and partial&#13;
differential equations arising in cardiac cell-by-cell models like the&#13;
Extracellular space, Membrane and Intracellular space (EMI) Model. These&#13;
microscopic models are essential for the understanding of events in aging and&#13;
structurally diseased hearts which macroscopic models relying on homogenized&#13;
descriptions of the cardiac tissue, like Monodomain and Bidomain models, fail&#13;
to adequately represent. The modeling of each individual cardiac cell results&#13;
in discontinuous global solutions across cell boundaries, requiring the careful&#13;
construction of dual and primal spaces for the BDDC preconditioner. We provide&#13;
a scalable condition number bound for the precondition operator and validate&#13;
the theoretical results with extensive numerical experiments.</abstract>
    <parentTitle language="eng">SIAM J. Sci. Comput.</parentTitle>
    <identifier type="arxiv">2502.07722</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="SubmissionStatus">accepted for publication</enrichment>
    <enrichment key="opus.source">publish</enrichment>
    <enrichment key="AcceptedDate">2025-11-03</enrichment>
    <author>Fritz Göbel</author>
    <submitter>Martin Weiser</submitter>
    <author>Ngoc Mai Monica Huynh</author>
    <author>Fatemeh Chegini</author>
    <author>Luca Pavarino</author>
    <author>Martin Weiser</author>
    <author>Simone Scacchi</author>
    <author>Hartwig Anzt</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="persons" number="weiser">Weiser, Martin</collection>
    <collection role="projects" number="ZIB-Cardio">ZIB-Cardio</collection>
    <collection role="projects" number="ZIB-Kaskade7">ZIB-Kaskade7</collection>
    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
    <collection role="persons" number="Chegini">Chegini, Fatemeh</collection>
  </doc>
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