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  <doc>
    <id>5069</id>
    <completedYear/>
    <publishedYear>2014</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>2014-06-20</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Spectral Deferred Correction methods for adaptive electro-mechanical coupling in cardiac simulation</title>
    <abstract language="eng">We investigate spectral deferred correction (SDC) methods for time stepping&#13;
and their interplay with spatio-temporal adaptivity, applied to the solution&#13;
of the cardiac electro-mechanical coupling model. This model consists&#13;
of the Monodomain equations, a reaction-diffusion system modeling the cardiac&#13;
bioelectrical activity, coupled with a quasi-static mechanical model describing&#13;
the contraction and relaxation of the cardiac muscle. The numerical&#13;
approximation of the cardiac electro-mechanical coupling is a challenging&#13;
multiphysics problem, because it exhibits very different spatial and temporal&#13;
scales. Therefore, spatio-temporal adaptivity is a promising approach&#13;
to reduce the computational complexity. SDC methods are simple iterative&#13;
methods for solving collocation systems. We exploit their flexibility for combining&#13;
them in various ways with spatio-temporal adaptivity. The accuracy&#13;
and computational complexity of the resulting methods are studied on some&#13;
numerical examples.</abstract>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-50695</identifier>
    <enrichment key="SubmissionStatus">accepted for publication</enrichment>
    <author>Martin Weiser</author>
    <submitter>Martin Weiser</submitter>
    <author>Simone Scacchi</author>
    <series>
      <title>ZIB-Report</title>
      <number>14-22</number>
    </series>
    <collection role="msc" number="65M50">Mesh generation and refinement</collection>
    <collection role="msc" number="65M60">Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods</collection>
    <collection role="msc" number="65M70">Spectral, collocation and related methods</collection>
    <collection role="msc" number="92C50">Medical applications (general)</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</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>
    <file>https://opus4.kobv.de/opus4-zib/files/5069/weiser_ecmi14_ZIBReport.pdf</file>
  </doc>
</export-example>
