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  <doc>
    <id>825</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2004-12-20</completedDate>
    <publishedDate>2004-12-20</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Homogenization for a Nonlocal Coupling Model</title>
    <abstract language="eng">In [7,8,12] homogenization techniques are applied to derive an anisotropic variant of the bio-heat transfer equation as asymptotic result of boundary value problems providing a microscopic description for microvascular tissue. In view of a future application on treatment planning in hyperthermia, we investigate here the homogenization limit for a coupling model, which takes additionally into account the influence of convective heat transfer in medium size blood vessels. This leads to second order elliptic boundary value problems with nonlocal boundary conditions on parts of the boundary. Moreover, we present asymptotic estimates for first order correctors.</abstract>
    <identifier type="serial">04-50</identifier>
    <identifier type="opus3-id">826</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-8251</identifier>
    <enrichment key="SourceTitle">Appeared in: Appl. Anal. 87, No.12, 1311-1323 (2008)</enrichment>
    <author>Reinhard Hochmuth</author>
    <series>
      <title>ZIB-Report</title>
      <number>04-50</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Homogenization</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>nonlocal boundary conditions</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Robin boundary conditions</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>correctos</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>heat transfer</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>bio-heat equation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>hyperthermia</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="35B27">Homogenization; equations in media with periodic structure [See also 74Qxx, 76M50]</collection>
    <collection role="msc" number="35J25">Boundary value problems for second-order elliptic equations</collection>
    <collection role="msc" number="80A20">Heat and mass transfer, heat flow</collection>
    <collection role="msc" number="92C50">Medical applications (general)</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/825/ZR-04-50.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/825/ZR-04-50.pdf</file>
  </doc>
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