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  <doc>
    <id>1098</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2008-12-01</completedDate>
    <publishedDate>2008-12-01</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Development and test of a numerical model for pulse thermography in civil engineering</title>
    <abstract language="eng">Pulse thermography of concrete structures is used in civil engineering for detecting voids, honeycombing and delamination. The physical situation is readily modeled by Fourier's law. Despite the simplicity of the PDE structure, quantitatively realistic numerical 3D simulation faces two major obstacles. First, the short heating pulse induces a thin boundary layer at the heated surface which encapsulates all information and therefore has to be resolved faithfully. Even with adaptive mesh refinement techniques, obtaining useful accuracies requires an unsatisfactorily fine discretization. Second, bulk material parameters and boundary conditions are barely known exactly. We address both issues by a semi-analytic reformulation of the heat transport problem and by parameter identification. Numerical results are compared with measurements of test specimens.</abstract>
    <identifier type="serial">08-45</identifier>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="opus3-id">1135</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-10980</identifier>
    <enrichment key="SourceTitle">Appeared in: Heat and Mass Transfer: Volume 46, Issue 11(2010), Page 1419</enrichment>
    <author>Martin Weiser</author>
    <submitter>unknown unknown</submitter>
    <author>Mathias Röllig</author>
    <author>Ralf Arndt</author>
    <author>Bodo Erdmann</author>
    <series>
      <title>ZIB-Report</title>
      <number>08-45</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>finite element model</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>KARDOS</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>pulse thermography</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>civil engineering</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>inverse solution</value>
    </subject>
    <collection role="ddc" number="510">Mathematik</collection>
    <collection role="pacs" number="44.05.+e">Analytical and numerical techniques</collection>
    <collection role="pacs" number="44.20.+b">Boundary layer heat flow</collection>
    <collection role="msc" number="65M50">Mesh generation and refinement</collection>
    <collection role="msc" number="80M10">Finite element methods</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="BAM-Thermography">BAM-Thermography</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1098/ZR_08_45.pdf</file>
  </doc>
  <doc>
    <id>864</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2005-05-20</completedDate>
    <publishedDate>2005-05-20</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Adaptivity in Space and Time for Reaction-Diffusion Systems in Electrocardiology</title>
    <abstract language="eng">Adaptive numerical methods in space and time are introduced and studied for multiscale cardiac reaction-diffusion models in three dimensions. The evolution of a complete heartbeat, from the excitation to the recovery phase, is simulated with both the anisotropic Bidomain and Monodomain models, coupled with either a variant of the simple FitzHugh-Nagumo model or the more complex phase-I Luo-Rudy ionic model. The simulations are performed with the {\sc kardos} library, that employs adaptive finite elements in space and adaptive linearly implicit methods in time. The numerical results show that this adaptive method successfully solves these complex cardiac reaction-diffusion models on three-dimensional domains of moderate sizes. By automatically adapting the spatial meshes and time steps to the proper scales in each phase of the heartbeat, the method accurately resolves the evolution of the intra- and extra-cellular potentials, gating variables and ion concentrations during the excitation, plateau and recovery phases.</abstract>
    <identifier type="serial">05-30</identifier>
    <identifier type="opus3-id">864</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-8649</identifier>
    <enrichment key="SourceTitle">Appeared in: SIAM Journal on Scientific Computing vol. 28, issue 3, 2006, pp. 942-962</enrichment>
    <author>Piero Colli Franzone</author>
    <author>Peter Deuflhard</author>
    <author>Bodo Erdmann</author>
    <author>Jens Lang</author>
    <author>Luca Franco Pavarino</author>
    <series>
      <title>ZIB-Report</title>
      <number>05-30</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>reaction-diffusion equations</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>cardiac Bidomain and Monodomain models</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>adaptive finite elements</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>adaptive time integration</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="ccs" number="G.4">MATHEMATICAL SOFTWARE</collection>
    <collection role="msc" number="65M60">Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods</collection>
    <collection role="msc" number="92B05">General biology and biomathematics</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/864/ZR-05-30.pdf</file>
    <file>https://opus4.kobv.de/opus4-zib/files/864/ZR-05-30.ps</file>
  </doc>
  <doc>
    <id>776</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2004-04-23</completedDate>
    <publishedDate>2004-04-23</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Affine conjugate adaptive Newton methods for nonlinear elastomechanics</title>
    <abstract language="eng">The paper extends affine conjugate Newton methods from convex to nonconvex minimization, with particular emphasis on PDE problems originating from compressible hyperelasticity. Based on well-known schemes from finite dimensional nonlinear optimization, three different algorithmic variants are worked out in a function space setting, which permits an adaptive multilevel finite element implementation. These algorithms are tested on two well-known 3D test problems and a real-life example from surgical operation planning.</abstract>
    <identifier type="serial">04-01</identifier>
    <identifier type="opus3-id">777</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-7768</identifier>
    <enrichment key="SourceTitle">Appeared in: Opt. Meth. Softw. 22(3): 413-431 (2007)</enrichment>
    <author>Martin Weiser</author>
    <author>Peter Deuflhard</author>
    <author>Bodo Erdmann</author>
    <series>
      <title>ZIB-Report</title>
      <number>04-01</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>affine conjugate Newton methods</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>nonconvex minimization</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>nonlinear elastomechnics</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>cranio-maxillofacial surgery</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>soft tissue simulation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>multilev</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="49M15">Newton-type methods</collection>
    <collection role="msc" number="65K10">Optimization and variational techniques [See also 49Mxx, 93B40]</collection>
    <collection role="msc" number="65N30">Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods</collection>
    <collection role="msc" number="74B20">Nonlinear elasticity</collection>
    <collection role="msc" number="74G65">Energy minimization</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
    <collection role="persons" number="weiser">Weiser, Martin</collection>
    <collection role="projects" number="FacialSurgery">FacialSurgery</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/776/ZR-04-01.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/776/ZR-04-01.pdf</file>
  </doc>
  <doc>
    <id>2202</id>
    <completedYear>2008</completedYear>
    <publishedYear>2008</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>108</pageFirst>
    <pageLast>122</pageLast>
    <pageNumber/>
    <edition/>
    <issue>1</issue>
    <volume>36</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Micromechanics-based conversion of CT data into anisotropic elasticity tensors, applied to FE simulations of a mandible</title>
    <parentTitle language="eng">Annals of Biomedical Engineering</parentTitle>
    <identifier type="doi">10.1007/s10439-007-9393-8</identifier>
    <author>Christian Hellmich</author>
    <author>Cornelia Kober</author>
    <author>Bodo Erdmann</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
  </doc>
  <doc>
    <id>2131</id>
    <completedYear>2002</completedYear>
    <publishedYear>2002</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>conferenceobject</type>
    <publisherName/>
    <publisherPlace>Ulm, Germany</publisherPlace>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Efficient and Reliable Finite Element Methods for Simulation of the Human Mandible</title>
    <parentTitle language="eng">proceedings of 9th Workshop on The Finite Element Method in Biomedical Engineering, Biomechanics and Related Fields</parentTitle>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-6403</enrichment>
    <author>Bodo Erdmann</author>
    <author>C. Kober</author>
    <author>Jens Lang</author>
    <author>Peter Deuflhard</author>
    <author>J. Zeilhofer</author>
    <author>Robert Sader</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
  </doc>
  <doc>
    <id>2118</id>
    <completedYear>2007</completedYear>
    <publishedYear>2007</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>33</pageFirst>
    <pageLast>39</pageLast>
    <pageNumber/>
    <edition/>
    <issue>1</issue>
    <volume>29</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Entwicklung einer Toolbox zur zwei- und dreidimensionalen instationären thermischen Bauteilsimulation mit KARDOS</title>
    <parentTitle language="eng">Bauphsik</parentTitle>
    <author>Bodo Erdmann</author>
    <author>M. Ljubijankic</author>
    <author>C. Nytsch-Geusen</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
  </doc>
  <doc>
    <id>2120</id>
    <completedYear>1997</completedYear>
    <publishedYear>1997</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>103</pageFirst>
    <pageLast>110</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>conferenceobject</type>
    <publisherName/>
    <publisherPlace>Cesme, Turkey</publisherPlace>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Adaptive Solutions of Nonlinear Parabolic Equations with Application to Hyperthermia Treatments</title>
    <parentTitle language="eng">CHT’97</parentTitle>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-3130</enrichment>
    <author>Bodo Erdmann</author>
    <editor>G. de Vahl Davis</editor>
    <author>Jens Lang</author>
    <editor>E. Leonardi</editor>
    <author>Martin Seebass</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
  </doc>
  <doc>
    <id>2121</id>
    <completedYear>1998</completedYear>
    <publishedYear>1998</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>36</pageFirst>
    <pageLast>46</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>858</volume>
    <type>conferenceobject</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Optimization of Temperature Distributions for Regional Hyperthermia based on a Nonlinear Heat Transfer Model</title>
    <parentTitle language="eng">Biotransport</parentTitle>
    <enrichment key="Series">Annals of the New York Academy of Sciences</enrichment>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-3283</enrichment>
    <author>Bodo Erdmann</author>
    <editor>K. Diller</editor>
    <author>Jens Lang</author>
    <author>Martin Seebass</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
  </doc>
  <doc>
    <id>2122</id>
    <completedYear>1999</completedYear>
    <publishedYear>1999</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>1129</pageFirst>
    <pageLast>1138</pageLast>
    <pageNumber/>
    <edition/>
    <issue>9</issue>
    <volume>49</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">The Impact of a Nonlinear Heat Transfer Model for Temperature Control in Regional Hyperthermia</title>
    <parentTitle language="eng">IEEE Transactions on Biomedical Engineering</parentTitle>
    <author>Bodo Erdmann</author>
    <author>Jens Lang</author>
    <author>Martin Seebass</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
  </doc>
  <doc>
    <id>2267</id>
    <completedYear>2003</completedYear>
    <publishedYear>2003</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>49</pageFirst>
    <pageLast>57</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>1</volume>
    <type>bookpart</type>
    <publisherName>Universität Jena</publisherName>
    <publisherPlace>Germany</publisherPlace>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Effiziente und zuverlässige Finite-Elemente-Methoden zur Simulation des menschlichen Unterkiefers</title>
    <parentTitle language="eng">Berichte des IZWR - Interdisziplinäres Zentrum für Wissenschaftliches Rechnen</parentTitle>
    <author>Jens Lang</author>
    <editor>Walter Alt</editor>
    <author>Bodo Erdmann</author>
    <editor>Martin Hermann</editor>
    <author>Cornelia Kober</author>
    <author>Peter Deuflhard</author>
    <author>Robert Sader</author>
    <author>Hans-Florian Zeilhofer</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
  </doc>
</export-example>
