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  <doc>
    <id>2089</id>
    <completedYear>1996</completedYear>
    <publishedYear>1996</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>122</pageFirst>
    <pageLast>137</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>conferenceobject</type>
    <publisherName>Wiley &amp; Teubner</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Recent Progress in Dynamical Process Simulation</title>
    <parentTitle language="eng">Progress in Industrial Mathematics, Proc. 8th Conference of the European Consortium for Mathematics in Industry (ECMI 94)</parentTitle>
    <author>Peter Deuflhard</author>
    <editor>H. Neunzert</editor>
    <author>Jens Lang</author>
    <author>Ulrich Nowak</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="persons" number="deuflhard">Deuflhard, Peter</collection>
  </doc>
  <doc>
    <id>408</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>habilitation</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>1999-06-28</completedDate>
    <publishedDate>1999-06-28</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Adaptive Multilevel Solution of Nonlinear Parabolic PDE Systems. Theory, Algorithm, and Applications</title>
    <abstract language="eng">This monograph has been written to illustrate the interlocking of theory, algorithm, and application in developing solution techniques for complex PDE systems. A deep theoretical understanding is necessary to produce a powerful idea leading to a successful algorithm. Efficient and robust implementation is the key to make the algorithm perform satisfactorily. The extra insight obtained by solving real--life problems brings out the structure of the method more clearly and suggests often ways to improve the numerical algorithm. It is my intention to impart the beauty and complexity found in both the theoretical investigation of the adaptive algorithm proposed here, i.e., the coupling of Rosenbrock methods in time and multilevel finite elements in space, and its realization. I hope that this method will find many more interesting applications.</abstract>
    <identifier type="serial">SC-99-20</identifier>
    <identifier type="opus3-id">409</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-4089</identifier>
    <enrichment key="SourceTitle">A rev. vers. appeared as: Jens Lang: Adaptive Multilevel Solution of Nonlinear Parabolic PDE Systems : Theory, Algorithm, and Applications. Berlin: Springer 2001. Lecture Notes in Computational Science and Engineering, 16. ISBN 3-540-67900-6</enrichment>
    <author>Jens Lang</author>
    <series>
      <title>ZIB-Report</title>
      <number>SC-99-20</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Adaptive multilevel finite elements</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Rosenbrock methods</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>a posteriori error estimates</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Rothe method</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="65C20">Models, numerical methods [See also 68U20]</collection>
    <collection role="msc" number="65M60">Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="collections" number="">Habilitationen</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/408/SC-99-20.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/408/SC-99-20.pdf</file>
  </doc>
  <doc>
    <id>589</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2000-06-20</completedDate>
    <publishedDate>2000-06-20</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Adaptive Linearly Implicit Methods for Heat and Mass Transfer Problems</title>
    <abstract language="eng">Dynamical process simulation of complex real-life problems often requires the use of modern algorithms, which automatically adapt both the time and space discretization in order to get error-controlled approximations of the solution. In this paper, a combination of linearly implicit time integrators of Rosenbrock type and adaptive multilevel finite elements based on a posteriori error estimates is presented. This approach has proven to work quite satisfactorily for a wide range of challenging practical problems. We show the performance of our adaptive method for two applications that arise in the study of flame balls and brine transport in porous media.</abstract>
    <identifier type="serial">00-21</identifier>
    <identifier type="opus3-id">590</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-5892</identifier>
    <enrichment key="SourceTitle">Appeared in: A. V. Wouver; P. Saucez; W. E. Schiesser (eds.), Adaptive Method of Lines, Chapman and Hall, CRC, 2001, ISBN: 1-58488-231-X, pp. 295-316</enrichment>
    <author>Jens Lang</author>
    <author>Bodo Erdmann</author>
    <series>
      <title>ZIB-Report</title>
      <number>00-21</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Nonlinear time-dependent PDEs</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Rosenbrock methods</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>multilevel finite elements</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>local refinement</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>a posteriori error estimates</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="65M60">Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/589/ZR-00-21.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/589/ZR-00-21.pdf</file>
  </doc>
  <doc>
    <id>640</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2001-07-03</completedDate>
    <publishedDate>2001-07-03</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Efficient and Reliable Finite Element Methods for Simulation of the Human Mandible</title>
    <abstract language="eng">By computed tomography data (CT), the individual geometry of the mandible is quite well reproduced, also the separation between cortical and trabecular bone. Using anatomical knowledge about the architecture and the functional potential of the masticatory muscles, realistic situations were approximated. The solution of the underlying partial differential equations describing linear elastic material behaviour is provided by an adaptive finite element method. Estimations of the discretization error, local grid refinement, and multilevel techniques guarantee the reliability and efficiency of the method.</abstract>
    <identifier type="serial">01-14</identifier>
    <identifier type="opus3-id">641</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-6403</identifier>
    <enrichment key="SourceTitle">Appeared in: Proc. of 9th Workshop on the Finite Element Method in Biomedical Engineering, Biomechanics and Related Fields, Ulm, Germany, 2002, CD-ROM</enrichment>
    <author>Bodo Erdmann</author>
    <author>Cornelia Kober</author>
    <author>Jens Lang</author>
    <author>Robert Sader</author>
    <author>Hans-Florian Zeilhofer</author>
    <author>Peter Deuflhard</author>
    <series>
      <title>ZIB-Report</title>
      <number>01-14</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>mandible</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>sensitivity analysis</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>finite element method</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>adaptive grid refinement</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="74B10">Linear elasticity with initial stresses</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/640/ZR-01-14.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/640/ZR-01-14.pdf</file>
  </doc>
</export-example>
