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  <doc>
    <id>2609</id>
    <completedYear>2006</completedYear>
    <publishedYear>2006</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>doctoralthesis</type>
    <publisherName/>
    <publisherPlace>Fachbereich Mathematik</publisherPlace>
    <creatingCorporation/>
    <contributingCorporation>FU Berlin</contributingCorporation>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">The Control Reduced Interior Point Method. A Function Space Oriented Algorithmic Approach</title>
    <author>Anton Schiela</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
  </doc>
  <doc>
    <id>2611</id>
    <completedYear>2009</completedYear>
    <publishedYear>2009</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>70</volume>
    <type>conferenceobject</type>
    <publisherName/>
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    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">An Extended Mathematical Framework for Barrier Methods in Function Space</title>
    <parentTitle language="eng">Domain Decomposition Methods in Science and Engineering XVIII</parentTitle>
    <enrichment key="Series">Lecture Notes in Computational Science and Engineering</enrichment>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-10593</enrichment>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Anton Schiela</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
  </doc>
  <doc>
    <id>2613</id>
    <completedYear>2009</completedYear>
    <publishedYear>2009</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>1002</pageFirst>
    <pageLast>1031</pageLast>
    <pageNumber>30</pageNumber>
    <edition/>
    <issue>2</issue>
    <volume>20</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Barrier Methods for Optimal Control Problems with State Constraints</title>
    <parentTitle language="eng">SIAM J. on Optimization</parentTitle>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-9504</enrichment>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Anton Schiela</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
  </doc>
  <doc>
    <id>2614</id>
    <completedYear>2009</completedYear>
    <publishedYear>2009</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>2407</pageFirst>
    <pageLast>2432</pageLast>
    <pageNumber/>
    <edition/>
    <issue>4</issue>
    <volume>48</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">State constrained optimal control problems with states of low regularity</title>
    <parentTitle language="eng">SIAM J. on Control and Optimization</parentTitle>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-509</enrichment>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Anton Schiela</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
  </doc>
  <doc>
    <id>7703</id>
    <completedYear/>
    <publishedYear>2021</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>444</pageFirst>
    <pageLast>458</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>81</volume>
    <type>article</type>
    <publisherName/>
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    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2020-03-07</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Kaskade 7 - a Flexible Finite Element Toolbox</title>
    <abstract language="eng">Kaskade 7 is a finite element toolbox for the solution of stationary or transient systems of partial differential equations, aimed at supporting application-oriented research in numerical analysis and scientific computing. The library is written in C++ and is based on the \textsc{Dune} interface. The code is independent of spatial dimension and works with different grid managers. An important feature is the mix-and-match approach to discretizing systems of PDEs with different ansatz and test spaces for all variables. &#13;
&#13;
We describe the mathematical concepts behind the library as well as its structure, illustrating its use at several examples on the way.</abstract>
    <parentTitle language="eng">Computers and Mathematics with Applications</parentTitle>
    <identifier type="doi">10.1016/j.camwa.2020.02.011</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="AcceptedDate">2020-02-11</enrichment>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-74616</enrichment>
    <submitter>Martin Weiser</submitter>
    <author>Sebastian Götschel</author>
    <author>Anton Schiela</author>
    <author>Martin Weiser</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="persons" number="weiser">Weiser, Martin</collection>
    <collection role="projects" number="DFG-RTThermo">DFG-RTThermo</collection>
    <collection role="projects" number="ECMath-CH9">ECMath-CH9</collection>
    <collection role="projects" number="ZIB-Kaskade7">ZIB-Kaskade7</collection>
    <collection role="projects" number="HighPerMeshes">HighPerMeshes</collection>
    <collection role="projects" number="ECMath-CH20">ECMath-CH20</collection>
    <collection role="institutes" number="MfLMS">Mathematics for Life and Materials Science</collection>
    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
  </doc>
  <doc>
    <id>5070</id>
    <completedYear/>
    <publishedYear>2014</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>7</pageFirst>
    <pageLast>25</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>1</volume>
    <type>incollection</type>
    <publisherName>European Mathematical Society</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Mathematics cures virtual patients</title>
    <parentTitle language="eng">MATHEON-Mathematics for Key Technologies</parentTitle>
    <enrichment key="Series">Series in Industrial and Applied Mathematics</enrichment>
    <enrichment key="PeerReviewed">no</enrichment>
    <author>Peter Deuflhard</author>
    <submitter>Martin Weiser</submitter>
    <editor>Peter Deuflhard</editor>
    <author>Ralf Kornhuber</author>
    <editor>Martin Grötschel</editor>
    <editor>Dietmar Hömberg</editor>
    <author>Oliver Sander</author>
    <author>Anton Schiela</author>
    <editor>Ulrich Horst</editor>
    <author>Martin Weiser</author>
    <editor>Jürg Kramer</editor>
    <editor>Volker Mehrmann</editor>
    <editor>Konrad Polthier</editor>
    <editor>Frank Schmidt</editor>
    <editor>Christof Schütte</editor>
    <editor>Martin Skutella</editor>
    <editor>Jürgen Sprekels</editor>
    <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="MATHEON-A17">MATHEON-A17</collection>
    <collection role="projects" number="ZIB-Kaskade7">ZIB-Kaskade7</collection>
  </doc>
  <doc>
    <id>4662</id>
    <completedYear/>
    <publishedYear>2012</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>307</pageFirst>
    <pageLast>378</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>21</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Mathematical Cancer Therapy Planning in Deep Regional Hyperthermia</title>
    <abstract language="eng">This paper surveys the required mathematics for a typical challenging problem from computational medicine, the cancer therapy planning in deep regional hyperthermia. In the course of many years of close cooperation with clinics, the medical problem gave rise to quite a number of subtle mathematical problems, part of which had been unsolved when the common project started. Efficiency of numerical algorithms, i.e. computational speed and monitored reliability, play a decisive role for the medical treatment. Off-the-shelf software had turned out to be not sufficient to meet the requirements of medicine. Rather, new mathematical theory as well as new numerical algorithms had to be developed. In order to make our algorithms useful in the clinical environment, new visualization software, a virtual lab, including 3D geometry processing of individual virtual patients had to be designed and implemented. Moreover, before the problems could be attacked by numerical algorithms, careful mathematical modelling had to be done. Finally, parameter identification and constrained optimization for the PDEs had to be newly analyzed and realized over the individual patient's geometry. Our new techniques had an impact on the specificity of the individual patients' treatment and on the construction of an improved hyperthermia applicator.</abstract>
    <parentTitle language="eng">Acta Numerica</parentTitle>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-14204</enrichment>
    <author>Peter Deuflhard</author>
    <submitter>Martin Weiser</submitter>
    <author>Anton Schiela</author>
    <author>Martin Weiser</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>
    <collection role="persons" number="weiser">Weiser, Martin</collection>
    <collection role="projects" number="MATHEON-A17">MATHEON-A17</collection>
    <collection role="projects" number="ZIB-Kaskade7">ZIB-Kaskade7</collection>
  </doc>
  <doc>
    <id>4665</id>
    <completedYear/>
    <publishedYear>2012</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>101</pageFirst>
    <pageLast>112</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>incollection</type>
    <publisherName>Springer</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Solving Optimal Control Problems with the Kaskade 7 Finite Element Toolbox</title>
    <abstract language="eng">This paper presents concepts and implementation of the finite element toolbox Kaskade 7, a flexible C++ code for solving elliptic and parabolic PDE systems. Issues such as problem formulation, assembly and adaptivity are discussed at the example of optimal control problems. Trajectory compression for parabolic optimization problems is considered as a case study.</abstract>
    <parentTitle language="eng">Advances in DUNE</parentTitle>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-11909</enrichment>
    <enrichment key="SourceTitle">Appeared as ZIB-Report</enrichment>
    <author>Sebastian Götschel</author>
    <editor>A. Dedner</editor>
    <submitter>Sebastian Götschel</submitter>
    <author>Martin Weiser</author>
    <editor>B. Flemisch</editor>
    <author>Anton Schiela</author>
    <editor>R. Klöfkorn</editor>
    <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="MATHEON-F9">MATHEON-F9</collection>
    <collection role="projects" number="ZIB-Kaskade7">ZIB-Kaskade7</collection>
  </doc>
  <doc>
    <id>4646</id>
    <completedYear/>
    <publishedYear>2014</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>1403</pageFirst>
    <pageLast>1422</pageLast>
    <pageNumber>20</pageNumber>
    <edition/>
    <issue>3</issue>
    <volume>52</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">An optimal control problem in polyconvex hyperelasticity</title>
    <abstract language="eng">We consider a shape implant design problem that arises in the context of facial surgery. &#13;
 We introduce a reformulation as an optimal control problem, where the control acts&#13;
 as a boundary force. The state is modelled as a minimizer of a polyconvex&#13;
 hyperelastic energy functional. We show existence of optimal solutions and&#13;
 derive - on a formal level - first order optimality conditions. Finally, preliminary numerical results &#13;
 are presented.</abstract>
    <parentTitle language="eng">SIAM J. Control Opt.</parentTitle>
    <identifier type="doi">10.1137/120876629</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-14745</enrichment>
    <author>Lars Lubkoll</author>
    <submitter>Lars Lubkoll</submitter>
    <author>Anton Schiela</author>
    <author>Martin Weiser</author>
    <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="FacialSurgery">FacialSurgery</collection>
    <collection role="projects" number="MATHEON-A17">MATHEON-A17</collection>
    <collection role="projects" number="ZIB-Kaskade7">ZIB-Kaskade7</collection>
  </doc>
  <doc>
    <id>4678</id>
    <completedYear/>
    <publishedYear>2010</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>419</pageFirst>
    <pageLast>428</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>incollection</type>
    <publisherName>Springer</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Barrier methods for a control problem from hyperthermia treatment planning</title>
    <abstract language="eng">We consider an optimal control problem from hyperthermia treatment planning and its barrier regularization. We derive basic results, which lay the groundwork for the computation of optimal solutions via an interior point path-following method. Further, we report on a numerical implementation of such a method and its performance at an example problem.</abstract>
    <parentTitle language="eng">Recent Advances in Optimization and its Applications in Engineering (Proceedings of 14th Belgian-French-German Conference on Optimization 2009)</parentTitle>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-11567</enrichment>
    <author>Anton Schiela</author>
    <editor>M. Diehl</editor>
    <submitter>Martin Weiser</submitter>
    <author>Martin Weiser</author>
    <editor>F. Glineur</editor>
    <editor>E. Jarlebring</editor>
    <editor>W. Michiels</editor>
    <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="MATHEON-A17">MATHEON-A17</collection>
    <collection role="projects" number="ZIB-Kaskade7">ZIB-Kaskade7</collection>
  </doc>
</export-example>
