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  <doc>
    <id>1474</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2012-02-24</completedDate>
    <publishedDate>2012-02-24</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>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="serial">12-08</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-14745</identifier>
    <submitter>Lars Lubkoll</submitter>
    <author>Lars Lubkoll</author>
    <author>Anton Schiela</author>
    <author>Martin Weiser</author>
    <series>
      <title>ZIB-Report</title>
      <number>12-08</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>polyconvex elasticity</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>implant design</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>optimal control</value>
    </subject>
    <collection role="msc" number="49J20">Optimal control problems involving partial differential equations</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="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>
    <file>https://opus4.kobv.de/opus4-zib/files/1474/ZR-12-08.pdf</file>
  </doc>
  <doc>
    <id>1312</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2011-06-16</completedDate>
    <publishedDate>2011-06-16</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Convergence Analysis of Smoothing Methods for Optimal Control of Stationary Variational Inequalities</title>
    <abstract language="eng">In the article an optimal control problem subject to a stationary variational inequality&#13;
is investigated. The optimal control problem is complemented with pointwise control constraints.&#13;
The convergence of a smoothing scheme is analyzed. There, the variational inequality&#13;
is replaced by a semilinear elliptic equation. It is shown that solutions of the regularized optimal&#13;
control problem converge to solutions of the original one. Passing to the limit in the&#13;
optimality system of the regularized problem allows to prove C-stationarity of local solutions of the original problem.&#13;
Moreover, convergence rates with respect to the regularization parameter for the error in the control are obtained.&#13;
These rates coincide with rates obtained by numerical experiments, which are included in the paper.</abstract>
    <identifier type="serial">11-23</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-13125</identifier>
    <author>Anton Schiela</author>
    <submitter>Anton Schiela</submitter>
    <author>Daniel Wachsmuth</author>
    <series>
      <title>ZIB-Report</title>
      <number>11-23</number>
    </series>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Variational inequalities</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>optimal control</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>control constraints</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>path-following</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>C-stationarity</value>
    </subject>
    <collection role="msc" number="49-XX">CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX]</collection>
    <collection role="msc" number="65-XX">NUMERICAL ANALYSIS</collection>
    <collection role="msc" number="90-XX">OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1312/ZR-11-23.pdf</file>
  </doc>
  <doc>
    <id>1193</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2010-12-22</completedDate>
    <publishedDate>2010-12-22</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Uniqueness criteria for solutions of the adjoint equation in state-constrained optimal control</title>
    <abstract language="eng">The paper considers linear elliptic equations with regular Borel measures as inhomogeneity. Such equations frequently appear in state-constrained optimal control&#13;
problems. By a counter-example of Serrin, it is known that, in the presence of&#13;
non-smooth data, a standard weak formulation does not ensure uniqueness for such&#13;
equations. Therefore several notions of solution have been developed that guarantee&#13;
uniqueness. In this note, we compare different definitions of solutions, namely the ones&#13;
of Stampacchia and the two notions of solutions of Casas and Alibert-Raymond, and show that they are the same. As side results, we reformulate the solution&#13;
in the sense of Stampacchia, and prove the existence and uniqueness of solutions in&#13;
in case of mixed boundary conditions.</abstract>
    <identifier type="serial">10-28</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-11933</identifier>
    <author>Christian Meyer</author>
    <submitter>-empty- (Opus4 user: admin)</submitter>
    <author>Lucia Panizzi</author>
    <submitter>Anton Schiela</submitter>
    <author>Anton Schiela</author>
    <series>
      <title>ZIB-Report</title>
      <number>10-28</number>
    </series>
    <subject>
      <language/>
      <type>uncontrolled</type>
      <value>optimal control</value>
    </subject>
    <subject>
      <language/>
      <type>uncontrolled</type>
      <value>elliptic partial differential equations</value>
    </subject>
    <subject>
      <language/>
      <type>uncontrolled</type>
      <value>state constraints</value>
    </subject>
    <subject>
      <language/>
      <type>uncontrolled</type>
      <value>measure right hand sides</value>
    </subject>
    <collection role="msc" number="35D99">None of the above, but in this section</collection>
    <collection role="msc" number="46N10">Applications in optimization, convex analysis, mathematical programming, economics</collection>
    <collection role="msc" number="49K20">Problems involving partial differential equations</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1193/ZR-10-28.pdf</file>
  </doc>
  <doc>
    <id>1190</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2010-12-14</completedDate>
    <publishedDate>2010-12-14</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>
    <identifier type="serial">10-25</identifier>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="opus3-id">1253</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-11909</identifier>
    <enrichment key="SourceTitle">Appeared in:  A. Dedner  et al. (eds.) Advances in DUNE. Springer, 2012. 101-112</enrichment>
    <author>Sebastian Götschel</author>
    <submitter>unknown unknown</submitter>
    <author>Martin Weiser</author>
    <author>Anton Schiela</author>
    <series>
      <title>ZIB-Report</title>
      <number>10-25</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>partial differential equations</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>optimal control</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>finite elements</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>generic programming</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>adaptive methods</value>
    </subject>
    <collection role="ddc" number="510">Mathematik</collection>
    <collection role="msc" number="65K10">Optimization and variational techniques [See also 49Mxx, 93B40]</collection>
    <collection role="msc" number="65M60">Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods</collection>
    <collection role="msc" number="65N30">Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods</collection>
    <collection role="msc" number="65Y99">None of the above, but in this section</collection>
    <collection role="msc" number="68U20">Simulation [See also 65Cxx]</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="MATHEON-F9">MATHEON-F9</collection>
    <collection role="projects" number="ZIB-Kaskade7">ZIB-Kaskade7</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1190/ZR_10_25.pdf</file>
  </doc>
  <doc>
    <id>1156</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2009-11-18</completedDate>
    <publishedDate>2009-11-18</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>
    <identifier type="serial">09-36</identifier>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="opus3-id">1215</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-11567</identifier>
    <author>Anton Schiela</author>
    <submitter>unknown unknown</submitter>
    <author>Martin Weiser</author>
    <series>
      <title>ZIB-Report</title>
      <number>09-36</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>hyperthermia treatment planning</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>optimal control</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>barrier methods</value>
    </subject>
    <collection role="ddc" number="510">Mathematik</collection>
    <collection role="msc" number="49J20">Optimal control problems involving partial differential equations</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="MATHEON-A17">MATHEON-A17</collection>
    <collection role="projects" number="ZIB-Kaskade7">ZIB-Kaskade7</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1156/ZR_09_36.pdf</file>
  </doc>
  <doc>
    <id>50</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2008-06-17</completedDate>
    <publishedDate>2008-06-17</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">State constrained optimal control problems with states of low regularity</title>
    <abstract language="eng">We consider first order optimality conditions for state constrained optimal control problems. In particular we study the case where the state equation has not enough regularity to admit existence of a Slater point in function space. We overcome this difficulty by a special transformation. Under a density condition we show existence of Lagrange multipliers, which have a representation via measures and additional regularity properties.</abstract>
    <identifier type="serial">08-24</identifier>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="opus3-id">1108</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-509</identifier>
    <enrichment key="SourceTitle">Appeared in: SIAM J. on Control and Optimization 48(4): 2407-2432 (2009)</enrichment>
    <author>Anton Schiela</author>
    <submitter>unknown unknown</submitter>
    <series>
      <title>ZIB-Report</title>
      <number>08-24</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>optimal control</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>state constraints</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>optimality conditions</value>
    </subject>
    <collection role="ddc" number="510">Mathematik</collection>
    <collection role="msc" number="49K20">Problems involving partial differential equations</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/50/ZR_08_24.pdf</file>
  </doc>
  <doc>
    <id>1047</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2007-12-13</completedDate>
    <publishedDate>2007-12-13</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">An Interior Point Method in Function Space for the Efficient Solution of State Constrained Optimal Control Problems</title>
    <abstract language="eng">We propose and analyse an interior point path-following method in function space for state constrained optimal control. Our emphasis is on proving convergence in function space and on constructing a practical path-following algorithm. In particular, the introduction of a pointwise damping step leads to a very efficient method, as verified by numerical experiments.</abstract>
    <identifier type="serial">07-44</identifier>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="opus3-id">1076</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-10471</identifier>
    <author>Anton Schiela</author>
    <submitter>unknown unknown</submitter>
    <series>
      <title>ZIB-Report</title>
      <number>07-44</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>interior point methods in function space</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>optimal control</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>state constraints</value>
    </subject>
    <collection role="ddc" number="510">Mathematik</collection>
    <collection role="msc" number="49M05">Methods based on necessary conditions</collection>
    <collection role="msc" number="90C51">Interior-point methods</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1047/ZR_07_44.pdf</file>
  </doc>
  <doc>
    <id>1034</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2007-11-15</completedDate>
    <publishedDate>2007-11-15</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Optimality Conditions for Convex State Constrained Optimal Control Problems with Discontinuous States</title>
    <abstract language="eng">We discuss first order optimality conditions for state constrained optimal control problems. Our concern is the treatment of problems, where the solution of the state equation is not known to be continuous, as in the case of boundary control in three space dimensions or optimal control with parabolic partial differential equations. We show existence of measure valued Lagrangian multipliers, which have just enough additional regularity to be applicable to all possibly discontinuous solutions of the state equation.</abstract>
    <identifier type="serial">07-35</identifier>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="opus3-id">1063</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-10342</identifier>
    <author>Anton Schiela</author>
    <submitter>unknown unknown</submitter>
    <series>
      <title>ZIB-Report</title>
      <number>07-35</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>optimal control</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>state constraints</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>optimality conditions</value>
    </subject>
    <collection role="ddc" number="510">Mathematik</collection>
    <collection role="msc" number="49K20">Problems involving partial differential equations</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1034/fopaper.pdf</file>
  </doc>
  <doc>
    <id>950</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2007-03-09</completedDate>
    <publishedDate>2007-03-09</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Barrier Methods for Optimal Control Problems with State Constraints</title>
    <abstract language="eng">We study barrier methods for state constrained optimal control problems with PDEs. In the focus of our analysis is the path of minimizers of the barrier subproblems with the aim to provide a solid theoretical basis for function space oriented path-following algorithms. We establish results on existence, continuity and convergence of this path. Moreover, we consider the structure of barrier subdifferentials, which play the role of dual variables.</abstract>
    <identifier type="serial">07-07</identifier>
    <identifier type="opus3-id">950</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-9504</identifier>
    <enrichment key="SourceTitle">Appeared in: SIAM J. on Optimization 20(2): 1002-1031 (2009)</enrichment>
    <author>Anton Schiela</author>
    <series>
      <title>ZIB-Report</title>
      <number>07-07</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>interior point methods in function space</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>optimal control</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>state constraints</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="49M05">Methods based on necessary conditions</collection>
    <collection role="msc" number="90C51">Interior-point methods</collection>
    <collection role="institutes" number="compmed">Computational Medicine</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/950/ZR-07-07.pdf</file>
    <file>https://opus4.kobv.de/opus4-zib/files/950/ZR-07-07.ps</file>
  </doc>
  <doc>
    <id>935</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2006-08-01</completedDate>
    <publishedDate>2006-08-01</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">A continuity result for Nemyckii Operators and some applications in PDE constrained optimal control</title>
    <abstract language="eng">This work explores two applications of a classical result on the continuity of Nemyckii operators to optimal control with PDEs. First, we present an alternative approach to the analysis of Newton's method for function space problems involving semi-smooth Nemyckii operators. A concise proof for superlinear convergence is presented, and sharpened bounds on the rate of convergence are derived. Second, we derive second order sufficient conditions for problems, where the underlying PDE has poor regularity properties. We point out that the analytical structure in both topics is essentially the same.</abstract>
    <identifier type="serial">06-41</identifier>
    <identifier type="opus3-id">935</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-9354</identifier>
    <enrichment key="SourceTitle">A revised version appeared under the title: A Simplified Approach to Semismooth Newton Methods in Function Space in: SIAM J. Optimization, 19(3): 1417-1432, 2008</enrichment>
    <author>Anton Schiela</author>
    <series>
      <title>ZIB-Report</title>
      <number>06-41</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>continuity of Nemyckii Operators</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Newton methods in function space</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>optimal control</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>second order sufficient conditions</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="46N40">Applications in numerical analysis [See also 65Jxx]</collection>
    <collection role="msc" number="49K20">Problems involving partial differential equations</collection>
    <collection role="msc" number="49M15">Newton-type methods</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/935/ZR-06-41.pdf</file>
    <file>https://opus4.kobv.de/opus4-zib/files/935/ZR-06-41.ps</file>
  </doc>
</export-example>
