<?xml version="1.0" encoding="utf-8"?>
<export-example>
  <doc>
    <id>1101</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2008-12-10</completedDate>
    <publishedDate>2008-12-10</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient Constraints</title>
    <abstract language="eng">In this paper we are concerned with the application of interior point methods in function space to gradient constrained optimal control problems, governed by partial differential equations. We will derive existence of solutions together with first order optimality conditions. Afterwards we show continuity of the central path, together with convergence rates depending on the interior point parameter.</abstract>
    <identifier type="serial">08-47</identifier>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="opus3-id">1138</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-11014</identifier>
    <author>Anton Schiela</author>
    <submitter>unknown unknown</submitter>
    <author>Winnifried Wollner</author>
    <series>
      <title>ZIB-Report</title>
      <number>08-47</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>interior point method</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>necessary optimality conditions</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>convergence of the central path</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>gradient constrained optimization</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/1101/ZR_08_47.pdf</file>
  </doc>
</export-example>
