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  <doc>
    <id>353</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
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    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>1998-03-12</completedDate>
    <publishedDate>1998-03-12</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Monotone Iterations for Elliptic Variational Inequalities</title>
    <abstract language="eng">A wide range of free boundary problems occurring in engineering andindustry can be rewritten as a minimization problem for astrictly convex, piecewise smooth but non--differentiable energy functional.The fast solution of related discretized problemsis a very delicate question, because usual Newton techniquescannot be applied. We propose a new approach based on convex minimization and constrained Newton type linearization. While convex minimization provides global convergence of the overall iteration, the subsequent constrained Newton type linearization is intended to accelerate the convergence speed. We present a general convergence theory and discuss several applications.</abstract>
    <identifier type="serial">SC-98-10</identifier>
    <identifier type="opus3-id">354</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-3539</identifier>
    <enrichment key="SourceTitle">Appeared in: I. Athanasopoulos, G. Makrakis, J. Rodriques (eds.) Free Boundary Problems, Theory and Applications</enrichment>
    <author>Ralf Kornhuber</author>
    <series>
      <title>ZIB-Report</title>
      <number>SC-98-10</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>finite elements</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>multigrid methods</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>variational inequalities</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="49M20">Methods of relaxation type</collection>
    <collection role="msc" number="65K10">Optimization and variational techniques [See also 49Mxx, 93B40]</collection>
    <collection role="msc" number="65N55">Multigrid methods; domain decomposition</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/353/SC-98-10.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/353/SC-98-10.pdf</file>
  </doc>
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