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    <id>114</id>
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    <language>eng</language>
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    <completedDate>1993-08-26</completedDate>
    <publishedDate>1993-08-26</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Monotone Multigrid Methods for Elliptic Variational Inequalities I.</title>
    <abstract language="eng">Extending well--known linear concepts of successive subspace correction, we arrive at extended relaxation methods for elliptic variational inequalities. Extended underrelaxations are called monotone multigrid methods, if they are quasioptimal in a certain sense. By construction, all monotone multigrid methods are globally convergent. We take a closer look at two natural variants, which are called symmetric and unsymmetric multigrid methods, respectively. While the asymptotic convergence rates of the symmetric method suffer from insufficient coarse--grid transport, it turns out in our numerical experiments that reasonable application of the unsymmetric multigrid method may lead to the same efficiency as in the linear, unconstrained case.</abstract>
    <identifier type="serial">SC-93-18</identifier>
    <identifier type="opus3-id">113</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-1147</identifier>
    <enrichment key="SourceTitle">Appeared in: Num. Math. 69 (1994) pp. 167-184</enrichment>
    <author>Ralf Kornhuber</author>
    <series>
      <title>ZIB-Report</title>
      <number>SC-93-18</number>
    </series>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/114/SC-93-18.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/114/SC-93-18.pdf</file>
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