<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-00951587</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-24T12:50:15+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">On-the-fly Singular Value Decomposition for Aitken's Acceleration of the Schwarz Domain Decomposition Method,</title>
            <author role="aut">
              <persName>
                <forename type="first">Laurent</forename>
                <surname>Berenguer</surname>
              </persName>
              <email type="md5">844e4d78c13f1391d3fec46c456af24d</email>
              <email type="domain">univ-lyon1.fr</email>
              <idno type="idhal" notation="numeric">945621</idno>
              <idno type="halauthorid" notation="string">734563-945621</idno>
              <affiliation ref="#struct-193738"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Thomas</forename>
                <surname>Dufaud</surname>
              </persName>
              <email type="md5">abdbe683a04d343ec1adc16328029e71</email>
              <email type="domain">uvsq.fr</email>
              <idno type="idhal" notation="string">thomas-dufaud</idno>
              <idno type="idhal" notation="numeric">2972</idno>
              <idno type="halauthorid" notation="string">17668-2972</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-8387-056X</idno>
              <idno type="IDREF">https://www.idref.fr/241292972</idno>
              <affiliation ref="#struct-193738"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Duc Toan</forename>
                <surname>Pham</surname>
              </persName>
              <email type="md5">a713a05478783550dade2bac426e32b7</email>
              <email type="domain">cstb.fr</email>
              <idno type="idhal" notation="numeric">768782</idno>
              <idno type="halauthorid" notation="string">719092-768782</idno>
              <idno type="IDREF">https://www.idref.fr/170296679</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-0130-9152</idno>
              <idno type="VIAF">https://viaf.org/viaf/304160716</idno>
              <affiliation ref="#struct-193738"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Damien</forename>
                <surname>Tromeur-Dervout</surname>
              </persName>
              <email type="md5">5b050687efce0de7a62bda7d5cf034be</email>
              <email type="domain">univ-lyon1.fr</email>
              <idno type="idhal" notation="string">damien-tromeur-dervout</idno>
              <idno type="idhal" notation="numeric">170428</idno>
              <idno type="halauthorid" notation="string">19122-170428</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-0118-8100</idno>
              <idno type="IDREF">https://www.idref.fr/111729076</idno>
              <affiliation ref="#struct-193738"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Damien</forename>
                <surname>Tromeur-Dervout</surname>
              </persName>
              <email type="md5">5b050687efce0de7a62bda7d5cf034be</email>
              <email type="domain">univ-lyon1.fr</email>
            </editor>
            <funder ref="#projanr-28561"/>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2014-02-25 09:52:28</date>
              <date type="whenWritten">2011-06</date>
              <date type="whenModified">2026-04-23 14:50:04</date>
              <date type="whenReleased">2014-02-25 09:52:28</date>
              <date type="whenProduced">2011-09</date>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="186600">
                <persName>
                  <forename>Damien</forename>
                  <surname>Tromeur-Dervout</surname>
                </persName>
                <email type="md5">5b050687efce0de7a62bda7d5cf034be</email>
                <email type="domain">univ-lyon1.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00951587</idno>
            <idno type="halUri">https://hal.science/hal-00951587</idno>
            <idno type="halBibtex">berenguer:hal-00951587</idno>
            <idno type="halRefHtml">&lt;i&gt;PARCO11&lt;/i&gt;, Sep 2011, Ghent, Belgium. pp.243 - 250</idno>
            <idno type="halRef">PARCO11, Sep 2011, Ghent, Belgium. pp.243 - 250</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="UNIV-ST-ETIENNE">Université Jean Monnet - Saint-Etienne</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="ICJ" corresp="UNIV-LYON1">Institut Camille Jordan</idno>
            <idno type="stamp" n="UNIV-LYON1">Université Claude Bernard - Lyon I</idno>
            <idno type="stamp" n="INSA-LYON">Institut National des Sciences Appliquées de Lyon</idno>
            <idno type="stamp" n="EC-LYON">Ecole Centrale de Lyon</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="TDS-MACS">Réseau de recherche en Théorie des Systèmes Distribués, Modélisation, Analyse et Contrôle des Systèmes</idno>
            <idno type="stamp" n="INSA-GROUPE">Groupe INSA</idno>
            <idno type="stamp" n="UDL">UDL</idno>
            <idno type="stamp" n="UNIV-LYON">Université de Lyon</idno>
            <idno type="stamp" n="ANR">ANR</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="invited" n="0">No</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
            <note type="proceedings" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">On-the-fly Singular Value Decomposition for Aitken's Acceleration of the Schwarz Domain Decomposition Method,</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Laurent</forename>
                    <surname>Berenguer</surname>
                  </persName>
                  <email type="md5">844e4d78c13f1391d3fec46c456af24d</email>
                  <email type="domain">univ-lyon1.fr</email>
                  <idno type="idhal" notation="numeric">945621</idno>
                  <idno type="halauthorid" notation="string">734563-945621</idno>
                  <affiliation ref="#struct-193738"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Thomas</forename>
                    <surname>Dufaud</surname>
                  </persName>
                  <email type="md5">abdbe683a04d343ec1adc16328029e71</email>
                  <email type="domain">uvsq.fr</email>
                  <idno type="idhal" notation="string">thomas-dufaud</idno>
                  <idno type="idhal" notation="numeric">2972</idno>
                  <idno type="halauthorid" notation="string">17668-2972</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-8387-056X</idno>
                  <idno type="IDREF">https://www.idref.fr/241292972</idno>
                  <affiliation ref="#struct-193738"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Duc Toan</forename>
                    <surname>Pham</surname>
                  </persName>
                  <email type="md5">a713a05478783550dade2bac426e32b7</email>
                  <email type="domain">cstb.fr</email>
                  <idno type="idhal" notation="numeric">768782</idno>
                  <idno type="halauthorid" notation="string">719092-768782</idno>
                  <idno type="IDREF">https://www.idref.fr/170296679</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-0130-9152</idno>
                  <idno type="VIAF">https://viaf.org/viaf/304160716</idno>
                  <affiliation ref="#struct-193738"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Damien</forename>
                    <surname>Tromeur-Dervout</surname>
                  </persName>
                  <email type="md5">5b050687efce0de7a62bda7d5cf034be</email>
                  <email type="domain">univ-lyon1.fr</email>
                  <idno type="idhal" notation="string">damien-tromeur-dervout</idno>
                  <idno type="idhal" notation="numeric">170428</idno>
                  <idno type="halauthorid" notation="string">19122-170428</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-0118-8100</idno>
                  <idno type="IDREF">https://www.idref.fr/111729076</idno>
                  <affiliation ref="#struct-193738"/>
                </author>
              </analytic>
              <monogr>
                <title level="m">Applications, Tools and Techniques on the Road to Exascale Computing</title>
                <meeting>
                  <title>PARCO11</title>
                  <date type="start">2011-09</date>
                  <date type="end">2011-09</date>
                  <settlement>Ghent</settlement>
                  <country key="BE">Belgium</country>
                </meeting>
                <editor>Koen De Bosschere</editor>
                <editor>Erik H. D'Hollander</editor>
                <editor>Gerhard R. Joubert</editor>
                <editor>David Padua</editor>
                <editor>Frans Peters</editor>
                <editor>Mark Sawyer</editor>
                <imprint>
                  <publisher>IOS Press</publisher>
                  <biblScope unit="serie">Advances in Parallel Computing</biblScope>
                  <biblScope unit="volume">22</biblScope>
                  <biblScope unit="issue">978-1-61499-041-3-243</biblScope>
                  <biblScope unit="pp">243 - 250</biblScope>
                  <date type="datePub">2012</date>
                </imprint>
              </monogr>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="math.math-na">Mathematics [math]/Numerical Analysis [math.NA]</classCode>
              <classCode scheme="halDomain" n="info.info-dc">Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC]</classCode>
              <classCode scheme="halDomain" n="info.info-mo">Computer Science [cs]/Modeling and Simulation</classCode>
              <classCode scheme="halTypology" n="COMM">Conference papers</classCode>
              <classCode scheme="halOldTypology" n="COMM">Conference papers</classCode>
              <classCode scheme="halTreeTypology" n="COMM">Conference papers</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>This paper discusses the low-rank approximation of the Aitken's acceleration of the convergence of the Schwarz domain decomposition method. The singular value decomposition (SVD) of the solution on interfaces at successive Schwarz iterations gives a basis of a low-dimensional space. The error operator of the Schwarz process, involved in the Aitken's formula, is approximated in this space. The efficiency of the Aitken's acceleration depends on the quality of this basis to approximate the exact solution, which is related to the number of iterations involved in the SVD. We use an iterative procedure to compute the SVD simultaneously with the Schwarz process in order to perform the Aitken's acceleration when the SVD satisfies a mathematical criterion.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-193738" status="VALID">
          <idno type="IdRef">111872227</idno>
          <idno type="ISNI">0000000403832988</idno>
          <idno type="RNSR">200511878U</idno>
          <idno type="ROR">https://ror.org/01ekw7f87</idno>
          <orgName>Institut Camille Jordan</orgName>
          <orgName type="acronym">ICJ</orgName>
          <date type="start">2005-01-01</date>
          <desc>
            <address>
              <addrLine>Bât. Jean Braconnier 43 bd du 11 novembre 1918 69622 VILLEURBANNE CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://math.univ-lyon1.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-126765" type="direct"/>
            <relation active="#struct-301088" type="indirect"/>
            <relation active="#struct-194495" type="direct"/>
            <relation active="#struct-219748" type="direct"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-300284" type="direct"/>
            <relation active="#struct-1327915" type="indirect"/>
            <relation name="UMR5208" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-126765" status="VALID">
          <idno type="ROR">https://ror.org/05s6rge65</idno>
          <orgName>École Centrale de Lyon</orgName>
          <orgName type="acronym">ECL</orgName>
          <desc>
            <address>
              <addrLine>36 avenue Guy de Collongue - 69134 Ecully cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ec-lyon.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301088" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-301088" status="VALID">
          <idno type="ROR">https://ror.org/01rk35k63</idno>
          <orgName>Université de Lyon</orgName>
          <desc>
            <address>
              <addrLine>92 rue Pasteur - CS 30122, 69361 Lyon Cedex 07</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.universite-lyon.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-194495" status="VALID">
          <idno type="IdRef">026402823</idno>
          <idno type="ISNI">0000000121686185</idno>
          <idno type="ROR">https://ror.org/029brtt94</idno>
          <orgName>Université Claude Bernard Lyon 1</orgName>
          <orgName type="acronym">UCBL</orgName>
          <desc>
            <address>
              <addrLine>43, boulevard du 11 novembre 1918, 69622 Villeurbanne cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-lyon1.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301088" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-219748" status="VALID">
          <idno type="IdRef">052444724</idno>
          <idno type="ISNI">0000 0001 2292 0228</idno>
          <orgName>Institut National des Sciences Appliquées de Lyon</orgName>
          <orgName type="acronym">INSA Lyon</orgName>
          <date type="start">1957-03-18</date>
          <desc>
            <address>
              <addrLine>20 Avenue Albert Einstein, 69621 Villeurbanne cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.insa-lyon.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301088" type="direct"/>
            <relation active="#struct-301232" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-301232" status="VALID">
          <idno type="IdRef">162105150</idno>
          <orgName>Institut National des Sciences Appliquées</orgName>
          <orgName type="acronym">INSA</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-300284" status="VALID">
          <idno type="IdRef">028209966</idno>
          <idno type="ISNI">0000 0001 2158 1682</idno>
          <idno type="ROR">https://ror.org/04yznqr36</idno>
          <idno type="Wikidata">Q623154</idno>
          <orgName>Université Jean Monnet - Saint-Étienne</orgName>
          <orgName type="acronym">UJM</orgName>
          <date type="start">1969-03-27</date>
          <date type="end">2025-01-01</date>
          <desc>
            <address>
              <addrLine>10, Rue Tréfilerie – CS 8230142023 Saint-Étienne Cedex 2</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.univ-st-etienne.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-1327915" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-1327915" status="VALID">
          <idno type="IdRef">285395831</idno>
          <orgName>Université Jean Monnet (EPSCPE)</orgName>
          <orgName type="acronym">UJM EPE</orgName>
          <date type="start">2025-01-01</date>
          <desc>
            <address>
              <addrLine>10 rue Tréfilerie42100 Saint-Etienne</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.univ-st-etienne.fr/fr/index.html</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
      </listOrg>
      <listOrg type="projects">
        <org type="anrProject" xml:id="projanr-28561" status="VALID">
          <idno type="anr">ANR-07-CIS7-0004</idno>
          <idno type="program">Calcul intensif et simulation</idno>
          <orgName>MICAS</orgName>
          <desc>Modelling and Intensive Computation for Aquifer Simulations</desc>
          <date type="start">2007</date>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>