<?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-00566602</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="2026-05-17T06:50:04+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">A global strategy for solving reactive transport equations</title>
            <author role="aut">
              <persName>
                <forename type="first">Caroline</forename>
                <surname>de Dieuleveult</surname>
              </persName>
              <email type="md5">dc0a4beabbeb9cd719116de39ef413b3</email>
              <email type="domain">mines-paristech.fr</email>
              <idno type="idhal" notation="string">caroline-de-dieuleveult</idno>
              <idno type="idhal" notation="numeric">751096</idno>
              <idno type="halauthorid" notation="string">18642-751096</idno>
              <affiliation ref="#struct-43221"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Jocelyne</forename>
                <surname>Erhel</surname>
              </persName>
              <email type="md5">53ce020f298459d1c1f908c182ffd8f1</email>
              <email type="domain">inria.fr</email>
              <idno type="idhal" notation="string">jocelyne-erhel</idno>
              <idno type="idhal" notation="numeric">6567</idno>
              <idno type="halauthorid" notation="string">24222-6567</idno>
              <idno type="IDREF">https://www.idref.fr/098136518</idno>
              <orgName ref="#struct-300009"/>
              <affiliation ref="#struct-2530"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Michel</forename>
                <surname>Kern</surname>
              </persName>
              <email type="md5">56543d5c8d182da284b511c970a7e240</email>
              <email type="domain">inria.fr</email>
              <idno type="idhal" notation="string">michel-kern</idno>
              <idno type="idhal" notation="numeric">2473</idno>
              <idno type="halauthorid" notation="string">2220-2473</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-7979-5947</idno>
              <idno type="IDREF">https://www.idref.fr/032716079</idno>
              <affiliation ref="#struct-2419"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Pascale</forename>
                <surname>Nalon</surname>
              </persName>
              <email type="md5">f15638463b9311596375368c69830d93</email>
              <email type="domain">minesparis.psl.eu</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2011-02-16 16:27:15</date>
              <date type="whenModified">2026-01-23 09:12:06</date>
              <date type="whenReleased">2011-02-16 16:27:15</date>
              <date type="whenProduced">2009-09-20</date>
              <ref type="externalLink" target="https://api.istex.fr/ark:/67375/6H6-H3V0TWL7-7/fulltext.pdf?sid=hal"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="141746">
                <persName>
                  <forename>Pascale</forename>
                  <surname>Nalon</surname>
                </persName>
                <email type="md5">f15638463b9311596375368c69830d93</email>
                <email type="domain">minesparis.psl.eu</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-00566602</idno>
            <idno type="halUri">https://minesparis-psl.hal.science/hal-00566602</idno>
            <idno type="halBibtex">dedieuleveult:hal-00566602</idno>
            <idno type="halRefHtml">&lt;i&gt;Journal of Computational Physics&lt;/i&gt;, 2009, 228 (17), pp.6395-6410. &lt;a target="_blank" href="https://dx.doi.org/10.1016/j.jcp.2009.05.044"&gt;&amp;#x27E8;10.1016/j.jcp.2009.05.044&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Journal of Computational Physics, 2009, 228 (17), pp.6395-6410. &amp;#x27E8;10.1016/j.jcp.2009.05.044&amp;#x27E9;</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="ENSMP" corresp="PARISTECH">MINES ParisTech</idno>
            <idno type="stamp" n="EC-PARIS">Ecole Centrale Paris</idno>
            <idno type="stamp" n="UNIV-RENNES1">Université de Rennes 1</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INRIA">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="UNIV-UBS">Université de Bretagne Sud</idno>
            <idno type="stamp" n="INSA-RENNES">Institut National des Sciences Appliquées de Rennes</idno>
            <idno type="stamp" n="INRIA-RENNES">INRIA Rennes - Bretagne Atlantique</idno>
            <idno type="stamp" n="INRIA-ROCQ">INRIA Paris - Rocquencourt</idno>
            <idno type="stamp" n="IRISA">Irisa</idno>
            <idno type="stamp" n="ENSMP_GEOSCIENCES" corresp="ENSMP">Géosciences (GEOSCIENCES)</idno>
            <idno type="stamp" n="PARISTECH">ParisTech</idno>
            <idno type="stamp" n="IRISA_SET">IRISA_SET</idno>
            <idno type="stamp" n="INRIA_TEST">INRIA - Institut National de Recherche en Informatique et en Automatique</idno>
            <idno type="stamp" n="TESTALAIN1">TESTALAIN1</idno>
            <idno type="stamp" n="IRISA-D1">SYSTÈMES LARGE ÉCHELLE </idno>
            <idno type="stamp" n="INRIA2">INRIA 2</idno>
            <idno type="stamp" n="UR1-HAL">Publications labos UR1 dans HAL-Rennes 1</idno>
            <idno type="stamp" n="PSL">Université Paris sciences et lettres</idno>
            <idno type="stamp" n="UR1-MATH-STIC">UR1 - publications Maths-STIC</idno>
            <idno type="stamp" n="UR1-UFR-ISTIC">UFR ISTIC Informatique et électronique</idno>
            <idno type="stamp" n="ENSMP_DEP_STE" corresp="ENSMP">Département Sciences de la Terre et de l’Environnement</idno>
            <idno type="stamp" n="TEST-UNIV-RENNES">TEST Université de Rennes</idno>
            <idno type="stamp" n="TEST-UR-CSS">TEST Université de Rennes CSS</idno>
            <idno type="stamp" n="UNIV-RENNES">Université de Rennes</idno>
            <idno type="stamp" n="INRIA-RENGRE">INRIA-RENGRE</idno>
            <idno type="stamp" n="INRIA-300009">Inria 300009</idno>
            <idno type="stamp" n="ENSMP_DR" corresp="ENSMP">ENSMP_DR</idno>
            <idno type="stamp" n="INSTITUTS-TELECOM">composantes instituts telecom </idno>
            <idno type="stamp" n="ENSMP-PSL" corresp="PSL">MINES ParisTech - École nationale supérieure des mines de Paris - PSL</idno>
            <idno type="stamp" n="ENSMP_HR" corresp="ENSMP_GEOSCIENCES">Equipe Hydrodynamique et Réactions du centre de Geosciences</idno>
            <idno type="stamp" n="UR1-MATH-NUM">Pôle UnivRennes - Mathématiques - Numérique </idno>
          </seriesStmt>
          <notesStmt>
            <note type="commentary">http://www.sciencedirect.com/science/article/B6WHY-4WGDR6C-1/2/ada7965dcd6096984365876b64411966</note>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">A global strategy for solving reactive transport equations</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Caroline</forename>
                    <surname>de Dieuleveult</surname>
                  </persName>
                  <email type="md5">dc0a4beabbeb9cd719116de39ef413b3</email>
                  <email type="domain">mines-paristech.fr</email>
                  <idno type="idhal" notation="string">caroline-de-dieuleveult</idno>
                  <idno type="idhal" notation="numeric">751096</idno>
                  <idno type="halauthorid" notation="string">18642-751096</idno>
                  <affiliation ref="#struct-43221"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Jocelyne</forename>
                    <surname>Erhel</surname>
                  </persName>
                  <email type="md5">53ce020f298459d1c1f908c182ffd8f1</email>
                  <email type="domain">inria.fr</email>
                  <idno type="idhal" notation="string">jocelyne-erhel</idno>
                  <idno type="idhal" notation="numeric">6567</idno>
                  <idno type="halauthorid" notation="string">24222-6567</idno>
                  <idno type="IDREF">https://www.idref.fr/098136518</idno>
                  <orgName ref="#struct-300009"/>
                  <affiliation ref="#struct-2530"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Michel</forename>
                    <surname>Kern</surname>
                  </persName>
                  <email type="md5">56543d5c8d182da284b511c970a7e240</email>
                  <email type="domain">inria.fr</email>
                  <idno type="idhal" notation="string">michel-kern</idno>
                  <idno type="idhal" notation="numeric">2473</idno>
                  <idno type="halauthorid" notation="string">2220-2473</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-7979-5947</idno>
                  <idno type="IDREF">https://www.idref.fr/032716079</idno>
                  <affiliation ref="#struct-2419"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">15275</idno>
                <idno type="issn">0021-9991</idno>
                <idno type="eissn">1090-2716</idno>
                <title level="j">Journal of Computational Physics</title>
                <imprint>
                  <publisher>Elsevier</publisher>
                  <biblScope unit="volume">228</biblScope>
                  <biblScope unit="issue">17</biblScope>
                  <biblScope unit="pp">6395-6410</biblScope>
                  <date type="datePub">2009-09-20</date>
                </imprint>
              </monogr>
              <idno type="doi">10.1016/j.jcp.2009.05.044</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="math.appl">Mathematics [math]/domain_math.appl</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>Reactive transport models are complex nonlinear Partial Differential Algebraic Equations (PDAE), coupling the transport engine with the geochemical operator. We propose an efficient and robust global numerical method, based on a method of lines and Differential Algebraic Equations (DAE) solvers, combined with a Newton method using a powerful sparse linear solver. Numerical experiments show the performances of the method. We also propose a unified framework to describe classical methods such as Sequential Non-Iterative Approach, Sequential Iterative Approach, Direct Substitution Approach and compare them with our global method</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-43221" status="VALID">
          <idno type="IdRef">151289468</idno>
          <idno type="RNSR">200920615Y</idno>
          <idno type="ROR">https://ror.org/03kc13263</idno>
          <orgName>Centre de Géosciences</orgName>
          <orgName type="acronym">GEOSCIENCES</orgName>
          <desc>
            <address>
              <addrLine>35 rue Saint-Honoré 77305 Fontainebleau cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.geosciences.mines-paristech.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301492" type="direct"/>
            <relation active="#struct-564132" type="indirect"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-2530" status="OLD">
          <idno type="RNSR">200418357R</idno>
          <orgName>Simulations and Algorithms on Grids for Environment</orgName>
          <orgName type="acronym">SAGE</orgName>
          <date type="start">2004-12-06</date>
          <date type="end">2015-12-31</date>
          <desc>
            <address>
              <addrLine>Campus de Beaulieu 35042 Rennes cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/equipes/sage</ref>
          </desc>
          <listRelation>
            <relation active="#struct-419153" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation active="#struct-419362" type="direct"/>
            <relation active="#struct-105128" type="indirect"/>
            <relation active="#struct-105160" type="indirect"/>
            <relation active="#struct-117606" type="indirect"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-172265" type="indirect"/>
            <relation active="#struct-247362" type="indirect"/>
            <relation active="#struct-301262" type="indirect"/>
            <relation active="#struct-411575" type="indirect"/>
            <relation name="UMR6074" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="researchteam" xml:id="struct-2419" status="OLD">
          <idno type="RNSR">199718324K</idno>
          <orgName>Parameter estimation and modeling in heterogeneous media</orgName>
          <orgName type="acronym">ESTIME</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation active="#struct-86790" type="direct"/>
            <relation active="#struct-300009" type="indirect"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-301492" status="VALID">
          <idno type="IdRef">026375249</idno>
          <idno type="ROR">https://ror.org/04y8cs423</idno>
          <orgName>Mines Paris - PSL (École nationale supérieure des mines de Paris)</orgName>
          <date type="start">1783-01-01</date>
          <desc>
            <address>
              <addrLine>60, boulevard Saint-Michel 75006 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.minesparis.psl.eu/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-564132" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-564132" status="VALID">
          <idno type="IdRef">241597595</idno>
          <idno type="ISNI">0000 0004 1784 3645</idno>
          <idno type="ROR">https://ror.org/013cjyk83</idno>
          <orgName>Université Paris Sciences et Lettres</orgName>
          <orgName type="acronym">PSL</orgName>
          <desc>
            <address>
              <addrLine>60 rue Mazarine 75006 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.psl.eu/</ref>
          </desc>
        </org>
        <org type="laboratory" xml:id="struct-419153" status="VALID">
          <idno type="RNSR">198018249C</idno>
          <idno type="ROR">https://ror.org/04040yw90</idno>
          <orgName>Centre Inria de l'Université de Rennes</orgName>
          <desc>
            <address>
              <addrLine>Campus de beaulieu35042 Rennes cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/centre/rennes</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300009" status="VALID">
          <idno type="ROR">https://ror.org/02kvxyf05</idno>
          <orgName>Institut National de Recherche en Informatique et en Automatique</orgName>
          <orgName type="acronym">Inria</orgName>
          <desc>
            <address>
              <addrLine>Domaine de VoluceauRocquencourt - BP 10578153 Le Chesnay Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/en/</ref>
          </desc>
        </org>
        <org type="department" xml:id="struct-419362" status="OLD">
          <orgName>SYSTÈMES LARGE ÉCHELLE</orgName>
          <orgName type="acronym">IRISA-D1</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.irisa.fr/fr/departements/d1-systemes-large-echelle</ref>
          </desc>
          <listRelation>
            <relation active="#struct-105128" type="direct"/>
            <relation active="#struct-105160" type="indirect"/>
            <relation active="#struct-117606" type="indirect"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-172265" type="indirect"/>
            <relation active="#struct-247362" type="indirect"/>
            <relation active="#struct-300009" type="indirect"/>
            <relation active="#struct-301262" type="indirect"/>
            <relation active="#struct-411575" type="indirect"/>
            <relation name="UMR6074" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-105128" status="OLD">
          <idno type="IdRef">026386909</idno>
          <idno type="ISNI">0000 0001 2298 7270</idno>
          <idno type="RNSR">200012163A</idno>
          <idno type="ROR">https://ror.org/00myn0z94</idno>
          <orgName>Institut de Recherche en Informatique et Systèmes Aléatoires</orgName>
          <orgName type="acronym">IRISA</orgName>
          <date type="start">2000-01-01</date>
          <date type="end">2016-12-31</date>
          <desc>
            <address>
              <addrLine>Avenue du général LeclercCampus de Beaulieu 35042 RENNES CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.irisa.fr</ref>
          </desc>
          <listRelation>
            <relation active="#struct-105160" type="direct"/>
            <relation active="#struct-117606" type="direct"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-172265" type="direct"/>
            <relation active="#struct-247362" type="direct"/>
            <relation active="#struct-300009" type="direct"/>
            <relation active="#struct-301262" type="direct"/>
            <relation active="#struct-411575" type="direct"/>
            <relation name="UMR6074" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-105160" status="VALID">
          <idno type="IdRef">26693823X</idno>
          <idno type="ROR">https://ror.org/015m7wh34</idno>
          <orgName>Université de Rennes</orgName>
          <orgName type="acronym">UR</orgName>
          <desc>
            <address>
              <addrLine>Campus de Beaulieu, 263 avenue Général Leclerc, CS 74205, 35042 RENNES CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.univ-rennes.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-117606" status="VALID">
          <idno type="ROR">https://ror.org/04xaa4j22</idno>
          <orgName>Institut National des Sciences Appliquées - Rennes</orgName>
          <orgName type="acronym">INSA Rennes</orgName>
          <desc>
            <address>
              <addrLine>20, avenue des Buttes de Coësmes - CS 70839 - 35708 Rennes cedex 7</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.insa-rennes.fr/</ref>
          </desc>
          <listRelation>
            <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-172265" status="VALID">
          <idno type="IdRef">05017746X</idno>
          <idno type="ISNI">0000000121680285</idno>
          <idno type="ROR">https://ror.org/04ed7fw48</idno>
          <orgName>Université de Bretagne Sud</orgName>
          <orgName type="acronym">UBS</orgName>
          <date type="start">1995-02-07</date>
          <desc>
            <address>
              <addrLine>BP 92116 - 56321 Lorient cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-ubs.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-247362" status="VALID">
          <idno type="ROR">https://ror.org/03rxtdc22</idno>
          <orgName>École normale supérieure - Rennes</orgName>
          <orgName type="acronym">ENS Rennes</orgName>
          <desc>
            <address>
              <addrLine>Campus de Ker Lann - avenue Robert Schuman - 35170 Bruz</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.ens-rennes.fr</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-301262" status="OLD">
          <orgName>Télécom Bretagne</orgName>
          <date type="start">1977</date>
          <desc>
            <address>
              <addrLine>Technopôle Brest-IroiseCS 8381829238 BREST Cedex 3</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.telecom-bretagne.eu/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-411575" status="VALID">
          <idno type="IdRef">184443237</idno>
          <idno type="ROR">https://ror.org/019tcpt25</idno>
          <orgName>CentraleSupélec</orgName>
          <desc>
            <address>
              <addrLine>3, rue Joliot Curie,Plateau de Moulon,91192 GIF-SUR-YVETTE Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.centralesupelec.fr</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>
        <org type="laboratory" xml:id="struct-86790" status="OLD">
          <orgName>Inria Paris-Rocquencourt</orgName>
          <date type="end">2016-03-30</date>
          <desc>
            <address>
              <addrLine>INRIA Rocquencourt : Domaine de Voluceau, Rocquencourt B.P. 105 78153 le Chesnay Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.inria.fr/centre/paris-rocquencourt</ref>
          </desc>
          <listRelation>
            <relation active="#struct-300009" type="direct"/>
          </listRelation>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>