Numerical Analysis of a Nickel-Iron Electrodeposition Process
Identifieur interne : 001804 ( Istex/Corpus ); précédent : 001803; suivant : 001805Numerical Analysis of a Nickel-Iron Electrodeposition Process
Auteurs : N. Alaa ; M. Iguernane ; J. R. RocheSource :
- Mathematics in Industry [ 1612-3956 ]
Abstract
This paper deals with a coupled system of non-linear elliptic differential equations arising in electrodeposition modelling process. We show the existence and uniqueness of the solution. A numerical algorithm to compute an approximation of the weak solution is described. We introduce a domain decomposition method to take in account the anisotropy of the solution. We show the domain decomposition method convergence. A numerical example is presented and commented.
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DOI: 10.1007/978-3-540-71992-2_141
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DisplayOrder="Western"><GivenName>Luis</GivenName><GivenName>L.</GivenName><FamilyName>Bonilla</FamilyName></EditorName><Contact><Email>bonilla@ing.uc3m.es</Email></Contact></Editor><Editor AffiliationIDS="Aff2"><EditorName DisplayOrder="Western"><GivenName>Miguel</GivenName><FamilyName>Moscoso</FamilyName></EditorName><Contact><Email>moscoso@math.uc3m.es</Email></Contact></Editor><Editor AffiliationIDS="Aff3"><EditorName DisplayOrder="Western"><GivenName>Gloria</GivenName><FamilyName>Platero</FamilyName></EditorName><Contact><Email>Gloria.platero@icmm.csic.es</Email></Contact></Editor><Editor AffiliationIDS="Aff4"><EditorName DisplayOrder="Western"><GivenName>Jose</GivenName><GivenName>M.</GivenName><FamilyName>Vega</FamilyName></EditorName><Contact><Email>vega@fmetsia.upm.es</Email></Contact></Editor><Affiliation ID="Aff1"><OrgName>Universidad Carlos III de Madrid</OrgName><OrgAddress><Street>Avenida de la Universidad 30</Street><Postcode>28911</Postcode><City>Leganes</City><Country>Spain</Country></OrgAddress></Affiliation><Affiliation ID="Aff2"><OrgName>Universidad Carlos III de Madrid</OrgName><OrgAddress><Street>Avda. Universidad, 30</Street><Postcode>28911</Postcode><City>Leganes (Madrid)</City><Country>Spain</Country></OrgAddress></Affiliation><Affiliation ID="Aff3"><OrgDivision>Instituto de Ciencia de Materiales de Madrid</OrgDivision><OrgName>CSIC</OrgName><OrgAddress><Postcode>28049</Postcode><City>Madrid</City><Country>Spain</Country></OrgAddress></Affiliation><Affiliation ID="Aff4"><OrgName>Universidad Politécnica de Madrid</OrgName><OrgAddress><Street>Plaza Cardenal Cisneros 3</Street><Postcode>28040</Postcode><City>Madrid</City><Country>Spain</Country></OrgAddress></Affiliation></EditorGroup></BookHeader><Part ID="Part3"><PartInfo TocLevels="0"><PartID>3</PartID><PartNumber>III</PartNumber><PartSequenceNumber>3</PartSequenceNumber><PartTitle>Contributed Papers</PartTitle><PartChapterCount>39</PartChapterCount></PartInfo><Chapter ID="Chap141" Language="En"><ChapterInfo ChapterType="OriginalPaper" ContainsESM="No" NumberingStyle="Unnumbered" TocLevels="0"><ChapterID>141</ChapterID><ChapterDOI>10.1007/978-3-540-71992-2_141</ChapterDOI><ChapterSequenceNumber>141</ChapterSequenceNumber><ChapterTitle Language="En">Numerical Analysis of a Nickel-Iron Electrodeposition Process</ChapterTitle><ChapterFirstPage>817</ChapterFirstPage><ChapterLastPage>821</ChapterLastPage><ChapterCopyright><CopyrightHolderName>Springer-Verlag Berlin Heidelberg</CopyrightHolderName><CopyrightYear>2008</CopyrightYear></ChapterCopyright><ChapterGrants Type="Regular"><MetadataGrant Grant="OpenAccess"></MetadataGrant><AbstractGrant Grant="OpenAccess"></AbstractGrant><BodyPDFGrant Grant="Restricted"></BodyPDFGrant><BodyHTMLGrant Grant="Restricted"></BodyHTMLGrant><BibliographyGrant Grant="Restricted"></BibliographyGrant><ESMGrant Grant="Restricted"></ESMGrant></ChapterGrants><ChapterContext><SeriesID>4650</SeriesID><PartID>3</PartID><BookID>978-3-540-71992-2</BookID><BookTitle>Progress in Industrial Mathematics at ECMI 2006</BookTitle></ChapterContext></ChapterInfo><ChapterHeader><AuthorGroup><Author AffiliationIDS="Aff5"><AuthorName DisplayOrder="Western"><GivenName>N.</GivenName><FamilyName>Alaa</FamilyName></AuthorName><Contact><Email>alaa@fstg-marrakech.ac.ma</Email></Contact></Author><Author AffiliationIDS="Aff6"><AuthorName DisplayOrder="Western"><GivenName>M.</GivenName><FamilyName>Iguernane</FamilyName></AuthorName><Contact><Email>iguernan@iecn.u-nancy.fr</Email></Contact></Author><Author AffiliationIDS="Aff6"><AuthorName DisplayOrder="Western"><GivenName>J.</GivenName><GivenName>R.</GivenName><FamilyName>Roche</FamilyName></AuthorName><Contact><Email>roche@iecn.u-nancy.fr</Email></Contact></Author><Affiliation ID="Aff5"><OrgDivision>Département de Mathématiques et Informatique</OrgDivision><OrgName>Faculté des Sciences et Téchniques Gueliz</OrgName><OrgAddress><Street>B.P. 549</Street><City>Marrakech</City><Country>Morocco</Country></OrgAddress></Affiliation><Affiliation ID="Aff6"><OrgDivision>I.E.C.N</OrgDivision><OrgName>Université Henri Poincaré</OrgName><OrgAddress><Street>B.P. 549</Street><Postcode>54506</Postcode><City>Vandoeuvre-lès-Nancy</City><Country>France</Country></OrgAddress></Affiliation></AuthorGroup><Abstract ID="Abs1" Language="En"><Para>This paper deals with a coupled system of non-linear elliptic differential equations arising in electrodeposition modelling process. We show the existence and uniqueness of the solution. A numerical algorithm to compute an approximation of the weak solution is described. We introduce a domain decomposition method to take in account the anisotropy of the solution. We show the domain decomposition method convergence. A numerical example is presented and commented.</Para></Abstract></ChapterHeader><NoBody></NoBody></Chapter></Part></Book></Series></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Numerical Analysis of a Nickel-Iron Electrodeposition Process</title></titleInfo><titleInfo type="alternative" contentType="CDATA"><title>Numerical Analysis of a Nickel-Iron Electrodeposition Process</title></titleInfo><name type="personal"><namePart type="given">N.</namePart><namePart type="family">Alaa</namePart><affiliation>Département de Mathématiques et Informatique, Faculté des Sciences et Téchniques Gueliz, B.P. 549, Marrakech, Morocco</affiliation><affiliation>E-mail: alaa@fstg-marrakech.ac.ma</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">M.</namePart><namePart type="family">Iguernane</namePart><affiliation>I.E.C.N, Université Henri Poincaré, B.P. 549, 54506, Vandoeuvre-lès-Nancy, France</affiliation><affiliation>E-mail: iguernan@iecn.u-nancy.fr</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">J.</namePart><namePart type="given">R.</namePart><namePart type="family">Roche</namePart><affiliation>I.E.C.N, Université Henri Poincaré, B.P. 549, 54506, Vandoeuvre-lès-Nancy, France</affiliation><affiliation>E-mail: roche@iecn.u-nancy.fr</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre displayLabel="OriginalPaper" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" type="conference" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-BFHXPBJJ-3">conference</genre><originInfo><publisher>Springer Berlin Heidelberg</publisher><place><placeTerm type="text">Berlin, Heidelberg</placeTerm></place><dateIssued encoding="w3cdtf">2008</dateIssued><copyrightDate encoding="w3cdtf">2008</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><abstract lang="en">This paper deals with a coupled system of non-linear elliptic differential equations arising in electrodeposition modelling process. We show the existence and uniqueness of the solution. A numerical algorithm to compute an approximation of the weak solution is described. We introduce a domain decomposition method to take in account the anisotropy of the solution. We show the domain decomposition method convergence. A numerical example is presented and commented.</abstract><relatedItem type="host"><titleInfo><title>Progress in Industrial Mathematics at ECMI 2006</title></titleInfo><name type="personal"><namePart type="given">Luis</namePart><namePart type="given">L.</namePart><namePart type="family">Bonilla</namePart><affiliation>Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911, Leganes, Spain</affiliation><affiliation>E-mail: bonilla@ing.uc3m.es</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Miguel</namePart><namePart type="family">Moscoso</namePart><affiliation>Universidad Carlos III de Madrid, Avda. 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