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dc.contributor.authorAnjam, Immanuel
dc.contributor.authorNokka, Marjaana
dc.contributor.authorRepin, Sergey
dc.date.accessioned2016-04-27T09:58:12Z
dc.date.available2016-04-27T09:58:12Z
dc.date.issued2012
dc.identifier.citationAnjam, I., Nokka, M., & Repin, S. (2012). On a posteriori error bounds for approximations of the generalized Stokes problem generated by the Uzawa algorithm. <i>Russian Journal of Numerical Analysis and Mathematical Modelling</i>, <i>27</i>(4), 321-338. <a href="https://doi.org/10.1515/rnam-2012-0018" target="_blank">https://doi.org/10.1515/rnam-2012-0018</a>
dc.identifier.otherCONVID_21528211
dc.identifier.otherTUTKAID_51302
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/49571
dc.description.abstractIn this paper, we derive computable a posteriori error bounds for approximations computed by the Uzawa algorithm for the generalized Stokes problem. We show that for each Uzawa iteration both the velocity error and the pressure error are bounded from above by a constant multiplied by the L2-norm of the divergence of the velocity. The derivation of the estimates essentially uses a posteriori estimates of the functional type for the Stokes problem.
dc.language.isoeng
dc.publisherDe Gruyter
dc.relation.ispartofseriesRussian Journal of Numerical Analysis and Mathematical Modelling
dc.subject.othera posteriori virhe-estimaatit
dc.subject.otherUzawa-algoritmi
dc.subject.otheryleistetty Stokesin yhtälö
dc.subject.othera posteriori error estimates
dc.subject.otherUzawa algorithm
dc.subject.othergeneralized Stokes problem
dc.titleOn a posteriori error bounds for approximations of the generalized Stokes problem generated by the Uzawa algorithm
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201604272333
dc.contributor.laitosTietotekniikan laitosfi
dc.contributor.laitosDepartment of Mathematical Information Technologyen
dc.contributor.oppiaineTietotekniikkafi
dc.contributor.oppiaineMathematical Information Technologyen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2016-04-27T09:15:02Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.format.pagerange321-338
dc.relation.issn1569-3988
dc.relation.numberinseries4
dc.relation.volume27
dc.type.versionpublishedVersion
dc.rights.copyright© de Gruyter 2012. Published in this repository with the kind permission of the publisher.
dc.rights.accesslevelopenAccessfi
dc.relation.doi10.1515/rnam-2012-0018


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