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dc.contributor.authorLanger, Ulrich
dc.contributor.authorRepin, Sergey
dc.contributor.authorSamrowski, Tatiana
dc.date.accessioned2017-12-12T06:52:36Z
dc.date.available2018-07-26T21:35:25Z
dc.date.issued2017
dc.identifier.citationLanger, U., Repin, S., & Samrowski, T. (2017). A posteriori estimates for a coupled piezoelectric model. <i>Russian Journal of Numerical Analysis and Mathematical Modelling</i>, <i>32</i>(4), 259-266. <a href="https://doi.org/10.1515/rnam-2017-0025" target="_blank">https://doi.org/10.1515/rnam-2017-0025</a>
dc.identifier.otherCONVID_27173358
dc.identifier.otherTUTKAID_74736
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/56258
dc.description.abstractThe paper is concerned with a coupled problem describing piesoelectric effects in an elastic body. For this problem, we deduce majorants of the distance between the exact solution and any approximation in the respective energy class of functions satisfying the boundary conditions. The majorants are fully computable and does not contain mesh dependent constants. They vanish if and only if an approximate solution coincides with the exact one and provide a realistic measure of the accuracy in terms of the natural energy norm associated with the coupled problem studied.
dc.language.isoeng
dc.publisherWalter de Gruyter GmbH
dc.relation.ispartofseriesRussian Journal of Numerical Analysis and Mathematical Modelling
dc.subject.othercoupled systems of partial differential equations
dc.subject.otherpiezoelectricity problem
dc.subject.othera posteriori error estimates
dc.titleA posteriori estimates for a coupled piezoelectric model
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201712114607
dc.contributor.laitosInformaatioteknologian tiedekuntafi
dc.contributor.laitosFaculty of Information Technologyen
dc.contributor.oppiaineTietotekniikkafi
dc.contributor.oppiaineMathematical Information Technologyen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2017-12-11T13:15:08Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.format.pagerange259-266
dc.relation.issn0927-6467
dc.relation.numberinseries4
dc.relation.volume32
dc.type.versionacceptedVersion
dc.rights.copyright© 2017 Walter de Gruyter GmbH, Berlin/Boston. This is a final draft version of an article whose final and definitive form has been published by de Gryuter. Published in this repository with the kind permission of the publisher.
dc.rights.accesslevelopenAccessfi
dc.subject.ysomatemaattiset mallit
dc.subject.ysoosittaisdifferentiaaliyhtälöt
dc.subject.ysonumeerinen analyysi
dc.subject.ysovirheanalyysi
jyx.subject.urihttp://www.yso.fi/onto/yso/p11401
jyx.subject.urihttp://www.yso.fi/onto/yso/p12392
jyx.subject.urihttp://www.yso.fi/onto/yso/p15833
jyx.subject.urihttp://www.yso.fi/onto/yso/p9865
dc.relation.doi10.1515/rnam-2017-0025


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