Verification of functional a posteriori error estimates for obstacle problem in 1D

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dc.contributor.authorHarasim, Petr
dc.contributor.authorValdman, Jan
dc.date.accessioned2014-02-10T11:29:11Z
dc.date.available2014-02-10T11:29:11Z
dc.date.issued2013
dc.description.abstractWe verify functional a posteriori error estimate for obstacle problem proposed by Repin. Simplification into 1D allows for the construction of a nonlinear benchmark for which an exact solution of the obstacle problem can be derived. Quality of a numerical approximation obtained by the finite element method is compared with the exact solution and the error of approximation is bounded from above by a majorant error estimate. The sharpness of the majorant error estimate is discussed.cs
dc.description.firstpage738cs
dc.description.issue5cs
dc.description.lastpage754cs
dc.description.sourceWeb of Sciencecs
dc.description.volume49cs
dc.format.extent531624 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citationKybernetika. 2013, vol. 49, no. 5, p. 738-754.cs
dc.identifier.issn0023-5954
dc.identifier.urihttp://hdl.handle.net/10084/101683
dc.identifier.wos000328665200005
dc.language.isoencs
dc.publisherAkademie věd České republiky. Ústav teorie informace a automatizacecs
dc.relation.ispartofseriesKybernetikacs
dc.relation.urihttp://www.kybernetika.cz/content/2013/5/738/paper.pdfcs
dc.rights.accessopenAccess
dc.subjectobstacle problemcs
dc.subjecta posteriori error estimatecs
dc.subjectfunctional majorantcs
dc.subjectfinite element methodcs
dc.subjectvariational inequalitiescs
dc.subjectUzawa algorithmcs
dc.titleVerification of functional a posteriori error estimates for obstacle problem in 1Dcs
dc.typearticlecs
dc.type.statusPeer-reviewedcs
dc.type.versionpublishedVersioncs

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