Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/93848
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dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorLi, Ben_US
dc.creatorMa, Sen_US
dc.creatorWang, Nen_US
dc.date.accessioned2022-08-03T01:23:54Z-
dc.date.available2022-08-03T01:23:54Z-
dc.identifier.issn0885-7474en_US
dc.identifier.urihttp://hdl.handle.net/10397/93848-
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.rights© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021en_US
dc.rightsThis version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10915-021-01588-8en_US
dc.subjectError estimateen_US
dc.subjectLinearly extrapolated Crank–Nicolson methoden_US
dc.subjectLocally refined stepsizesen_US
dc.subjectNavier–Stokes equationsen_US
dc.subjectNonsmooth initial dataen_US
dc.titleSecond-order convergence of the linearly extrapolated Crank–Nicolson method for the Navier–Stokes equations with H1 initial dataen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.volume88en_US
dc.identifier.issue3en_US
dc.identifier.doi10.1007/s10915-021-01588-8en_US
dcterms.abstractThis article concerns the numerical approximation of the two-dimensional nonstationary Navier–Stokes equations with H1 initial data. By utilizing special locally refined temporal stepsizes, we prove that the linearly extrapolated Crank–Nicolson scheme, with the usual stabilized Taylor–Hood finite element method in space, can achieve second-order convergence in time and space. Numerical examples are provided to support the theoretical analysis.en_US
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationJournal of scientific computing, Sept. 2021, v. 88, no. 3, 70en_US
dcterms.isPartOfJournal of scientific computingen_US
dcterms.issued2021-09-
dc.identifier.scopus2-s2.0-85111707569-
dc.identifier.artn70en_US
dc.description.validate202208 bcfcen_US
dc.description.oaAccepted Manuscripten_US
dc.identifier.FolderNumberAMA-0013-
dc.description.fundingSourceRGCen_US
dc.description.pubStatusPublisheden_US
dc.identifier.OPUS54606500-
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