Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/93848
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Li, B | en_US |
dc.creator | Ma, S | en_US |
dc.creator | Wang, N | en_US |
dc.date.accessioned | 2022-08-03T01:23:54Z | - |
dc.date.available | 2022-08-03T01:23:54Z | - |
dc.identifier.issn | 0885-7474 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/93848 | - |
dc.language.iso | en | en_US |
dc.publisher | Springer | en_US |
dc.rights | © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 | en_US |
dc.rights | This 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/s10915-021-01588-8 | en_US |
dc.subject | Error estimate | en_US |
dc.subject | Linearly extrapolated Crank–Nicolson method | en_US |
dc.subject | Locally refined stepsizes | en_US |
dc.subject | Navier–Stokes equations | en_US |
dc.subject | Nonsmooth initial data | en_US |
dc.title | Second-order convergence of the linearly extrapolated Crank–Nicolson method for the Navier–Stokes equations with H1 initial data | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.volume | 88 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.doi | 10.1007/s10915-021-01588-8 | en_US |
dcterms.abstract | This 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.accessRights | open access | en_US |
dcterms.bibliographicCitation | Journal of scientific computing, Sept. 2021, v. 88, no. 3, 70 | en_US |
dcterms.isPartOf | Journal of scientific computing | en_US |
dcterms.issued | 2021-09 | - |
dc.identifier.scopus | 2-s2.0-85111707569 | - |
dc.identifier.artn | 70 | en_US |
dc.description.validate | 202208 bcfc | en_US |
dc.description.oa | Accepted Manuscript | en_US |
dc.identifier.FolderNumber | AMA-0013 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.pubStatus | Published | en_US |
dc.identifier.OPUS | 54606500 | - |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Li_Second-Order_Convergence_Linearly.pdf | Pre-Published version | 1.24 MB | Adobe PDF | View/Open |
Page views
58
Last Week
1
1
Last month
Citations as of May 12, 2024
Downloads
42
Citations as of May 12, 2024
SCOPUSTM
Citations
10
Citations as of May 16, 2024
WEB OF SCIENCETM
Citations
7
Citations as of May 16, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.