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http://hdl.handle.net/10397/93848
Title: | Second-order convergence of the linearly extrapolated Crank–Nicolson method for the Navier–Stokes equations with H1 initial data | Authors: | Li, B Ma, S Wang, N |
Issue Date: | Sep-2021 | Source: | Journal of scientific computing, Sept. 2021, v. 88, no. 3, 70 | 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. | Keywords: | Error estimate Linearly extrapolated Crank–Nicolson method Locally refined stepsizes Navier–Stokes equations Nonsmooth initial data |
Publisher: | Springer | Journal: | Journal of scientific computing | ISSN: | 0885-7474 | DOI: | 10.1007/s10915-021-01588-8 | Rights: | © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 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 |
Appears in Collections: | Journal/Magazine Article |
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File | Description | Size | Format | |
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Li_Second-Order_Convergence_Linearly.pdf | Pre-Published version | 1.24 MB | Adobe PDF | View/Open |
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