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Volume 32, Issue 1
On the Error Estimates of a New Operator Splitting Method for the Navier-Stokes Equations

Hongen Jia, Kaimin Teng & Kaitai Li

DOI: 10.4208/jcm.1310-m4211

J. Comp. Math., 32 (2014), pp. 75-92.

Published online: 2014-02

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  • Abstract

In this paper, a new operator splitting scheme is introduced for the numerical solution of the incompressible Navier-Stokes equations. Under some mild regularity assumptions on the PDE solution, the stability of the scheme is presented, and error estimates for the velocity and the pressure of the proposed operator splitting scheme are given.

  • Keywords

Fractional step methods, Navier-Stokes Problem, Operator splitting, Projection method.

  • AMS Subject Headings

35Q30, 74S05.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-32-75, author = {Hongen Jia, Kaimin Teng and Kaitai Li}, title = {On the Error Estimates of a New Operator Splitting Method for the Navier-Stokes Equations}, journal = {Journal of Computational Mathematics}, year = {2014}, volume = {32}, number = {1}, pages = {75--92}, abstract = {

In this paper, a new operator splitting scheme is introduced for the numerical solution of the incompressible Navier-Stokes equations. Under some mild regularity assumptions on the PDE solution, the stability of the scheme is presented, and error estimates for the velocity and the pressure of the proposed operator splitting scheme are given.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1310-m4211}, url = {http://global-sci.org/intro/article_detail/jcm/9870.html} }
TY - JOUR T1 - On the Error Estimates of a New Operator Splitting Method for the Navier-Stokes Equations AU - Hongen Jia, Kaimin Teng & Kaitai Li JO - Journal of Computational Mathematics VL - 1 SP - 75 EP - 92 PY - 2014 DA - 2014/02 SN - 32 DO - http://doi.org/10.4208/jcm.1310-m4211 UR - https://global-sci.org/intro/article_detail/jcm/9870.html KW - Fractional step methods, Navier-Stokes Problem, Operator splitting, Projection method. AB -

In this paper, a new operator splitting scheme is introduced for the numerical solution of the incompressible Navier-Stokes equations. Under some mild regularity assumptions on the PDE solution, the stability of the scheme is presented, and error estimates for the velocity and the pressure of the proposed operator splitting scheme are given.

Hongen Jia, Kaimin Teng and Kaitai Li. (2014). On the Error Estimates of a New Operator Splitting Method for the Navier-Stokes Equations. Journal of Computational Mathematics. 32 (1). 75-92. doi:10.4208/jcm.1310-m4211
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