On the Error Estimates of a New Operator Splitting Method for the Navier-Stokes Equations

On the Error Estimates of a New Operator Splitting Method for the Navier-Stokes Equations

Year:    2014

Journal of Computational Mathematics, Vol. 32 (2014), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1310-m4211

Journal of Computational Mathematics, Vol. 32 (2014), Iss. 1 : pp. 75–92

Published online:    2014-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

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