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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

On Error Estimates of the Projection
Methods for the Navier-Stokes
Equations: Second-order Schemes


Author: Jie Shen
Journal: Math. Comp. 65 (1996), 1039-1065
MSC (1991): Primary 65M15, 35Q30; Secondary 35A40, 65J15
MathSciNet review: 1348047
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Abstract: We present in this paper a rigorous error analysis of several projection schemes for the approximation of the unsteady incompressible Navier-Stokes equations. The error analysis is accomplished by interpreting the respective projection schemes as second-order time discretizations of a perturbed system which approximates the Navier-Stokes equations. Numerical results in agreement with the error analysis are also presented.


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Additional Information

Jie Shen
Affiliation: Department of Mathematics, Penn State University, University Park, Pennsylvania 16802
Address at time of publication: Department of Mathematics, Penn State University, University Park, Pennsylvania 16802
Email: shen_j@math.psu.edu

DOI: http://dx.doi.org/10.1090/S0025-5718-96-00750-8
PII: S 0025-5718(96)00750-8
Keywords: Pseudo-compressibility, pressure stabilization, projection method, Navier-Stokes equations
Received by editor(s): March 3, 1994
Received by editor(s) in revised form: February 11, 1995, and March 6, 1995
Additional Notes: This work was supported in part by NSF Grant #9205300.
Article copyright: © Copyright 1996 American Mathematical Society