Fourier spectral projection method and nonlinear convergence analysis for Navier-Stokes equations
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AbstractIn this paper, we investigate the convergence rate of the Fourier spectral projection methods for the periodic problem of n-dimensional Navier-Stokes equations. Based on some alternative formulations of the Navier-Stokes equations and the related projection methods, the error estimates are carried out by a global nonlinear error analysis. It simplifies the analysis, relaxes the restriction on the time step size, weakens the regularity requirements on the genuine solution, and leads to some improved convergence results. A new correction technique is proposed for improving the accuracy of the numerical pressure. (C) 2003 Elsevier Inc. All rights reserved.
All Author(s) ListGuo BY, Zou J
Journal nameJournal of Mathematical Analysis and Applications
Year2003
Month6
Day15
Volume Number282
Issue Number2
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Pages766 - 791
ISSN0022-247X
eISSN1096-0813
LanguagesEnglish-United Kingdom
Keywordsconvergence rate; equivalent formulation; Navier-Stokes equations; nonlinear error analysis; numerical pressure correction; projection method
Web of Science Subject CategoriesMathematics; MATHEMATICS; Mathematics, Applied; MATHEMATICS, APPLIED

Last updated on 2020-18-10 at 01:24