Numerische Mathematik

, Volume 62, Issue 1, pp 49–73

On error estimates of some higher order projection and penalty-projection methods for Navier-Stokes equations

  • Jie Shen

DOI: 10.1007/BF01396220

Cite this article as:
Shen, J. Numer. Math. (1992) 62: 49. doi:10.1007/BF01396220


This paper is a continuation of our previous work [10] on projection methods. We study first existing “higher order” projection schemes in the semidiscretized form for the Navier-Stokes equations. One error analysis suggests that the precision of these schemes is most likely plagued by the inconsistent Neumann boundary condition satisfied by the pressure approximations. We then propose a penalty-projection scheme for which we obtain improved error estimates.

Mathematics Subject Classification (1991)

35A40 35Q10 65J15 

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • Jie Shen
    • 1
    • 2
  1. 1.Institute for Applied Mathematics and Scientific ComputingIndiana UniversityBloomingtonUSA
  2. 2.Department of MathematicsPenn State UniversityBloomingtonUSA