Title: ON ERROR ESTIMATES OF PROJECTION METHODS FOR NAVIER-STOKES
       EQUATIONS: FIRST ORDER SCHEMES

Author: Jie Shen

Status: SIAM J. Numer. Vol. 29, 55-77 (1992)

Abstract:

We study in this paper projection methods (or fractional step methods)
in the semi-discretized form for the Navier-Stokes equations in a two
or three dimensional bounded domain.  Error estimates for the velocity
and the pressure of the classical projection scheme are established
via the energy method. We propose also a modified projection scheme
which leads to improved error estimates.