Title: On A New Pseudo-compressibility Method for
       the Incompressible Navier-Stokes Equations

Author: Jie Shen

Status: Appl. Numer. Math. 21, 71-90, 1996

Abstract:

We propose and analyze a new pseudo-compressibility method which is
obtained by introducing a pressure stabilizing/regularizing term in
the equation of mass conservation. The perturbed system can be viewed
as an approximation to the incompressible Navier-Stokes equations, and
its discretization can lead to efficient and accurate numerical
schemes for the Navier-Stokes equations. An error analysis for a
related artificial compressibility method for the Navier-Stokes
equations is also carried out.