Publications [#139010] of Jian-Guo Liu

Papers Accepted

1. X. Lu, P. Lin and J.-G. Liu, Analysis of a sequential regularization method for the unsteady Navier-Stokes equations, Math. Comp. (2007)
   (last updated on 2007/12/07)

   Abstract:
   The incompressibility constraint makes Navier-Stokes equations dicult. A reformulation to a better posed problem is needed before solving it numerically. The sequential regularization method (SRM) is a reformulation which combines the penalty method with a stabilization method in the context of constrained dynamical systems and has the benet of both methods. In the paper, we study the existence and uniqueness for the solution of the SRM and provide a simple proof of the convergence of the solution of the SRM to the solution of the Navier-Stokes equations. We also give error estimates for the time discretized SRM formulation.

   Keywords:
   Navier-Stokes equations • iterative penalty method • implicit parabolic PDE • error estimates • constrained dynamical system • stabilization method