Analysis of a sequential regularization method for the unsteady Navier-Stokes equations


Journal Article

The incompressibility constraint makes Navier-Stokes equations difficult. 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 benefit 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. ©2008 American Mathematical Society.

Full Text

Duke Authors

Cited Authors

  • Lu, X; Lin, P; Liu, JG

Published Date

  • July 1, 2008

Published In

Volume / Issue

  • 77 / 263

Start / End Page

  • 1467 - 1494

International Standard Serial Number (ISSN)

  • 0025-5718

Digital Object Identifier (DOI)

  • 10.1090/S0025-5718-08-02087-5

Citation Source

  • Scopus