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|Title:||Analysis of a sequential regularization method for the unsteady Navier-Stokes equations||Authors:||Lu, X.
|Keywords:||Constrained dynamical system
Implicit parabolic PDE
Iterative penalty method
|Issue Date:||Jul-2008||Citation:||Lu, X., Lin, P., Liu, J.-G. (2008-07). Analysis of a sequential regularization method for the unsteady Navier-Stokes equations. Mathematics of Computation 77 (263) : 1467-1494. ScholarBank@NUS Repository. https://doi.org/10.1090/S0025-5718-08-02087-5||Abstract:||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.||Source Title:||Mathematics of Computation||URI:||http://scholarbank.nus.edu.sg/handle/10635/102857||ISSN:||00255718||DOI:||10.1090/S0025-5718-08-02087-5|
|Appears in Collections:||Staff Publications|
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