Math @ Duke

Publications [#246948] of JianGuo Liu
Papers Published
 Lu, X; Lin, P; Liu, JG, Analysis of a sequential regularization method for the unsteady NavierStokes equations,
Mathematics of Computation, vol. 77 no. 263
(2008),
pp. 14671494, American Mathematical Society (AMS), ISSN 00255718 [doi]
(last updated on 2019/02/17)
Abstract: The incompressibility constraint makes NavierStokes 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 NavierStokes equations. We also give error estimates for the time discretized SRM formulation. ©2008 American Mathematical Society.
Keywords: NavierStokes equations • iterative penalty method • implicit parabolic PDE • error estimates • constrained dynamical system • stabilization method


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