Please use this identifier to cite or link to this item: https://doi.org/10.1090/S0025-5718-08-02087-5
DC FieldValue
dc.titleAnalysis of a sequential regularization method for the unsteady Navier-Stokes equations
dc.contributor.authorLu, X.
dc.contributor.authorLin, P.
dc.contributor.authorLiu, J.-G.
dc.date.accessioned2014-10-28T02:30:32Z
dc.date.available2014-10-28T02:30:32Z
dc.date.issued2008-07
dc.identifier.citationLu, 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
dc.identifier.issn00255718
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/102857
dc.description.abstractThe 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.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1090/S0025-5718-08-02087-5
dc.sourceScopus
dc.subjectConstrained dynamical system
dc.subjectError estimates
dc.subjectImplicit parabolic PDE
dc.subjectIterative penalty method
dc.subjectNavier-Stokes equations
dc.subjectStabilization method
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1090/S0025-5718-08-02087-5
dc.description.sourcetitleMathematics of Computation
dc.description.volume77
dc.description.issue263
dc.description.page1467-1494
dc.identifier.isiut000257559400012
Appears in Collections:Staff Publications

Show simple item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

12
checked on Dec 1, 2020

WEB OF SCIENCETM
Citations

11
checked on Dec 1, 2020

Page view(s)

81
checked on Nov 29, 2020

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.