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Abstract:
In this paper, we consider a defect-correction stabilized finite element method for incompressible Navier-Stokes equations with friction boundary conditions whose variational formulation is the variational inequality problem of the second kind with Navier-Stokes operator. In the defect step, an artificial viscosity parameter a is added to the Reynolds number as a stability factor, and the Oseen iterative scheme is applied in the correction step. H-1 x L-2 error estimations are derived for the one-step defect-correction stabilized finite element method. In the end, some numerical results are presented to verify the theoretical analysis. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved.
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Source :
APPLIED NUMERICAL MATHEMATICS
ISSN: 0168-9274
Year: 2015
Volume: 90
Page: 9-21
1 . 4 1 4
JCR@2015
2 . 4 6 8
JCR@2020
ESI Discipline: MATHEMATICS;
ESI HC Threshold:65
JCR Journal Grade:2
CAS Journal Grade:3
Cited Count:
WoS CC Cited Count: 11
SCOPUS Cited Count: 13
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 8
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