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Abstract:
A two-level defect correction method for the steady-state Navier-Stokes equations with a high Reynolds number is considered in this paper. The defect step is accomplished in a coarse-level subspace H(m) by solving the standard Galerkin equation with an artificial viscosity parameter sigma as a stability factor, and the correction step is performed in a fine-level subspace H(M) by solving a linear equation. H(1) error estimates are derived for this two-level defect-correction method. Moreover, some numerical examples are presented to show that the two-level defect-correction method can reach the same accuracy as the standard Galerkin method in fine-level subspace H(M). However, the two-level method will involve much less work than the one-level method.
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Source :
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
ISSN: 0004-9727
Year: 2010
Issue: 3
Volume: 81
Page: 442-454
0 . 3 9 2
JCR@2010
0 . 6 3 0
JCR@2020
ESI Discipline: MATHEMATICS;
JCR Journal Grade:4
CAS Journal Grade:4
Cited Count:
WoS CC Cited Count: 28
SCOPUS Cited Count: 29
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 4
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