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Author:

Liu, Qingfang (Liu, Qingfang.) | Hou, Yanren (Hou, Yanren.)

Indexed by:

SCIE Scopus

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.

Keyword:

defect-correction method Navier-Stokes equations spectral method two-level method

Author Community:

  • [ 1 ] [Liu, Qingfang; Hou, Yanren] Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China

Reprint Author's Address:

  • Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China.

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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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