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Author:

He, Yinnian (He, Yinnian.) | Li, Jian (Li, Jian.)

Indexed by:

SCIE EI Scopus

Abstract:

This paper considers three iterative methods for solving the stationary Navier-Stokes equations. Iterative method I consists in solving the stationary Stokes equations, iterative method II consists in solving the stationary linearized Navier-Stokes equations and iterative method III consists in solving the stationary Oseen equations under the finite element discretization, respectively, at each iterative step. Also, we discuss the stability and convergence of three iterative methods. The iterative methods I and II are stability and convergence under the strong uniqueness conditions, where the iterative method II is the second order convergence. Furthermore, the iterative method III is uncondition stability and convergence under the uniqueness condition. Finally, some numerical tests show that the efficiency of the theoretical analysis. (C) 2008 Elsevier B.V. All rights reserved.

Keyword:

Error estimate Iterative method Navier-Stokes equations Stability

Author Community:

  • [ 1 ] [He, Yinnian] Xi An Jiao Tong Univ, Fac Sci, State Key Lab Multiphase Flow Power Engn, Xian 710049, Peoples R China
  • [ 2 ] [Li, Jian] Xi An Jiao Tong Univ, Baoji Univ Arts & Sci, Fac Sci, Dept Math, Xian 710049, Peoples R China

Reprint Author's Address:

  • Xi An Jiao Tong Univ, Fac Sci, State Key Lab Multiphase Flow Power Engn, Xian 710049, Peoples R China.

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Source :

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

ISSN: 0045-7825

Year: 2009

Issue: 15-16

Volume: 198

Page: 1351-1359

1 . 8 0 6

JCR@2009

6 . 7 5 6

JCR@2020

ESI Discipline: COMPUTER SCIENCE;

JCR Journal Grade:2

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 136

SCOPUS Cited Count: 168

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 14

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