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Author:

Zhao, Xin (Zhao, Xin.) | Li, Jian (Li, Jian.) | Su, Jian (Su, Jian.) | Lei, Gang (Lei, Gang.)

Indexed by:

SCIE EI Scopus

Abstract:

This article proposes and analyzes a multilevel stabilized finite volume method(FVM) for the three-dimensional stationary Navier-Stokes equations approximated by the lowest equal-order finite element pairs. The method combines the new stabilized FVM with the multilevel discretization under the assumption of the uniqueness condition. The multilevel stabilized FVM consists of solving the nonlinear problem on the coarsest mesh and then performs one Newton correction step on each subsequent mesh thus only solving one large linear systems. The error analysis shows that the multilevel-stabilized FVM provides an approximate solution with the convergence rate of the same order as the usual stabilized finite element solution solving the stationary Navier-Stokes equations on a fine mesh for an appropriate choice of mesh widths: h(j) approximate to h(j-1)(2), j = 1,...,J. Therefore, the multilevel stabilized FVM is more efficient than the standard one-level-stabilized FVM. (c) 2013 Wiley Periodicals, Inc.

Keyword:

inf-sup condition multilevel discretization Navier-Stokes equations stabilized FVM

Author Community:

  • [ 1 ] [Zhao, Xin; Li, Jian; Lei, Gang] Baoji Univ Arts & Sci, Dept Math & Geog Sci & Environm Engn, Baoji 721007, Peoples R China
  • [ 2 ] [Li, Jian; Su, Jian] Xi An Jiao Tong Univ, Sch Math & Stat, Ctr Computat Geosci, Xian 710049, Peoples R China

Reprint Author's Address:

  • Baoji Univ Arts & Sci, Dept Math, Baoji 721007, Peoples R China.

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Source :

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

ISSN: 0749-159X

Year: 2013

Issue: 6

Volume: 29

Page: 2146-2160

1 . 0 5 7

JCR@2013

3 . 0 0 9

JCR@2020

ESI Discipline: ENGINEERING;

ESI HC Threshold:151

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 2

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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