Indexed by:
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:
Reprint Author's Address:
Email:
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