Advances in Numerical Analysis
Volume 2012 (2012), Article ID 251908, 17 pages
http://dx.doi.org/10.1155/2012/251908
Research Article

The Optimal Error Estimate of Stabilized Finite Volume Method for the Stationary Navier-Stokes Problem

Guoliang He,1 Jian Su,2 and Wenqiang Dai3

1School of Mathematical Science, University of Electronic Science and Technology, Chengdu 610054, China
2Faculty of Science, Xi’an Jiaotong University, Xi’an 710049, China
3School of Management, University of Electronic Science and Technology, Chengdu 610054, China

Received 25 May 2012; Revised 13 August 2012; Accepted 30 August 2012

Academic Editor: Raytcho Lazarov

Copyright © 2012 Guoliang He et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A finite volume method based on stabilized finite element for the two-dimensional stationary Navier-Stokes equations is analyzed. For the element, we obtain the optimal error estimates of the finite volume solution and . We also provide some numerical examples to confirm the efficiency of the FVM. Furthermore, the effect of initial value for iterative method is analyzed carefully.