Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 745908, 14 pages
http://dx.doi.org/10.1155/2011/745908
Research Article

Numerical Investigations on Several Stabilized Finite Element Methods for the Stokes Eigenvalue Problem

Pengzhan Huang,1 Yinnian He,1,2 and Xinlong Feng1

1College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China
2Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China

Received 27 May 2011; Accepted 3 July 2011

Academic Editor: Alexander P. Seyranian

Copyright © 2011 Pengzhan Huang 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

Several stabilized finite element methods for the Stokes eigenvalue problem based on the lowest equal-order finite element pair are numerically investigated. They are penalty, regular, multiscale enrichment, and local Gauss integration method. Comparisons between them are carried out, which show that the local Gauss integration method has good stability, efficiency, and accuracy properties, and it is a favorite method among these methods for the Stokes eigenvalue problem.