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Journal of Applied Mathematics
Volume 2013 (2013), Article ID 985864, 10 pages
http://dx.doi.org/10.1155/2013/985864
Research Article

Numerical Study on Several Stabilized Finite Element Methods for the Steady Incompressible Flow Problem with Damping

College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China

Received 24 August 2013; Accepted 19 October 2013

Academic Editor: Suh-Yuh Yang

Copyright © 2013 Jilian Wu 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

We discuss several stabilized finite element methods, which are penalty, regular, multiscale enrichment, and local Gauss integration method, for the steady incompressible flow problem with damping based on the lowest equal-order finite element space pair. Then we give the numerical comparisons between them in three numerical examples which show that the local Gauss integration method has good stability, efficiency, and accuracy properties and it is better than the others for the steady incompressible flow problem with damping on the whole. However, to our surprise, the regular method spends less CPU-time and has better accuracy properties by using Crout solver.