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Abstract and Applied Analysis
Volume 2014, Article ID 364675, 8 pages
Research Article

Comparison of SUPG with Bubble Stabilization Parameters and the Standard SUPG

1Department of Mathematics, Tongji University, Shanghai 200092, China
2School of Mathematical Sciences, Shandong Normal University, Jinan 250014, China

Received 23 February 2014; Accepted 13 May 2014; Published 2 June 2014

Academic Editor: Gerassimos Barbatis

Copyright © 2014 Xiaowei Liu and Jin Zhang. 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.


We study a streamline upwind Petrov-Galerkin method (SUPG) with bubble stabilization coefficients on quasiuniform triangular meshes. The new algorithm is a consistent Petrov-Galerkin method and shows similar numerical performances as the standard SUPG when the mesh Péclet number is greater than 1. Relationship between the new algorithm and the standard SUPG will be explored. Numerical experiments support these results.