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Abstract and Applied Analysis
Volume 2014, Article ID 102940, 8 pages
http://dx.doi.org/10.1155/2014/102940
Research Article

Characteristics Weak Galerkin Finite Element Methods for Convection-Dominated Diffusion Problems

School of Mathematical Sciences, Shandong Normal University, Jinan 250014, China

Received 14 March 2014; Accepted 12 May 2014; Published 27 May 2014

Academic Editor: Xinan Hao

Copyright © 2014 Ailing Zhu 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

The weak Galerkin finite element method is combined with the method of characteristics to treat the convection-diffusion problems on the triangular mesh. The optimal order error estimates in and norms are derived for the corresponding characteristics weak Galerkin finite element procedure. Numerical tests are performed and reported.