@Article{JCM-29-227,
author = {Xianggui Li, Xijun Yu and Guangnan Chen},
title = {Error Estimates of the Finite Element Method with Weighted Basis Functions for a Singularly Perturbed Convection-Diffusion Equation},
journal = {Journal of Computational Mathematics},
year = {2011},
volume = {29},
number = {2},
pages = {227--242},
abstract = {<p style="text-align: justify;">In this paper, we establish a convergence theory for a finite element method with weighted basis functions for solving singularly perturbed convection-diffusion equations. The stability of this finite element method is proved and an upper bound $\mathcal{O}(h|\ln \varepsilon |^{3/2})$ for errors in the approximate solutions in the energy norm is obtained on the triangular Bakhvalov-type mesh. Numerical results are presented to verify the stability and the convergent rate of this finite element method.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1009-m3113},
url = {http://global-sci.org/intro/article_detail/jcm/8475.html}
}