@Article{AAMM-7-2,
author = {Yanping, Chen and Leng, Haitao and Liu, Li-Bin},
title = {Error Analysis for a Non-Monotone FEM for a Singularly Perturbed Problem with Two Small Parameters},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2015},
volume = {7},
number = {2},
pages = {196--206},
abstract = {<p style="text-align: justify;">In this paper, we consider a singularly perturbed convection-diffusion problem.
The problem involves two small parameters that gives rise to two boundary layers
at two endpoints of the domain. For this problem, a non-monotone finite element
methods is used. A priori error bound in the maximum norm is obtained. Based on
the a priori error bound, we show that there exists Bakhvalov-type mesh that gives
optimal error bound of&nbsp;$\mathcal{O}(N^{−2})$ which is robust with respect to the two perturbation
parameters. Numerical results are given that confirm the theoretical result.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2013.m399},
url = {https://global-sci.com/article/73391/error-analysis-for-a-non-monotone-fem-for-a-singularly-perturbed-problem-with-two-small-parameters}
}