@Article{NMTMA-10-44,
author = {Yunhui Yin, Peng zhu and Bin Wang},
title = {Analysis of a Streamline-Diffusion Finite Element Method on Bakhvalov-Shishkin Mesh for Singularly Perturbed Problem},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2017},
volume = {10},
number = {1},
pages = {44--64},
abstract = {<p style="text-align: justify;">In this paper, a bilinear Streamline-Diffusion finite element method on
Bakhvalov-Shishkin mesh for singularly perturbed convection-diffusion problem
is analyzed. The method is shown to be convergent uniformly in the perturbation
parameter $ϵ$ provided only that $ϵ ≤ N^{−1}$. An&nbsp;$\mathcal{O}(N^{−2}$(ln$N$)$^{1/2}$) convergent rate in
a discrete streamline-diffusion norm is established under certain regularity assumptions. Finally, through numerical experiments, we verified the theoretical results.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2017.y13026},
url = {http://global-sci.org/intro/article_detail/nmtma/12335.html}
}