TY - JOUR
T1 - Analysis of a Streamline-Diffusion Finite Element Method on Bakhvalov-Shishkin Mesh for Singularly Perturbed Problem
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 1
SP - 44
EP - 64
PY - 2017
DA - 2017/10
SN - 10
DO - http://doi.org/10.4208/nmtma.2017.y13026
UR - https://global-sci.org/intro/article_detail/nmtma/12335.html
KW - 
AB - <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>