@Article{NMTMA-1-2,
author = {},
title = {Uniform Convergence Analysis for Singularly Perturbed Elliptic Problems with Parabolic Layers},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2008},
volume = {1},
number = {2},
pages = {138--149},
abstract = {<p style="text-align: justify;">In this paper, using Lin&#39;s integral identity technique, we
prove the optimal uniform convergence
 $O(N_x^{-2}\ln^2N_x+N_y^{-2}\ln^2N_y)$ in the $L^2$-norm
 for singularly perturbed problems with parabolic layers.
The error estimate is achieved by bilinear finite elements on a
Shishkin type mesh. Here $N_x$ and $N_y$ are the number of elements
in the $x$- and $y$-directions, respectively. Numerical results are
provided supporting our theoretical analysis.</p>},
issn = {2079-7338},
doi = {https://doi.org/2008-NMTMA-6045},
url = {https://global-sci.com/article/90774/uniform-convergence-analysis-for-singularly-perturbed-elliptic-problems-with-parabolic-layers}
}