@Article{IJNAM-10-4,
author = {},
title = {Uniform Convergence of a Coupled Method for Convection-Diffusion Problems in 2-D Shishkin Mesh},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2013},
volume = {10},
number = {4},
pages = {845--859},
abstract = {<p style="text-align: justify;">In this paper, we introduce a coupled approach of local discontinuous Galerkin (LDG) and continuous finite element method (CFEM) for solving singularly perturbed convection-diffusion
problems. When the coupled continuous-discontinuous linear FEM is used under the Shishkin
mesh, a uniform convergence rate $O(N^{-1}ln N)$ in an associated norm is established, where $N$ is
the number of elements. Numerical experiments complement the theoretical results. Moreover, a
uniform convergence rate $O(N^{-2})$ in $L^2$ norm, is observed numerically on the Shishkin mesh.</p>},
issn = {2617-8710},
doi = {https://doi.org/2013-IJNAM-599},
url = {https://global-sci.com/article/83436/uniform-convergence-of-a-coupled-method-for-convection-diffusion-problems-in-2-d-shishkin-mesh}
}