@Article{IJNAM-15-6,
author = {Yao, Cheng and Zhang, Qiang and Wang, Haijin},
title = {Local Analysis of the Local Discontinuous Galerkin Method with the Generalized Alternating Numerical Flux for Two-Dimensional Singularly Perturbed Problem},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2018},
volume = {15},
number = {6},
pages = {785--810},
abstract = {<p style="text-align: justify;">In this paper, we analyze the local discontinuous Galerkin method with the generalized
alternating numerical flux for two-dimensional singularly perturbed problem with outflow
boundary layers. By virtue of the two-dimensional generalized Gauss-Radau projection and energy
technique with suitable weight function, we obtain the double-optimal error estimate, namely,
the convergence rate in L2-norm out of the outflow boundary layer is optimal, and the width
of boundary layer is quasi-optimal, when piecewise tensor product polynomial space on quasi-uniform
Cartesian meshes are used. Numerical experiments are given to verify the theoretical
results.</p>},
issn = {2617-8710},
doi = {https://doi.org/2018-IJNAM-12609},
url = {https://global-sci.com/article/83149/local-analysis-of-the-local-discontinuous-galerkin-method-with-the-generalized-alternating-numerical-flux-for-two-dimensional-singularly-perturbed-problem}
}