@Article{IJNAM-16-255,
author = {Cheung , Siu Wun and Chung , Eric T.},
title = {An Embedded SDG  Method for the Convection-Diffusion Equation},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2018},
volume = {16},
number = {2},
pages = {255--275},
abstract = {<p style="text-align: justify;">In this paper, we present an embedded staggered discontinuous Galerkin method for
the convection-diffusion equation. The new method combines the advantages of staggered discontinuous
Galerkin (SDG) and embedded discontinuous Galerkin (EDG) method, and results in
many good properties, namely local and global conservations, free of carefully designed stabilization
terms or flux conditions and high computational efficiency. In applying the new method to
convection-dominated problems, the method provides optimal convergence in potential and suboptimal
convergence in flux, which is comparable to other existing DG methods, and achieves $L$<sup>2&nbsp;</sup>stability by making use of a skew-symmetric discretization of the convection term, irrespective of
diffusivity. We will present numerical results to show the performance of the method.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/12803.html}
}