@Article{IJNAM-6-4,
author = {Proft, J. and Rivière, B.},
title = {Discontinuous Galerkin Methods for Convection-Diffusion Equations for Varying and Vanishing Diffusivity},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2009},
volume = {6},
number = {4},
pages = {533--561},
abstract = {<p style="text-align: justify;">This work formulates and analyzes a new family of discontinuous
Galerkin methods for the time-dependent convection-diffusion equation with
highly varying diffusion coefficients, that do not require the use of slope limiting
techniques. The proposed methods are based on the standard NIPG/SIPG
techniques, but use special diffusive numerical fluxes at some important interfaces.
The resulting numerical solutions have an $L^2$ error that is significantly
smaller than the error obtained with standard discontinuous Galerkin methods.
Theoretical convergence results are also obtained.</p>},
issn = {2617-8710},
doi = {https://doi.org/2009-IJNAM-783},
url = {https://global-sci.com/article/83667/discontinuous-galerkin-methods-for-convection-diffusion-equations-for-varying-and-vanishing-diffusivity}
}