Title
Alternating evolution discontinuous Galerkin methods for convection-diffusion equations
Abstract
In this work, we propose a high order alternating evolution discontinuous Galerkin (AEDG) method to solve convection-diffusion equations. The difficulties related to numerical fluxes of DG methods for diffusion problems have been a major issue of investigation in the literature. The AEDG scheme presented here is based on an alternating evolution system for convection-diffusion equations, and therefore no numerical fluxes are needed in the scheme formulation. Moreover, the method is shown to be consistent, conservative and stable. Numerical experiments are provided to show the goodness of the proposed method.
Year
DOI
Venue
2016
10.1016/j.jcp.2015.12.017
Journal of Computational Physics
Keywords
Field
DocType
discontinuous galerkin
Discontinuous Galerkin method,Convection–diffusion equation,Mathematical optimization,Mathematical analysis,Mathematics
Journal
Volume
Issue
ISSN
307
C
0021-9991
Citations 
PageRank 
References 
2
0.40
9
Authors
2
Name
Order
Citations
PageRank
Hailiang Liu1488.03
Michael Pollack271.22