## The Local Discontinuous Galerkin Method For Time-Dependent Convection-Diffusion Systems (1998)

by
Bernardo Cockburn
,
CHI-WANG SHU

Citations: | 119 - 18 self |

### BibTeX

@MISC{Cockburn98thelocal,

author = {Bernardo Cockburn and CHI-WANG SHU},

title = {The Local Discontinuous Galerkin Method For Time-Dependent Convection-Diffusion Systems},

year = {1998}

}

### Years of Citing Articles

### OpenURL

### Abstract

this paper, we study the Local Discontinuous Galerkin methods for nonlinear, time-dependent convection-diffusion systems. These methods are an extension of the Runge-Kutta Discontinuous Galerkin methods for purely hyperbolic systems to convection-diffusion systems and share with those methods their high parallelizability, their high-order formal accuracy, and their easy handling of complicated geometries, for convection dominated problems. It is proven that for scalar equations, the Local Discontinuous Galerkin methods are L