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The Discontinuous Galerkin Method (DGM) was initially introduced by Reed and Hill in 1973 \cite{dg:reedhill:73} as a technique to solve neutron transport problems. Lesaint \cite{dg:lesaintraviart:75} presented the first numerical analysis of the method for a linear advection equation. However, the technique lay dormant for several years and has only recently become popular as a method for solving fluid dynamics or electromagnetic problems \cite{dg:book}. The DGM is somewhere between a finite element and a finite volume method and has many good features of both.
DG is written in C++ and it uses AOMD for mesh management. DG works in parallel and uses both mesh refinement and load balancing capabilities of AOMD.
We use orthogonal basis for spatial discretization [1] and a local time stepping procedure for time discretization [2]. We have also introduced a new method to discretize viscous fluxes using DG.
 

Jean-Francois Remacle