Optimal convergence of local discontinuous Galerkin methods for convection-diffusion equations

Wenjie Liu, Ruiyi Xie, Li-Lian Wang +1

The $hp$ local discontinuous Galerkin (LDG) method proposed by Castillo et al. [Math. Comp.,~71 (238): 455-478, 2002] has been shown to be an efficient approach for solving convect…