Abstract By using the general framework introduced in Arnod et al. and the new method dealting with the nonlinear convection term, the error estimates of three-step implicit-explicit hpLDG method for nonlinear convection diffusion problems are obtained. The numerical example for the nonlinear Burgers equation is presented in the paper. The numerical results verify the theoretical results obtained in this paper.
YOU Tong-shun. The three-step implicit-explicit hp-local discontinuous Galerkin finite element method for nonlinear convection diffusion problems. Applied Mathematics A Journal of Chinese Universities, 2016, 31(4): 491-500.
