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摘要
In this paper we consider the local discontinuous Galerkin method based on the generalized alternating numerical fluxes for solving the linear convection-diffusion equations in one dimension and two dimensions. As an application of generalized Gauss-Radau projections, we get rid of the dual argument and obtain directly the optimal L-2-norm error estimate in a uniform framework. The sharpness of the theoretical results is demonstrated by numerical experiments.
