In this paper, we study the local discontinuous Galerkin （LDG） method for one- dimensional singularly perturbed convection-diffusion problems by an exponentially fitted technique. We prove that the method is uniform...In this paper, we study the local discontinuous Galerkin （LDG） method for one- dimensional singularly perturbed convection-diffusion problems by an exponentially fitted technique. We prove that the method is uniformly first-order convergent in the energy norm with respect to the small diffusion parameter.展开更多
文摘In this paper, we study the local discontinuous Galerkin （LDG） method for one- dimensional singularly perturbed convection-diffusion problems by an exponentially fitted technique. We prove that the method is uniformly first-order convergent in the energy norm with respect to the small diffusion parameter.
