EXPONENTIALLY FITTED LOCAL DISCONTINUOUS GALERKIN METHOD FOR CONVECTION-DIFFUSION PROBLEMS  

作　　者：Tao Yu Xingye Yue 

机构地区：[1]Department of Mathematics and Physics,Jinggangshan University,Ji'an 343009,China [2]Department of Mathematics,Soochow University,Suzhou 215006,China

出　　处：《Journal of Computational Mathematics》2012年第3期298-310,共13页计算数学（英文）

摘　　要：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.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.

关 键 词：Exponentially fitted Local discontinuous Galerkin method Convection-diffusionproblem. 

分 类 号：O241.82[理学—计算数学] O175.1[理学—数学]