J. Comp. Math., 30 (2012), pp. 298-310.

Exponentially Fitted Local Discontinuous Galerkin Method for Convection-Diffusion Problems

Tao Yu 1, Xingye Yue 2

1 Department of Mathematics and Physics, Jinggangshan University, Ji'an 343009, China
2 Department of Mathematics, Soochow University, Suzhou 215006, China

Received 2010-10-04 Accepted 2011-10-09
Available online 2012-5-7


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.

Key words: Exponentially fitted, Local discontinuous Galerkin method, Convection-diffusion problem.

AMS subject classifications: 65N30.

Email: yutao@jgsu.edu.cn, xyyue@Suda.edu.cn

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