Exponentially Fitted Local Discontinuous Galerkin Method for Convection-Diffusion Problems
Tao Yu 1, Xingye Yue 21 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.
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