Year: 2012
Journal of Computational Mathematics, Vol. 30 (2012), Iss. 3 : pp. 298–310
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1110-m3537
Journal of Computational Mathematics, Vol. 30 (2012), Iss. 3 : pp. 298–310
Published online: 2012-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Exponentially fitted Local discontinuous Galerkin method Convection-diffusion problem.
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A direct discontinuous Galerkin method for the generalized Korteweg–de Vries equation: Energy conservation and boundary effect
Yi, Nianyu
Huang, Yunqing
Liu, Hailiang
Journal of Computational Physics, Vol. 242 (2013), Iss. P.351
https://doi.org/10.1016/j.jcp.2013.01.031 [Citations: 34]