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Volume 30, Issue 3
Exponentially Fitted Local Discontinuous Galerkin Method for Convection-Diffusion Problems

Tao Yu & Xingye Yue

DOI: 10.4208/jcm.1110-m3537

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

Published online: 2012-06

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  • 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.

  • Keywords

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

  • AMS Subject Headings

65N30.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-30-298, author = {Tao Yu and Xingye Yue}, title = {Exponentially Fitted Local Discontinuous Galerkin Method for Convection-Diffusion Problems}, journal = {Journal of Computational Mathematics}, year = {2012}, volume = {30}, number = {3}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1110-m3537}, url = {http://global-sci.org/intro/article_detail/jcm/8431.html} }
TY - JOUR T1 - Exponentially Fitted Local Discontinuous Galerkin Method for Convection-Diffusion Problems AU - Tao Yu & Xingye Yue JO - Journal of Computational Mathematics VL - 3 SP - 298 EP - 310 PY - 2012 DA - 2012/06 SN - 30 DO - http://doi.org/10.4208/jcm.1110-m3537 UR - https://global-sci.org/intro/article_detail/jcm/8431.html KW - Exponentially fitted, Local discontinuous Galerkin method, Convection-diffusion problem. AB -

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.

Tao Yu and Xingye Yue. (2012). Exponentially Fitted Local Discontinuous Galerkin Method for Convection-Diffusion Problems. Journal of Computational Mathematics. 30 (3). 298-310. doi:10.4208/jcm.1110-m3537
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