@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} }