TY - JOUR
T1 - Exponentially Fitted Local Discontinuous Galerkin Method for Convection-Diffusion Problems
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 - <p style="text-align: justify;">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.</p>