Lestimation of the LDG method for 1-d singularly perturbed convection-diffusion problems

Citation data:

Discrete and Continuous Dynamical Systems - Series B, ISSN: 1531-3492, Vol: 18, Issue: 5, Page: 1493-1505

Publication Year:
2013
Usage 26
Abstract Views 26
Repository URL:
https://aquila.usm.edu/fac_pubs/7682
DOI:
10.3934/dcdsb.2013.18.1493
Author(s):
Zhu, Huiqing; Lin, Runchang
Publisher(s):
American Institute of Mathematical Sciences (AIMS)
Tags:
Mathematics; Local discontinuous Galerkin method; singular perturbation; Shishkin mesh; Physical Sciences and Mathematics
article description
Pointwise error estimates of the local discontinuous Galerkin (LDG) method for a one-dimensional singularly perturbed problem are studied. Several uniform Lerror bounds for the LDG approximation to the solution and its derivative are established on a Shishkin-type mesh. Numerical experiments are presented.