L^∞ Estimation of the LDG Method for 1-D Singularly Perturbed Convection-Diffusion Problems

Authors

Huiqing Zhu, University of Southern MississippiFollow
Runchang Lin, Texas A&M International UniversityFollow

Document Type

Article

Publication Date

7-1-2013

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

Pointwise error estimates of the local discontinuous Galerkin (LDG) method for a one-dimensional singularly perturbed problem are studied. Several uniform L-infinity error bounds for the LDG approximation to the solution and its derivative are established on a Shishkin-type mesh. Numerical experiments are presented.

Publication Title

Discrete and Continuous Dynamical Systems: Series B

Volume

18

Issue

5

First Page

1493

Last Page

1505

Recommended Citation

Zhu, H., Lin, R. (2013). L^∞ Estimation of the LDG Method for 1-D Singularly Perturbed Convection-Diffusion Problems. Discrete and Continuous Dynamical Systems: Series B, 18(5), 1493-1505.
Available at: https://aquila.usm.edu/fac_pubs/7682