Title
L∞ estimation of the LDG method for 1-d singularly perturbed convection-diffusion problems
Document Type
Article
Publication Title
Discrete and Continuous Dynamical Systems - Series B
Abstract
Pointwise error estimates of the local discontinuous Galerkin (LDG) method for a one-dimensional singularly perturbed problem are studied. Several uniform L∞ error bounds for the LDG approximation to the solution and its derivative are established on a Shishkin-type mesh. Numerical experiments are presented.
First Page
1493
Last Page
1505
DOI
10.3934/dcdsb.2013.18.1493
Publication Date
7-1-2013
Recommended Citation
Zhu, Huiqing and Lin, Runchang, "L∞ estimation of the LDG method for 1-d singularly perturbed convection-diffusion problems" (2013). Mathematics & Physics Faculty Publications. 14.
https://rio.tamiu.edu/math_physics_facpubs/14
