L\u3csup\u3eâ\u3c/sup\u3e Estimation of the LDG Method for 1-D Singularly Perturbed Convection-Diffusion Problems
- Zhu, Huiqing
- Lin, Runchang
Publication date
July 2013
DOI Publisher
American Institute of Mathematical Sciences (AIMS)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
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