Title

L-infinity ESTIMATION OF THE LDG METHOD FOR 1-D SINGULARLY PERTURBED CONVECTION-DIFFUSION PROBLEMS

Document Type

Article

Publication Date

7-1-2013

Department

Mathematics

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

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