Title

Pointwise Error Estimates For the LDG Method Applied to 1-D Singularly Perturbed Reaction-Diffusion Problems

Document Type

Article

Publication Date

1-1-2013

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

The local discontinuous Galerkin method (LDG) is considered for solving one-dimensional singularly perturbed two-point boundary value problems of reactiondiffusion type. Pointwise error estimates for the LDG approximation to the solution and its derivative are established on a Shishkin-type mesh. Numerical experiments are presented. Moreover, a superconvergence of order 2k + 1 of the numerical traces is observed numerically. © 2013 Institute of Mathematics, NAS of Belarus.

Publication Title

Computational Methods in Applied Mathematics

Volume

13

Issue

1

First Page

79

Last Page

94

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