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Abstract.
The local discontinuous Galerkin method (LDG) is considered for
solving one-dimensional singularly perturbed two-point boundary
value problems of reaction-diffusion 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 
of the numerical traces is observed numerically.
Published Online: 2013-01-03
Published in Print: 2013-01-01
© 2013 by Walter de Gruyter Berlin Boston
