Pointwise Error Estimates For the LDG Method Applied to 1-D Singularly Perturbed Reaction-Diffusion Problems
Mathematics and Natural Sciences
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.
Computational Methods in Applied Mathematics
(2013). Pointwise Error Estimates For the LDG Method Applied to 1-D Singularly Perturbed Reaction-Diffusion Problems. Computational Methods in Applied Mathematics, 13(1), 79-94.
Available at: https://aquila.usm.edu/fac_pubs/17919