Lâ Estimation of the LDG Method for 1-D Singularly Perturbed Convection-Diffusion Problems
Mathematics and Natural Sciences
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.
Discrete and Continuous Dynamical Systems: Series B
(2013). Lâ Estimation of the LDG Method for 1-D Singularly Perturbed Convection-Diffusion Problems. Discrete and Continuous Dynamical Systems: Series B, 18(5), 1493-1505.
Available at: https://aquila.usm.edu/fac_pubs/7682