2 papers
math.NA2023
Uniform convergence of optimal order of a local discontinuous Galerkin method on a Shishkin mesh under a balanced norm
Xiaoqi Ma, Jin Zhang, Wenchao Zheng
This article investigates a local discontinuous Galerkin (LDG) method for one-dimensional and two-dimensional singularly perturbed reaction-diffusion problems on a Shishkin mesh. D…
math.NA2022
Uniform convergence of optimal order under a balanced norm of a local discontinuous Galerkin method on a Shishkin mesh
Jin Zhang, Wenchao Zheng
For singularly perturbed reaction-diffusion problems in 1D and 2D, we study a local discontinuous Galerkin (LDG) method on a Shishkin mesh. In these cases, the standard energy norm…