Supercloseness of the HDG method on Shishkin mesh for a singularly
perturbed convection diffusion problem in 2D
Supercloseness of the HDG method on Shishkin mesh for a singularly
perturbed convection diffusion problem in 2D
This paper presents the first analysis of parameter-uniform convergence for a hybridizable discontinuous Galerkin (HDG) method applied to a singularly perturbed convection-diffusion problem in 2D using a Shishkin mesh. The primary difficulty lies in accurately estimating the convection term in the layer, where existing methods often fall short. To address …