Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: the two-dimensional case with layer-upwind flux

Yao Cheng, Xuesong Wang, Martin Stynes

A singularly perturbed reaction-diffusion problem posed on the unit square in ${\mathbb{R}}^2$ is solved numerically by a local discontinuous Galerkin (LDG) finite element method. Ty…