Uniform convergence of a weak Galerkin finite element method on Shishkin mesh for singularly perturbed convection-diffusion problems in 2D

Supercloseness of linear streamline diffusion finite element method on Bakhvalov-type mesh for singularly perturbed convection-diffusion equation in 1D

“…The WG method has been applied to all kinds of problems including Stokes equations [26,27,29], Maxwell's equations [16], Brinkman equations [15,28,31], fractional time convection-diffusion problems [21] and so on. For singular perturbed value problems, the WG method has also yielded some results, such as [9,23,24,22,34,36,33,3]. The main purpose of this paper is to present optimal order uniform convergence in the energy norm on Bakhvalov-type mesh for convection-dominated problems in 2D.…”