We study the local discontinuous Galerkin (LDG) method on layer-adapted meshes for
singularly perturbed problems. For these problems of reaction-diffusion type, the balanced …

In this paper, we propose a weak Galerkin finite element method (WG-FEM) for solving
nonlinear boundary value problems of reaction–diffusion type on a Bakhvalov-type mesh. A …

A balanced norm, rather than the common energy norm, is introduced to reflect the behavior
of layers more accurately in the finite element method for singularly perturbed reaction …

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 …

A singularly perturbed reaction–diffusion problem posed on the unit square in R 2 is
considered. To solve this problem numerically, a finite volume method (FVM) whose primal …

We consider a singularly perturbed time-dependent problem with a shift term in space. On
appropriately defined layer adapted meshes of Durán-and S-type we derive a-priori error …

A singularly perturbed reaction–diffusion problem in 1D is solved numerically by a local
discontinuous Galerkin (LDG) finite element method. For this type of problem the standard …

For the error analysis of singularly perturbed reaction-diffusion problems, the balanced
norm, which is stronger than the usual energy norm, is introduced to correctly reflect the …

So far uniform pointwise error estimate of the local discontinuous Galerkin (LDG) method for
the singularly perturbed reaction-diffusion problems is only known in the one-dimensional …

The goal of this paper is to provide almost robust approximations of singularly perturbed
reaction-diffusion equations in two dimensions by using finite elements on graded meshes …