The local discontinuous Galerkin method is studied for a singularly perturbed problem with
two parameters. We use a layer-adapted mesh in terms of mesh generating functions, which …

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 …

We present and analyze a discontinuous Petrov--Galerkin method with optimal test functions
for a reaction-dominated diffusion problem in two and three space dimensions. We start with …

A generalized finite element method (FEM) is proposed for solving a heterogeneous
reaction-diffusion equation with a singular perturbation parameter, based on locally …

We prove deep neural network (DNN for short) expressivity rate bounds for solution sets of a
model class of singularly perturbed, elliptic two-point boundary value problems, in Sobolev …

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 new finite element method is presented for a general class of singularly perturbed reaction-
diffusion problems-ε^ 2\varDelta u+ bu= f-ε 2 Δ u+ bu= f posed on bounded …

For the spectral fractional diffusion operator of order 2 s, s∈(0, 1), in bounded, curvilinear
polygonal domains Ω⊂ R 2 we prove exponential convergence of two classes of hp …

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 …

We consider a fourth order singularly perturbed boundary value problem (BVP) in one-
dimension and the approximation of its solution by the hp version of the Finite Element …