A robust finite element method for a singularly perturbed elliptic problem with two small parameters

In this paper, we consider a bilinear Finite Element Method (FEM) for a singularly perturbed elliptic problem with two small parameters. By using Butuzov asymptotic expansion [1] and the technique we developed in [2–4], we prove that our FEM on a special piecewise uniform mesh converges independently of small parameters. Numerical results show that our method perform much better than the classical FEM. Published by Elsevier Science Ltd.