A ROBUST FINITE-ELEMENT METHOD FOR A SINGULARLY PERTURBED ELLIPTIC PROBLEM WITH 2 SMALL PARAMETERS

Authors
LI J
Citation
J. Li, A ROBUST FINITE-ELEMENT METHOD FOR A SINGULARLY PERTURBED ELLIPTIC PROBLEM WITH 2 SMALL PARAMETERS, Computers & mathematics with applications (1987), 36(7), 1998, pp. 91-110
Citations number
15
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications (1987) → ACNP
ISSN journal
08981221
Volume
36
Issue
7
Year of publication
1998
Pages
91 - 110
Database
ISI
SICI code
0898-1221(1998)36:7<91:ARFMFA>2.0.ZU;2-7
Abstract
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 co nverges independently of small parameters. Numerical results show that our method perform much better than the classical FEM. Published by E lsevier Science Ltd.