Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642427 | Journal of Computational and Applied Mathematics | 2008 | 16 Pages |
Abstract
In this paper we consider a singularly perturbed elliptic model problem with two small parameters posed on the unit square. The problem is solved numerically by the finite element method using piecewise linear or bilinear elements on a layer-adapted Shishkin mesh. We prove that method with bilinear elements is uniformly convergent in an energy norm. Numerical results confirm our theoretical analysis.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lj. Teofanov, H.-G. Roos,