Recently, Kellogg, Linss and Stynes [1
Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems I: Reaction-diffusion Type
β Scribed by J. Li; I.M. Navon
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 649 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
In this paper, we construct a bilinear finite element method based on a special piecewise uniform mesh for solving a quasi-linear singularly perturbed elliptic problem in two space dimensions. A quasi-optimal global uniform convergence rate O(N~ 2 In 2 N= + N~ "2 In 2 Nv) was obtained, which is ind
The p-version of the finite element method is applied to solve the singularly perturbed two-point boundary value problem with or without turning point. With the special choice of mesh points, global error estimates are derived. In some cases, the exponential rate of convergence is obtained. Some num
This paper continues our discussion for the anisotropic model problem-(e o--~x-{-o--~ ) + a(z, y)u = f(x, y) in [1]. There we constructed a bilinear finite element method on a Shishkin type mesh. The method was shown to be convergent, independent of the small parameter e, in the order of N -2 In 2