𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems I: Reaction-diffusion Type

✍ Scribed by J. Li; I.M. Navon


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
649 KB
Volume
35
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A global uniformly convergent finite ele
✍ Jichun Li; I.M. Navon πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 551 KB

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 meth
✍ Jiuhua Chen πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 772 KB

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

Global pointwise error estimates for uni
✍ J. Li πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 416 KB

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