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
Quasioptimal uniformly convergent finite element methods for the elliptic boundary layer problem
β Scribed by J. Li
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 532 KB
- Volume
- 33
- 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 coupling of the Sobolev space gradient method and the finite element method is developed. The Sobolev space gradient method reduces the solution of a quasilinear elliptic problem to a sequence of linear Poisson equations. These equations can be solved numerically by an appropriate finite element