Error estimates for the finite element solutions of a nonlinear elliptic problem
✍ Scribed by G. Bognńr
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 320 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
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
## Abstract We treat the finite volume element method (FVE) for solving general second order elliptic problems as a perturbation of the linear finite element method (FEM), and obtain the optimal __H__^1^ error estimate, __H__^1^ superconvergence and __L__^__p__^ (1 < __p__ ≤ ∞) error estimates betw