Interior and superconvergence estimates for a primal hybrid finite element method for second order elliptic problems
β Scribed by J. Douglas; C. P. Gupta; Guang-Yu Li
- Book ID
- 110562439
- Publisher
- Springer Milan
- Year
- 1985
- Tongue
- English
- Weight
- 641 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0008-0624
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π SIMILAR VOLUMES
This paper derives a superconvergence result for finite volume approximations of the second order elliptic problem by using a L 2 projection post-processing technique. The superconvergence result is applicable to different kind of finite volume methods and to general quasi-uniform meshes.
## 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__ β€ β) error estimates betw