Interior superconvergence error estimates for mixed finite element methods for second order elliptic problem
β Scribed by Luo Ping; Liao Xiaohai
- Book ID
- 110611727
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 1999
- Tongue
- English
- Weight
- 330 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0168-9673
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## 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
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.