In a recent work, Hiptmair [Mathematisches Institut, M9404, 1994] has constructed and analyzed a family of nonconforming mixed finite elements for second-order elliptic problems. However, his analysis does not work on the lowest order elements. In this article, we show that it is possible to constru
✦ LIBER ✦
OptimalL∞-estimates for a mixed finite element method for second order elliptic and parabolic problems
✍ Scribed by R. Scholz
- Book ID
- 110562608
- Publisher
- Springer Milan
- Year
- 1983
- Tongue
- English
- Weight
- 659 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0008-0624
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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__ ≤ ∞) error estimates betw