Superconvergence for the Gradient of Finite Element Approximations by L 2 Projections
β Scribed by Heimsund, BjOrn-Ove; Tai, Xue-Cheng; Wang, Junping
- Book ID
- 118191111
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2002
- Tongue
- English
- Weight
- 381 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0036-1429
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## Abstract This paper considers the penalty finite element method for the Stokes equations, based on some stable finite elements space pair (__X__~__h__~, __M__~__h__~) that do satisfy the discrete infβsup condition. Theoretical results show that the penalty error converges as fast as one should e
## Abstract This article first recalls the results of a stabilized finite element method based on a local Gauss integration method for the stationary Stokes equations approximated by low equalβorder elements that do not satisfy the __infβsup__ condition. Then, we derive general superconvergence res