Superconvergence of finite element approximations for the Stokes problem by -projection methods
β Scribed by Jari, Rabeea; Mu, Lin; Ye, Xiu
- Book ID
- 122664461
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 240 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0096-3003
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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
In this paper, we focus on a local superconvergence analysis of the finite element method for the Stokes equations by local projections. The local and global superconvergence results of finite element solutions are provided for the Stokes problem under some corresponding regularity assumptions. Conc