Journal article
Analysis of some mixed elements for the Stokes problem
Journal of computational and applied mathematics, Vol.85(1), pp.19-35
11/06/1997
DOI: 10.1016/S0377-0427(97)00120-9
Abstract
In this paper we discuss some mixed finite element methods related to the reduced integration penalty method for solving the Stokes problem. We prove optimal order error estimates for bilinear-constant and biquadratic-bilinear velocity-pressure finite element solutions. The result for the biquadratic-bilinear element is new, while that for the bilinear-constant element improves the convergence analysis of Johnson and Pitkaranta (1982). In the degenerate case when the penalty parameter is set to be zero, our results reduce to some related known results proved in by Brezzi and Fortin (1991) for the bilinear-constant element, and Bercovier and Pironneau (1979) for the biquadratic-bilinear element. Our theoretical results are consistent with the numerical results reported by Carey and Krishnan (1982) and Oden et al. (1982).
Details
- Title: Subtitle
- Analysis of some mixed elements for the Stokes problem
- Creators
- Xiao-liang ChengWeimin Han - University of Iowa, MathematicsHong-ci Huang
- Resource Type
- Journal article
- Publication Details
- Journal of computational and applied mathematics, Vol.85(1), pp.19-35
- DOI
- 10.1016/S0377-0427(97)00120-9
- ISSN
- 0377-0427
- eISSN
- 1879-1778
- Language
- English
- Date published
- 11/06/1997
- Academic Unit
- Mathematics
- Record Identifier
- 9983986092202771
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