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	Upper spectral bounds and a posteriori error analysis of several mixed finite element approximations for the Stokes eigenvalue problem
	Yang YiDu ; Jiang Wei ; Jiang W(姜伟)
刊名	http://dx.doi.org/10.1007/s11425-013-4582-4
	2013
关键词	NUMERICAL EIGENVALUES SELF-ADJOINT EXPANSIONS ESTIMATORS EQUATIONS SCHEMES
英文摘要	National Natural Science Foundation of China [10761003]; Science and Technology Foundation of Guizhou Province of China [[2011] 2111]; This paper discusses conforming mixed finite element approximations for the Stokes eigenvalue problem. Firstly, several mixed finite element identities are proved. Based on these identities, the following new results are given: (1) It is proved that the numerical eigenvalues obtained by mini-element, P (1)-P (1) element and Q (1)-Q (1) element approximate the exact eigenvalues from above. (2) As for the P (1)-P (1), Q (1)-Q (1) and Q (1)-P (0) element eigenvalues, the asymptotically exact a posteriori error indicators are presented. (3) The reliable and efficient a posteriori error estimator proposed by Verfurth is applied to mini-element eigenfunctions. Finally, numerical experiments are carried out to verify the theoretical analysis.
语种	英语
出版者	SCIENCE PRESS
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91893]
专题	物理技术－已发表论文
推荐引用方式 GB/T 7714	Yang YiDu,Jiang Wei,Jiang W. Upper spectral bounds and a posteriori error analysis of several mixed finite element approximations for the Stokes eigenvalue problem[J]. http://dx.doi.org/10.1007/s11425-013-4582-4,2013.
APA	Yang YiDu,Jiang Wei,&姜伟.(2013).Upper spectral bounds and a posteriori error analysis of several mixed finite element approximations for the Stokes eigenvalue problem.http://dx.doi.org/10.1007/s11425-013-4582-4.
MLA	Yang YiDu,et al."Upper spectral bounds and a posteriori error analysis of several mixed finite element approximations for the Stokes eigenvalue problem".http://dx.doi.org/10.1007/s11425-013-4582-4 (2013).

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