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	On the necessity and sufficiency of the patch test or convergence of nonconforming finite elements
	Wang, M
	2001
关键词	patch test nonconforming finite element superapproximation BIHARMONIC EQUATION
英文摘要	This paper proposes a weak patch test that improves both the patch test and the generalized patch test. Under a weak superapproximation assumption, which can be obtained from certain approximation and weak continuity property, it is shown that the weak patch test is equivalent to the generalized patch test. Thus if a nonconforming finite element passes the patch test and satis es some approximation and weak continuity property, its convergence is then guaranteed. Furthermore, the consistency term of such a nonconforming element can be proved to be of order O (h). It is shown that if a nonconforming element does not pass the patch test and a condition relative to subdividing a domain by the element is true, then one can nd a family of triangulations for which the element is divergent.; Mathematics, Applied; SCI(E); EI; 22; ARTICLE; 2; 363-384; 39
语种	英语
出处	EI ; SCI
出版者	siam journal on numerical analysis
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314242]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang, M. On the necessity and sufficiency of the patch test or convergence of nonconforming finite elements. 2001-01-01.

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