Substructure preconditioners for nonconforming plate elements

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	Substructure preconditioners for nonconforming plate elements
	Shi, ZC ; Xie, ZH
	1998-07-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	16 期号:4 页码:289-304
摘要	In this paper, we consider the problem of solving finite element equations of biharmonic Dirichlet problems. We divide the given domain into non-overlapping subdomains, construct a preconditioner for Morley element by substructuring on the basis of a function decomposition for discrete biharmonic functions. The function decomposition is introduced by partitioning these finite element functions into the low and high frequency components through the intergrid transfer operators between coarse mesh and fine mesh, and the conforming interpolation operators. The method leads to a preconditioned system with the condition number bounded by C(1 + log(2) H/h) in the case with interior cross points, and by C in the case without interior cross points, where H is the subdomain size and h is the mesh size. These techniques are applicable to other nonconforming elements and are well suited to a parallel computation.
关键词	substructure preconditioner biharmonic equation nonconforming plate element
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000075469400001
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13455
专题	中国科学院数学与系统科学研究院
作者单位	1.Chinese Acad Sci, ICMSEC, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Inst Atmospher Phys, LASG, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Shi, ZC,Xie, ZH. Substructure preconditioners for nonconforming plate elements[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,1998,16(4):289-304.
APA	Shi, ZC,&Xie, ZH.(1998).Substructure preconditioners for nonconforming plate elements.JOURNAL OF COMPUTATIONAL MATHEMATICS,16(4),289-304.
MLA	Shi, ZC,et al."Substructure preconditioners for nonconforming plate elements".JOURNAL OF COMPUTATIONAL MATHEMATICS 16.4(1998):289-304.