Multigrid methods for Morley element on nonnested meshes

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	Multigrid methods for Morley element on nonnested meshes
	Shi, ZC ; Xie, ZH
	1998-09-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	16 期号:5 页码:385-394
摘要	In this paper, we consider some multigrid algorithms for the biharmonic problem discretized by Morley element on nonnested meshes. Through taking the averages of the nodal variables we construct an intergrid transfer operator that satisfies a certain stable approximation property. The so-called regularity-approximation assumption is then established. Optimal convergence properties of the W-cycle and a uniform condition number estimate for the variable V-cycle preconditioner are presented. This technique is applicable to other nonconforming plate elements.
关键词	multigrid method Morley element nonnested meshes
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000076271500001
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/13884
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. Multigrid methods for Morley element on nonnested meshes[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,1998,16(5):385-394.
APA	Shi, ZC,&Xie, ZH.(1998).Multigrid methods for Morley element on nonnested meshes.JOURNAL OF COMPUTATIONAL MATHEMATICS,16(5),385-394.
MLA	Shi, ZC,et al."Multigrid methods for Morley element on nonnested meshes".JOURNAL OF COMPUTATIONAL MATHEMATICS 16.5(1998):385-394.