LOCAL MULTILEVEL METHODS WITH RECTANGULAR FINITE ELEMENTS FOR THE BIHARMONIC PROBLEM

doi:10.1137/17M111008X

	LOCAL MULTILEVEL METHODS WITH RECTANGULAR FINITE ELEMENTS FOR THE BIHARMONIC PROBLEM
	Tang, Shibing 1; Xu, Xuejun1,2
	2017
发表期刊	SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN	1064-8275
卷号	39 期号:6 页码:A2592-A2615
摘要	In this paper, some local multilevel methods are presented to solve the linear algebraic systems resulting from the application of adaptive conforming Bogner-Fox-Schmit rectangular element and nonconforming Adini rectangular element approximations to the biharmonic problem. The abstract Schwarz framework is applied to verify the uniform convergence of the local multilevel methods featuring Jacobi and Gauss-Seidel smoothing only on local nodes associated with the local refinements. By the abstract framework, a convergence estimate may also be derived from the stability of the space splitting and its strengthened Cauchy Schwarz inequality. We demonstrate the optimality of the proposed algorithms by extensive numerical experiments.
关键词	biharmonic problem Schwarz framework Bogner-Fox-Schmit element Adini element local multilevel method
DOI	10.1137/17M111008X
语种	英语
资助项目	National Natural Science Foundation of China[11671302]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000418659900019
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/27013
专题	计算数学与科学工程计算研究所
通讯作者	Tang, Shibing
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China 2.Tongji Univ, Sch Math Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Tang, Shibing,Xu, Xuejun. LOCAL MULTILEVEL METHODS WITH RECTANGULAR FINITE ELEMENTS FOR THE BIHARMONIC PROBLEM[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2017,39(6):A2592-A2615.
APA	Tang, Shibing,&Xu, Xuejun.(2017).LOCAL MULTILEVEL METHODS WITH RECTANGULAR FINITE ELEMENTS FOR THE BIHARMONIC PROBLEM.SIAM JOURNAL ON SCIENTIFIC COMPUTING,39(6),A2592-A2615.
MLA	Tang, Shibing,et al."LOCAL MULTILEVEL METHODS WITH RECTANGULAR FINITE ELEMENTS FOR THE BIHARMONIC PROBLEM".SIAM JOURNAL ON SCIENTIFIC COMPUTING 39.6(2017):A2592-A2615.