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	Fast multipole BEM for 3D elastostatic problems with applications for thin structures
	Zhao Libin ; Yao Zhenhan
	2010-05-07 ; 2010-05-07
关键词	Theoretical or Mathematical/ boundary-elements methods computational complexity elasticity elastoplasticity plates (structures) shells (structures) structural engineering computing/ fast multipole boundary element method Taylor series multipole expansion thin structures 3D elastostatic problems shell structures/ A4630J Viscoelasticity, plasticity, viscoplasticity, creep, and stress relaxation A4630C Elasticity A0260 Numerical approximation and analysis C7440 Civil and mechanical engineering computing C4185 Finite element analysis E2110 Mechanical structures E0210L Numerical analysis E0410H Mechanical engineering applications of IT
中文摘要	The fast multipole method (FMM) has been used to reduce the computing operations and memory requirements in large numerical analysis problems. In this paper, the FMM based on Taylor expansions is combined with the boundary element method (BEM) for three-dimensional elastostatic problems to solve thin plate and shell structures. The fast multipole boundary element method (FM-BEM) requires O(N) operations and memory for problems with N unknowns. The numerical results indicate that for the analysis of thin structures, the FM-BEM is much more efficient than the conventional BEM and the accuracy achieved is sufficient for engineering applications.
语种	英语 ; 英语
出版者	Editorial Board of J. of Tsinghua University ; China
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/15864]
专题	清华大学
推荐引用方式 GB/T 7714	Zhao Libin,Yao Zhenhan. Fast multipole BEM for 3D elastostatic problems with applications for thin structures[J],2010, 2010.
APA	Zhao Libin,&Yao Zhenhan.(2010).Fast multipole BEM for 3D elastostatic problems with applications for thin structures..
MLA	Zhao Libin,et al."Fast multipole BEM for 3D elastostatic problems with applications for thin structures".(2010).

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