An adaptive cellular updating scheme for the continuous-discontinuous cellular automaton method

doi:10.1016/j.apm.2017.01.060

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	An adaptive cellular updating scheme for the continuous-discontinuous cellular automaton method
	Pan, Peng-Zhi; Feng, Xia-Ting; Lv, Jia-He; Li, Shao-Jun; Yan, Fei
刊名	APPLIED MATHEMATICAL MODELLING
	2017
卷号	46 页码:1-15
关键词	Continuous discontinuous cellular automaton method Unbalanced force Discontinuous approximation Adaptive cellular updating scheme Computational efficiency
ISSN号	0307-904X
DOI	10.1016/j.apm.2017.01.060
英文摘要	The updating scheme is very important for cellular automata, which costs the vast majority of CPU time of the whole calculating process and dramatically influences the convergence rate, and the traditional node sequence scheme is often ineffective. Aimed at this issue, based on the unbalanced nodal force, an adaptive updating scheme for continuous discontinuous cellular automaton method is proposed in this paper. The cell whose unbalanced force is maximum is the first updating cell, and the next one is its neighbors whose unbalanced force is also maximum in all remain neighbors, and do the updating operation according to this scheme until the updating for all cells is finished. Theory and convergence of the present scheme is studied, then we can get the maximum calculating efficiency, and the computational expanse can be greatly improved. Some examples by different iteration schemes are shown to demonstrate that the present scheme is efficient and time saving. (C) 2017 Elsevier Inc. All rights reserved.
WOS研究方向	Engineering ; Mathematics ; Mechanics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000403742000001
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/4075]
专题	岩土力学所知识全产出_期刊论文岩土力学所知识全产出国家重点实验室知识产出_期刊论文
作者单位	Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn
推荐引用方式 GB/T 7714	Pan, Peng-Zhi,Feng, Xia-Ting,Lv, Jia-He,et al. An adaptive cellular updating scheme for the continuous-discontinuous cellular automaton method[J]. APPLIED MATHEMATICAL MODELLING,2017,46:1-15.
APA	Pan, Peng-Zhi,Feng, Xia-Ting,Lv, Jia-He,Li, Shao-Jun,&Yan, Fei.(2017).An adaptive cellular updating scheme for the continuous-discontinuous cellular automaton method.APPLIED MATHEMATICAL MODELLING,46,1-15.
MLA	Pan, Peng-Zhi,et al."An adaptive cellular updating scheme for the continuous-discontinuous cellular automaton method".APPLIED MATHEMATICAL MODELLING 46(2017):1-15.