ANALYSIS OF A ONE-DIMENSIONAL NONLOCAL QUASI-CONTINUUM METHOD

doi:10.1137/080725842

	ANALYSIS OF A ONE-DIMENSIONAL NONLOCAL QUASI-CONTINUUM METHOD
	Ming, Pingbing1 ; Yang, Jerry Zhijian 2
	2009
发表期刊	MULTISCALE MODELING & SIMULATION
ISSN	1540-3459
卷号	7 期号:4 页码:1838-1875
摘要	The accuracy of the quasi-continuum method is analyzed using a series of models with increasing complexity. It is demonstrated that the existence of the ghost force may lead to large errors. It is also shown that the ghost force removal strategy proposed by E, Lu, and Yang leads to a version of the quasi-continuum method with uniform accuracy.
关键词	quasi-continuum method ghost force geometrically consistent scheme
DOI	10.1137/080725842
语种	英语
资助项目	National Natural Science Foundation of China[10571172] ; National Natural Science Foundation of China[10871197] ; National Basic Research Program[2005CB321704]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000270192800014
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/8342
专题	计算数学与科学工程计算研究所
通讯作者	Ming, Pingbing
作者单位	1.Chinese Acad Sci, AMSS, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Rochester Inst Technol, Sch Math Sci, Rochester, NY 14623 USA
推荐引用方式 GB/T 7714	Ming, Pingbing,Yang, Jerry Zhijian. ANALYSIS OF A ONE-DIMENSIONAL NONLOCAL QUASI-CONTINUUM METHOD[J]. MULTISCALE MODELING & SIMULATION,2009,7(4):1838-1875.
APA	Ming, Pingbing,&Yang, Jerry Zhijian.(2009).ANALYSIS OF A ONE-DIMENSIONAL NONLOCAL QUASI-CONTINUUM METHOD.MULTISCALE MODELING & SIMULATION,7(4),1838-1875.
MLA	Ming, Pingbing,et al."ANALYSIS OF A ONE-DIMENSIONAL NONLOCAL QUASI-CONTINUUM METHOD".MULTISCALE MODELING & SIMULATION 7.4(2009):1838-1875.