GHOST FORCE INFLUENCE OF A QUASICONTINUUM METHOD IN TWO DIMENSION

	GHOST FORCE INFLUENCE OF A QUASICONTINUUM METHOD IN TWO DIMENSION
	Chen Jingrun; Ming Pingbing
	2012
发表期刊	Journal of Computational Mathematics
ISSN	0254-9409
卷号	30 期号:6 页码:657
摘要	The error caused by the ghost force is studied for a quasicontinuum method with planar interface in two dimension. For a special case, we derive an analytical expression of the error, which is exploited to prove that the ghost force may lead to a finite size error for the gradient of the solution. The pointwise estimate of the error shows that the error decays algebraically away from the interface, which is much slower than that of the one-dimensional problem, for which the error decays exponentially away from the interface.
语种	英语
资助项目	[National Natural Science Foundation of China] ; [Creative Research Groups of China] ; [CAS National Center for Mathematics and Interdisciplinary Sciences]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/37533
专题	计算数学与科学工程计算研究所
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Chen Jingrun,Ming Pingbing. GHOST FORCE INFLUENCE OF A QUASICONTINUUM METHOD IN TWO DIMENSION[J]. Journal of Computational Mathematics,2012,30(6):657.
APA	Chen Jingrun,&Ming Pingbing.(2012).GHOST FORCE INFLUENCE OF A QUASICONTINUUM METHOD IN TWO DIMENSION.Journal of Computational Mathematics,30(6),657.
MLA	Chen Jingrun,et al."GHOST FORCE INFLUENCE OF A QUASICONTINUUM METHOD IN TWO DIMENSION".Journal of Computational Mathematics 30.6(2012):657.