GHOST FORCE INFLUENCE OF A QUASICONTINUUM METHOD IN TWO DIMENSION  

作　　者：Jingrun Chen Pingbing Ming 

机构地区：[1]South Hall 6705, Mathematics Department, University of California, Santa Barbara, CA93106, USA ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China [2]LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

出　　处：《Journal of Computational Mathematics》2012年第6期657-683,共27页计算数学（英文）

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.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.

关 键 词：Quasicontinuum method Ghost force Interracial layer. 

分 类 号：O33[理学—一般力学与力学基础] TP391.41[理学—力学]