Stability of Radial Basis Collocation Method for Transient Dynamics

被引：0
|
作者：
罗汉中 [1 ]
陈俊贤 [2 ]
胡馨云 [3 ]
黄醒春 [1 ]
机构：
[1] School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiaotong University
[2] Mathematics Department,Tunghai University
[3] Civil and Environmental Engineering Department,University of California,Los Angeles (UCLA),los Angeles 90024,United States
来源：
Journal of Shanghai Jiaotong University(Science) | 2010年 / 15卷 / 05期
关键词：
radial basis collocation method (RBCM); stability analysis; von Neumann method;
D O I：
暂无
中图分类号：
O313 [动力学];
学科分类号：
080101 ;
摘要：
Strong form collocation with radial basis approximation is introduced for the numerical solution of transient dynamics.Von Neumann stability analysis of this radial basis collocation method is performed to obtain the stability conditions for second order wave equation with central difference temporal discretization.The shape parameter of the radial basis functions not only has strong influence on the spatial stability and accuracy,but also has profound influence on the temporal stability.Numerical studies are conducted and show reasonable agreement with stability analysis.Conclusions of selecting shape parameters as well as spatial discretization for solution stability are also presented.
引用
收藏
页码：615 / 621
页数：7
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