RBF collocation method and stability analysis for phononic crystals

被引：0
作者：
Chunqiu Wei
Zhizhong Yan
Hui Zheng
Chuanzeng Zhang
机构：
[1] Beijing Institute of Technology,School of Mathematics and Statistics
[2] Beijing Institute of Technology,Beijing Key Laboratory on MCAACI
[3] University of Siegen,Department of Civil Engineering
来源：
Applied Mathematics and Mechanics | 2016年 / 37卷
关键词：
radial basis function (RBF); phononic crystal (PC); stability; O29; O34; 65M70;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The mesh-free radial basis function (RBF) collocation method is explored to calculate band structures of periodic composite structures. The inverse multi-quadric (MQ), Gaussian, and MQ RBFs are used to test the stability of the RBF collocation method in periodic structures. Much useful information is obtained. Due to the merits of the RBF collocation method, the general form in this paper can easily be applied in the high dimensional problems analysis. The stability is fully discussed with different RBFs. The choice of the shape parameter and the effects of the knot number are presented.
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页码：627 / 638
页数：11
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