RBF collocation method and stability analysis for phononic crystals

Chunqiu Wei; Zhizhong Yan; Hui Zheng; Chuanzeng Zhang

doi:10.1007/s10483-016-2076-8

RBF collocation method and stability analysis for phononic crystals

Chunqiu Wei
, Zhizhong Yan^*
, Hui Zheng
, Chuanzeng Zhang

^*此作品的通讯作者

数学学院

Beijing Institute of Technology
University of Siegen

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

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.

源语言	英语
页（从-至）	627-638
页数	12
期刊	Applied Mathematics and Mechanics (English Edition)
卷	37
期	5
DOI	https://doi.org/10.1007/s10483-016-2076-8
出版状态	已出版 - 1 5月 2016

访问文件

10.1007/s10483-016-2076-8

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{da4f5979496549468102dc8a9fee8377,

title = "RBF collocation method and stability analysis for phononic crystals",

abstract = "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.",

keywords = "phononic crystal (PC), radial basis function (RBF), stability",

author = "Chunqiu Wei and Zhizhong Yan and Hui Zheng and Chuanzeng Zhang",

note = "Publisher Copyright: {\textcopyright} 2016, Shanghai University and Springer-Verlag Berlin Heidelberg.",

year = "2016",

month = may,

day = "1",

doi = "10.1007/s10483-016-2076-8",

language = "English",

volume = "37",

pages = "627--638",

journal = "Applied Mathematics and Mechanics (English Edition)",

issn = "0253-4827",

publisher = "Springer China",

number = "5",

}

TY - JOUR

T1 - RBF collocation method and stability analysis for phononic crystals

AU - Wei, Chunqiu

AU - Yan, Zhizhong

AU - Zheng, Hui

AU - Zhang, Chuanzeng

PY - 2016/5/1

Y1 - 2016/5/1

N2 - 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.

AB - 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.

KW - phononic crystal (PC)

KW - radial basis function (RBF)

KW - stability

UR - https://www.scopus.com/pages/publications/84964388715

U2 - 10.1007/s10483-016-2076-8

DO - 10.1007/s10483-016-2076-8

M3 - Article

AN - SCOPUS:84964388715

SN - 0253-4827

VL - 37

SP - 627

EP - 638

JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

IS - 5

ER -

RBF collocation method and stability analysis for phononic crystals

摘要

访问文件

其它文件与链接

指纹

引用此