Solving an eigenvalue problem with a periodic domain using radial basis functions

被引：14

作者：

Hart, E. E. ^{[1
]}

Cox, S. J. ^{[1
]}

Djidjeli, K. ^{[1
]}

Kubytskyi, V. O. ^{[2
]}

机构：

[1] Univ Southampton, Sch Engn Sci, CED Grp, Southampton SO17 1BJ, Hants, England

[2] Kyiv Natl Taras Shevchenko Univ, Fac Phys, UA-03022 Kiev, Ukraine

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2009年 / 33卷 / 02期

关键词：

Compactly supported radial basis functions; Collocation method; Periodic boundary conditions; Eigenvalues; DATA APPROXIMATION SCHEME; MULTIQUADRICS;

D O I：

10.1016/j.enganabound.2008.04.009

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A meshless method based on radial basis functions (RBFs) is proposed for solving an eigenvalue problem with a periodic domain. We compare Wendland's and Wu's compactly supported RBFs. The computational experiments examine the accuracy of the method as a result of variation in the number and layout of the original points and in addition, the shape factor. The results obtained from the method are in good agreement with the analytical solutions of the problem. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：258 / 262

页数：5

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