A new radial basis function for Helmholtz problems

被引：28
|
作者：
Lin, J. [1 ,2 ]
Chen, W. [2 ]
Sze, K. Y. [1 ]
机构：
[1] Univ Hong Kong, Dept Mech Engn, Pokfulam, Hong Kong, Peoples R China
[2] Hohai Univ, Coll Mech & Mat, Nanjing, Jiangsu, Peoples R China
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2012年 / 36卷 / 12期
关键词：
Radial basis function; Regularization technique; Helmholtz problem; BOUNDARY COLLOCATION METHOD; FUNDAMENTAL-SOLUTIONS; DIFFERENTIAL-EQUATIONS; MESHLESS METHOD; KNOT METHOD; CONVERGENCE; INTERPOLATION; CONVECTION; SCHEME;
D O I：
10.1016/j.enganabound.2012.07.010
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, a new radial basis function (RBF) is proposed to solve Helmholtz problems in the traditional collocation method. Since the matrix equation arising from the RBF interpolation is ill-conditioned, a regularized singular value decomposition method is used to obtain a more accurate solution. Numerical examples of both direct and inverse problems are presented to demonstrate the effectiveness and applicability of the proposed RBF versus the traditional multiquadric RBF. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1923 / 1930
页数：8
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