Neural network model for solving integral equation of acoustic scattering using wavelet basis

被引:3
作者
Hesham, M. [1 ]
El-Gamal, M. A. [1 ]
机构
[1] Cairo Univ, Fac Engn, Dept Engn Math & Phys, Giza 12613, Egypt
来源
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2008年 / 24卷 / 03期
关键词
neural networks; Daubechies wavelet family; method of moments (MoM); non-uniqueness; characteristic wave number; Galerkin's method; CHIEF; wavelet-based sparsification; integral equations; acoustic scattering; Helmholtz integral equation;
D O I
10.1002/cnm.966
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this work, neural networks (NNs) are trained in order to obtain a fast and efficient solution of the integral equation of acoustic scattering. Wavelets sparsification methods are utilized to reduce the NN size and complexity. The non-uniqueness problem which arises in solving this integral equation at characteristic frequencies can, also, be solved using such network without any additional computational load. Experimental results show excellent agreement between the NN-based solution and the analytical solution of a spherical scatterer. Copyright (C) 2006 John Wiley & Sons, Ltd.
引用
收藏
页码:183 / 194
页数:12
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