| 浅海声波散射问题的周期小波逼近 |
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| 引用本文： | 王先彪,李星.浅海声波散射问题的周期小波逼近[J].宁夏大学学报(自然科学版),2008,29(4). |
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| 作者姓名： | 王先彪 李星 |
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| 作者单位： | 1. 黄石理工学院,电气与电子信息工程学院,湖北,黄石,435003
2. 宁夏大学,数学计算机学院,宁夏,银川,750021 |
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| 基金项目： | 国家自然科学基金，湖北省重点学科机械电子工程部分资助项目 |
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| 摘 要： | 利用周期小波研究浅海声波散射问题的近似解.在获得问题的Green函数后,通过周期化Daubechies正交小波进行逼近,使对应核成为退化核,获得了较好的收敛性与误差估计.算例结果表明了方法的可行性.
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| 关 键 词： | 声波扩散 周期小波 核函数 |
Approximate Solutions to Acoustic Scattering in Shallow Oceans by Periodic Wavelets |
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| Wang Xianbiao,Li Xing.Approximate Solutions to Acoustic Scattering in Shallow Oceans by Periodic Wavelets[J].Journal of Ningxia University(Natural Science Edition),2008,29(4). |
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| Authors: | Wang Xianbiao Li Xing |
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| Abstract: | The approximate solution to the problem of a time-harmonic acoustic wave scattering from a object with a sound soft surface in a shallow ocean is investigated by means of wavelets.The Green function of the problem is obtained and then it is degenerated by approximation of periodic Daubechies orthonormal wavelet basis.Error estimates are obtained and convergence discussions are given.Numerical examples show that the method is feasible. |
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| Keywords: | acoustic scattering periodic wavelet kernel function |
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