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浅海声波散射问题的周期小波逼近 被引量:3

Approximate Solutions to Acoustic Scattering in Shallow Oceans by Periodic Wavelets
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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. 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.
作者 王先彪 李星
出处 《宁夏大学学报(自然科学版)》 CAS 北大核心 2008年第4期317-319,336,共4页 Journal of Ningxia University(Natural Science Edition)
基金 国家自然科学基金资助项目(1066109) 湖北省重点学科机械电子工程部分资助项目(080202)
关键词 声波扩散 周期小波 核函数 acoustic scattering periodic wavelet kernel function
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