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利用正则化方法求解浅海声波散射问题 被引量:2

A REGULARIZATION METHOD FOR ACOUSTIC WAVE SCATTERING PROBLEM IN SHALLOW OCEANS
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摘要 讨论了浅海中波导的声波散射问题,我们将该问题归结为一个第一类边界积分方程,利用正则化方法求解,并证明了该方法的收敛性,数值例子表明了该方法的简单与有效性。 The problem of a time-harmonic acoustic wave scattering from a cylindrical object in shallow oceans is discussed. We formulate the scattering problem into a boundary integral equation and solve it by regularization method, the convergence is proved. The siven numerrical examples show that this method is both accurate and simple to use.
机构地区 西北大学数学系
出处 《纯粹数学与应用数学》 CSCD 1998年第4期11-16,共6页 Pure and Applied Mathematics
关键词 正则化方法 声波 散射 浅海 积分方程 regularizition acoustic wave scattering
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参考文献7

  • 1Ahluwalia D and Keller J.Exact and asympototic representation of the sound field in a stratified ocean,Wave Propagation and Underwater Acoustics.Lecture Notes in Physics 70,Springer,Berlin,1977.
  • 2Yongzhi Xu and Yi Yan.An approximation boundary integral method for acoustic scattering in shallow oceans, J.Comp.Acoustics,1(1993).61-75.
  • 3Gilbert R.P and Yongzhi Xu.Dense sets and the projection theorem for acoustic harmonic waves in homogeneous finite depth oceans.Meth.Methods in Appl.Sciences12(1989).69-76.
  • 4Gilbert R,P and Yongzhi Xu.The propagating problem and far-field patterns in a stratified finite depth ocean. Meth.Methods in Appl. Siences,12(1990),199-208.
  • 5Yongzhi Xu.The propagating solution and far field patterns for acoustic harmonic waves in a finite depth ocean.Applicable Analysis 35(1990),129-151.
  • 6Colton D and Kress R.Integrel Equation Methods in Scattering Theory. Wiley-Intescience Publication,New York, 1983.
  • 7Colton D and Kress R.Inverse Acoustic and Electromagnetic Scattering Theory.Spring-Verlag,1992.

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