Numerical Solutions to Acoustic Scattering in Shallow Oceans by Periodic Wavelets

  • Wei Lin
  • Xianbiao Wang
Part of the International Society for Analysis, Applications and Computation book series (ISAA, volume 5)

Abstract

In this paper the approximate solution to the problem of a time-harmonic acoustic wave scattering from a obeject with a sound soft surface in a shallow ocean is investigated by means of wavelets. We reduce the problem into a boundary integral equation in which the kernel function is an infinite series. The Daubechies orthonormal wavelet basis is periodized and its corresponding properties are discussed. The kernel function first is truncated approximately and then is approximated via periodic wavelet. Error estimates are obtained and convergence discussions are given. Finally some numerical examples are presented.

Keywords

Kernel Function Green Function Boundary Integral Equation Helmholtz Equation Infinite Series 
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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Wei Lin
    • 1
  • Xianbiao Wang
    • 1
  1. 1.Department of MathematicsZhongshan UniversityGuangzhouPeople’s Republic of China

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