Numerical Solutions to Acoustic Scattering in Shallow Oceans by Periodic Wavelets
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.
KeywordsKernel Function Green Function Boundary Integral Equation Helmholtz Equation Infinite Series
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