Boundary integral method for scattering problems with cracks buried in a piecewise homogeneous medium |
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| Authors: | Guozheng Yan Jianguo Ye |
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| Institution: | 1. Faculty of Mathematics and Statistics, Central China Normal University, , Wuhan, 430079 China;2. Department of Mathematics, Kashigar Teachers College, , China |
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| Abstract: | We consider the scattering of time‐harmonic acoustic plane waves by a crack buried in a piecewise homogeneous medium. The integral representation for a solution is obtained in the form of potentials by using Green's formula. The density in potentials satisfies the uniquely solvable Fredholm integral equation. Then we obtain the existence and uniqueness of the solution. Copyright © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | Helmholtz equation scattering problem boundary integral equation |
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