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Boundary integral method for scattering problems with cracks buried in a piecewise homogeneous medium

Guozheng Yan, Jianguo Ye

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Source: Crossref

Published: Dec 29, 2011

DOI: 10.1002/mma.1539

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Source 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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Boundary integral method for scattering problems with cracks buried in a piecewise homogeneous medium — Mathematical Frontier Network