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A new integral equation approach to the Neumann problem in acoustic scattering

✍ Scribed by P. A. Krutitskii

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
97 KB
Volume
24
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We suggest a new approach of reduction of the Neumann problem in acoustic scattering to a uniquely solvable Fredholm integral equation of the second kind with weakly singular kernel. To derive this equation we placed an additional boundary with an appropriate boundary condition inside the scatterer. The solution of the problem is obtained in the form of a single layer potential on the whole boundary. The density in the potential satisfies a uniquely solvable Fredholm integral equation of the second kind and can be computed by standard codes. Copyright Β© 2001 John Wiley & Sons, Ltd.

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