Abstract
In Sect. 2.6 of the previous chapter we have studied the scattering of plane waves by balls. In this chapter we investigate the same problem for arbitrary shapes. To treat this boundary value problem we introduce the boundary integral equation method which reformulates the boundary value problem in terms of an integral equation on the boundary of the region. For showing existence of a solution of this integral equation we will apply the Riesz-Fredholm theory.
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Kirsch, A., Hettlich, F. (2015). Scattering from a Perfect Conductor. In: The Mathematical Theory of Time-Harmonic Maxwell's Equations. Applied Mathematical Sciences, vol 190. Springer, Cham. https://doi.org/10.1007/978-3-319-11086-8_3
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DOI: https://doi.org/10.1007/978-3-319-11086-8_3
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