Abstract
Integral equation methods play an important role in classical scattering theory. This is primarily due to the fact that the mathematical formulation of obstacle scattering problems leads to boundary value problems defined over unbounded domains. Hence their reformulation in terms of boundary integral equations not only reduces the dimensionality of the problem, but also replaces a problem over an unbounded domain by one over a bounded domain. From a numerical point of view both these advantages have made the integral equation methods basic tools for the approximate solution of obstacle scattering problems.
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Kress, R. (1997). Integral Equation Methods in Inverse Obstacle Scattering. In: Morino, L., Wendland, W.L. (eds) IABEM Symposium on Boundary Integral Methods for Nonlinear Problems. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5706-3_21
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DOI: https://doi.org/10.1007/978-94-011-5706-3_21
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