Article ID Journal Published Year Pages File Type
4641076 Journal of Computational and Applied Mathematics 2009 20 Pages PDF
Abstract

Our fundamental solution method gives an analytic representation of the approximate solution for the reduced wave problem in the exterior region of a disc. The asymptotic behavior of this representation yields an approximate formula for the scattering amplitude. An error estimate for this formula is given. We add two numerical tests: the numerical estimate of errors; and profiles of scattering cross sections and the far-field coefficient. Both tests include cases of high wave numbers.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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