Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641076 | Journal of Computational and Applied Mathematics | 2009 | 20 Pages |
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
Authors
Fumihiro Chiba, Teruo Ushijima,