Solving the Dirichlet acoustic scattering problem for a surface with added bumps using the Green's function for the original surface
We solve the Dirichlet problem for acoustic scattering from a surface which has been perturbed by the addition of one or more bumps. We build the solution for the bumpy case using the Green's function for the unperturbed surface, and the solution of a local integral equation in which the integr...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202110027 |
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| Summary: | We solve the Dirichlet problem for acoustic scattering from a
surface which has been perturbed by the addition of one or more
bumps. We build the solution for the bumpy case using the Green's
function for the unperturbed surface, and the solution of a local
integral equation in which the integration is carried out only
over the added bumps. We conclude by giving an alternative
formulation of our method for the special case of a bump on a
plane. |
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| ISSN: | 0161-1712 1687-0425 |