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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202110027 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850221245721739264 |
|---|---|
| author | Maxim J. Goldberg Seonja Kim |
| author_facet | Maxim J. Goldberg Seonja Kim |
| author_sort | Maxim J. Goldberg |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-702285cd6ecf461fb690ddd5d0895dc3 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-702285cd6ecf461fb690ddd5d0895dc32025-08-20T02:06:46ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01311168769410.1155/S0161171202110027Solving the Dirichlet acoustic scattering problem for a surface with added bumps using the Green's function for the original surfaceMaxim J. Goldberg0Seonja Kim1Physical Sciences Department, York College of Pennsylvania, York 17405, PA, USASchool of Computer Science and Information Systems, Fairleigh Dickinson University, 1000 River Road, Mail Code T-BE2-01, Teaneck 07666, NJ, USAWe 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.http://dx.doi.org/10.1155/S0161171202110027 |
| spellingShingle | Maxim J. Goldberg Seonja Kim Solving the Dirichlet acoustic scattering problem for a surface with added bumps using the Green's function for the original surface International Journal of Mathematics and Mathematical Sciences |
| title | Solving the Dirichlet acoustic scattering problem for a surface with added bumps using the Green's function for the original surface |
| title_full | Solving the Dirichlet acoustic scattering problem for a surface with added bumps using the Green's function for the original surface |
| title_fullStr | Solving the Dirichlet acoustic scattering problem for a surface with added bumps using the Green's function for the original surface |
| title_full_unstemmed | Solving the Dirichlet acoustic scattering problem for a surface with added bumps using the Green's function for the original surface |
| title_short | Solving the Dirichlet acoustic scattering problem for a surface with added bumps using the Green's function for the original surface |
| title_sort | solving the dirichlet acoustic scattering problem for a surface with added bumps using the green s function for the original surface |
| url | http://dx.doi.org/10.1155/S0161171202110027 |
| work_keys_str_mv | AT maximjgoldberg solvingthedirichletacousticscatteringproblemforasurfacewithaddedbumpsusingthegreensfunctionfortheoriginalsurface AT seonjakim solvingthedirichletacousticscatteringproblemforasurfacewithaddedbumpsusingthegreensfunctionfortheoriginalsurface |