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DC Field | Value | Language |
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dc.contributor.author | Chandler-Wilde, SN | - |
dc.contributor.author | Ross, CR | - |
dc.coverage.spatial | 10 | en |
dc.date.accessioned | 2008-05-12T13:50:52Z | - |
dc.date.available | 2008-05-12T13:50:52Z | - |
dc.date.issued | 1994 | - |
dc.identifier.citation | Maths Technical Papers (Brunel University). June 1994 , pp 1-8 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/2190 | - |
dc.description.abstract | We consider the two-dimensional Dirichlet boundary value problem for the Helmholtz equation in a non-locally perturbed half-plane. We look for a solution in the form of a double-layer potential using, as fundamental solution, the Green's function for the impedance half-plane. This leads to a boundary integral equation which can be solved for any bounded and continuous boundary data provided the boundary itself does not differ too much from the flat boundary {(x1,h) ∈ R2 : x1 ∈ R} (h > 0). We show this by calculating the symbol of the integral operator in the integral equa- tion in the flat boundary case, and then using standard operator perturbation results. Continuous dependence of the solution on the shape of the boundary is shown. | en |
dc.format.extent | 212961 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Brunel University | en |
dc.relation.ispartof | Brunel University Mathematics Technical Papers collection; | - |
dc.title | Scattering by one-dimensional rough surfaces | en |
dc.type | Research Paper | en |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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File | Description | Size | Format | |
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TR_10_94.pdf | 207.97 kB | Adobe PDF | View/Open |
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