Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/2178
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chandler-Wilde, SN | - |
dc.coverage.spatial | 12 | en |
dc.date.accessioned | 2008-05-12T10:38:36Z | - |
dc.date.available | 2008-05-12T10:38:36Z | - |
dc.date.issued | 1994 | - |
dc.identifier.citation | Maths Technical Papers (Brunel University). June 1994, pp 1-10 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/2178 | - |
dc.description.abstract | The Dirichlet and impedance boundary value problems for the Helmholtz equation in a half-plane with bounded continuous boundary data are studied. For the Dirichlet problem the solution can be constructed explicitly. We point out that, for wavenumbers k > 0, the solution, although it satisfies a limiting absorption principle, may increase in magnitude with distance from the boundary. Using the explicit solution we propose a novel radiation condition which we utilise in formulating the impedance boundary value problem. By reformulating this problem as a boundary integral equation we prove uniqueness and existence of solution for a certain range of admissable impedance boundary data. | en |
dc.format.extent | 304698 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 | Boundary value problems for the Helmholtz equation in a half-plane | en |
dc.type | Research Paper | en |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
TR_11_94.pdf | 297.56 kB | Adobe PDF | View/Open |
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.