Please use this identifier to cite or link to this item:
doi:10.22028/D291-26223
Title: | A Fourier transform based scheme for the Helmholtz equation |
Author(s): | Köhl, Mirjam |
Language: | English |
Year of Publication: | 2002 |
Free key words: | Dirichlet problem single- and double-layer potential |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | A new scheme based on the Fourier transform for the three-dimensional Helmholtz equation is introduced. We consider the boundary integral formulation for the Dirichlet boundary value problem and use the collocation boundary element method for the discretisation of the problem. In order to solve the resulting linear systems, the identity of the Fourier transform with respect to the wave number is applied to the associated matrices. We deduce the analytical forms and some important properties of the transformed matrices. Finally, some numerical examples for the solution are presented and we compare these with results using standard techniques. |
Link to this record: | urn:nbn:de:bsz:291-scidok-44026 hdl:20.500.11880/26279 http://dx.doi.org/10.22028/D291-26223 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 73 |
Date of registration: | 2-Dec-2011 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
Files for this record:
File | Description | Size | Format | |
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preprint_73_02.pdf | 287,2 kB | Adobe PDF | View/Open |
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