TY  - GEN
T1  - A Fourier transform based scheme for the Helmholtz equation
A1  - Köhl,Mirjam
Y1  - 2011/12/02
N2  - 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.
CY  - Saarbrücken
PB  - Universitäts- und Landesbibliothek
AD  - Postfach 151141, 66041 Saarbrücken
UR  - http://scidok.sulb.uni-saarland.de/volltexte/2011/4402
ER  -