Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642269 | Journal of Computational and Applied Mathematics | 2008 | 9 Pages |
Abstract
This paper presents a new numerical method for the solution of exterior Helmholtz scattering problems, which is applicable to inhomogeneous exterior domains and a wide class of geometries. The algorithm is based on the pole condition, which is a general radiation condition and allows a treatment of exterior Helmholtz problems without an explicit knowledge of Green's functions or a series representation. Our algorithm is based on a numerical approximation of the singularities of a Laplace transform of the exterior solution. Numerical examples illustrate the performance of the method.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Frank Schmidt, Thorsten Hohage, Roland Klose, Achim Schädle, Lin Zschiedrich,