Pole condition: A numerical method for Helmholtz-type scattering problems with inhomogeneous exterior domain |
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Authors: | Frank Schmidt,Thorsten Hohage,Roland Klose,Achim Schä dle,Lin Zschiedrich |
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Affiliation: | 1. ZIB Berlin, Takustr. 7, D-14195 Berlin, Germany;2. Institute for Numerical and Applied Mathematics, Georg-August-University, Göttingen, Lotzestr. 16–18, D-37083 Göttingen, Germany |
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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. |
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Keywords: | 65N35 |
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