Solving time-harmonic scattering problems based on the pole condition. II: Convergence of the PML method
2003 | journal article. A publication with affiliation to the University of Göttingen.
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- Authors
- Hohage, Thorsten ; Schmidt, Frank; Zschiedrich, Lin
- Abstract
- In this paper we study the PML method for Helmholtz-type scattering problems with radially symmetric potential. The PML method consists of surrounding the computational domain with a perfectly matched sponge layer. We prove that the approximate solution obtained by the PML method converges exponentially fast to the true solution in the computational domain as the thickness of the sponge layer tends to infinity. This is a generalization of results by Lassas and Somersalo based on boundary integral equation techniques. Here we use techniques based on the pole condition instead. This makes it possible to treat problems without an explicitly known fundamental solution.
- Issue Date
- 2003
- Journal
- SIAM Journal on Mathematical Analysis
- Organization
- Institut für Numerische und Angewandte Mathematik
- Working Group
- RG Hohage (Inverse Problems)
- Language
- English