Additive Schwarz method for scattering problems using the PML method at interfaces
Please always quote using this URN: urn:nbn:de:0297-zib-8613
- Scattering problems in integrated optics can be modeled in simple cases by the Helmholtz equation. The computational domain is truncated by a non-reflecting boundary condition. We investigate Schwarz algorithms with a sort of DtN operator, realized by the PML-method, at the interfaces of the sub-domains as an iterative solver.
Author: | Achim Schädle, Lin Zschiedrich |
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Document Type: | ZIB-Report |
Tag: | Helmholtz equation; domain decomposition; perfectly matched layer; scattering |
MSC-Classification: | 65-XX NUMERICAL ANALYSIS / 65Nxx Partial differential equations, boundary value problems / 65N55 Multigrid methods; domain decomposition |
Date of first Publication: | 2005/04/20 |
Series (Serial Number): | ZIB-Report (05-27) |
ZIB-Reportnumber: | 05-27 |
Published in: | Appeared in: Domain Decomposition Methods in Science and Engineering XVI. Eds. Olof B. Widlund and David E. Keyes. Lecture Notes in Computational Science and Engineering, 55. Springer, 2007, pp. 205-212 |