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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.

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Metadaten
Author:Achim Schädle, Lin Zschiedrich
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
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