Transmission operators for the non-overlapping Schwarz method for solving Helmholtz problems in rectangular cavities

@article{Marsic2022TransmissionOF,
  title={Transmission operators for the non-overlapping Schwarz method for solving Helmholtz problems in rectangular cavities},
  author={Nicolas Marsic and Christophe Geuzaine and Herbert De Gersem},
  journal={ArXiv},
  year={2022},
  volume={abs/2205.06518}
}
In this paper we discuss different transmission operators for the non-overlapping Schwarz method which are suited for solving the time-harmonic Helmholtz equation in cavities ( i.e. closed domains which do not feature an outgoing wave condition). Such problems are heavily impacted by back-propagating waves which are often neglected when devising optimized transmission operators for the Schwarz method. This work explores new operators taking into account those back-propagating waves and compares… 

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