Absorbing boundary conditions and perfectly matched layers in wave propagation problems

Frédéric Nataf 1, 2
2 ALPINES - Algorithms and parallel tools for integrated numerical simulations
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, INSMI - Institut National des Sciences Mathématiques et de leurs Interactions
Abstract : In this article we discuss different techniques to solve numerically wave propagation phenomena in unbounded domains. We present in a unified and simple way the two ways to restrict the computation to a finite domain: absorbing (or artificial) boundary conditions (ABC) and perfectly matched layers (PML). The intent is to give the possibility to the reader to grasp easily similarities and differences between these two truncation techniques. It should also allow the reader to adapt a truncation technique to the peculiarities of his physical modeling.
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Frédéric Nataf. Absorbing boundary conditions and perfectly matched layers in wave propagation problems. Direct and Inverse problems in Wave Propagation and Applications, 14, de Gruyter, pp.219-231, 2013, Radon Ser. Comput. Appl. Math., 978-3-11-028228-3. ⟨hal-00799759⟩

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