Absorbing boundary conditions and perfectly matched layers in wave propagation problems

Frédéric Nataf (1, 2)

1 LJLL - Laboratoire Jacques-Louis Lions
2 ALPINES - Algorithms and parallel tools for integrated numerical simulations

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.

Domaines: Analyse numérique [math.NA]; Bibliothèque électronique [cs.DL]

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⟩