Perfectly Matched Layers and Harmoniously Matched Layers: a numerical comparison for 2D acoustic propagation in heterogeneous media
Résumé
The Harmoniously Matched Layers (HML) were introduced by Halpern et al. in 2011 for general hyperbolic operators. This method is based on an extrapolation of solutions using first-order layers. For constant coefficient problems, its numerical performances are comparable to those of Bérenger's PML while preserving the strong well-posedness of the hyperbolic system. In homogeneous media, the PML are nonreflecting and absorbing. This is no longer true in heterogeneous media. In that case, other methods may become more attractive. Numerical experiments involving the propagation of 2D acoustic waves in an inhomogeneous medium show smaller amplitude reflections at the interface for the HML.
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