Perfectly Matched Layers and Harmoniously Matched Layers: a numerical comparison for 2D acoustic propagation in heterogeneous media

Laurence Halpern (1) , Ludovic Métivier (2) , Jeffrey Rauch (3)

1 LAGA - Laboratoire Analyse, Géométrie et Applications
2 EDP - Equations aux Dérivées Partielles
3 Department of Mathematics - University of Michigan

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.

Domaines: Analyse numérique [math.NA]; Physique Numérique [physics.comp-ph]

Laurence Halpern, Ludovic Métivier, Jeffrey Rauch. Perfectly Matched Layers and Harmoniously Matched Layers: a numerical comparison for 2D acoustic propagation in heterogeneous media. WAVES 2013 - 11th International Conference on Mathematical and Numerical Aspects of Waves, Jun 2013, Tunis, Tunisia. ⟨hal-00826612⟩