The Hybrid perfectly matched layer (H-PML) is extended to simulate second order displacement-stress elastic wave equations. In this report, the simulation results with both H-PML and C-PML in isotropic and anisotropic media are compared. H-PML is capable of absorbing boundary reﬂections in both isotropic and anisotropic media, but the C-PML only works perfectly in isotropic media. The simulation results with H-PML for both ﬁrst order and second order elastic wave equations show its efﬁciency in boundary reﬂections suppression.
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