Finite-difference modeling of elastic wave propagation: A nonsplitting perfectly matched layer approach

By Tsili Wang, Xiaoming Tang. 2003

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Unsplit complex frequency-shifted PML implementation using auxiliary differential equations for seismic wave modeling (2010, methodology): “…coordinate stretching Chew and Weedon, 1994; Teixeira and Chew, 2000 have led to unsplit-field PML implementations involving convolution terms Wang and Tang, 2003; Komatitsch and Martin, 2007 , integral Manuscript received by the Editor 10 December 2009; revised manuscript received 15…”
The Newmark scheme as velocity–stress time-staggering: an efficient PML implementation for spectral element simulations of elastodynamics (2005, background): “…& Liu 1996; Hastings et al. 1996; Liu & Tao 1997; Collino & Tsogka 2001; Festa & Nielsen 2003; Komatitsch & Tromp 2003; Marcinkovich & Olsen 2003; Wang & Tang 2003), anisotropic elasticity (Collino & Tsogka 2001; Bécache et al. 2003), poroelasticity (Zeng et al. 2001) and viscoelasticity (Basu…”
An unsplit convolutional perfectly matched layer improved at grazing incidence for the seismic wave equation (2007, methodology): “The first issue has been addressed in literature in the case of Maxwell’s equations e.g., Gedney, 1996; Veihl and Mittra, 1996; Zhao and Cangellaris, 1996; Sullivan, 1997; Berenger, 2002b or the elastic wave equation e.g., Wang and Tang, 2003; Rahmouni, 2004; Drossaert and Giannopoulos, 2007b.”