Stability of perfectly matched layers, group velocities and anisotropic waves
By É. Bécache, S. Fauqueux, Patrick Joly. 2003
395 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/fc5d21de45e51218da5d333643ffa0967a050cdb
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- Dimitri Komatitsch
- Roland Martin
- Jeroen Tromp
- Wei Zhang
- Qinya Liu
- Yang Shen
- G. Festa
- Jean-Pierre Vilotte
Citations in the corpus
- Unsplit complex frequency-shifted PML implementation using auxiliary differential equations for seismic wave modeling (2010, methodology): “This technique can provide a stable PMLimplementation by choosing the parameters satisfying the geometric relations in anisotropic media Bécache et al., 2003 .”
- The Newmark scheme as velocity–stress time-staggering: an efficient PML implementation for spectral element simulations of elastodynamics (2005, background): “…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 & Chopra 2004).”
- An unsplit convolutional perfectly matched layer improved at grazing incidence for the seismic wave equation (2007, methodology): “The geometric condition is satisfied for all the slowness curves related to the qP-waves, and therefore the cause of the instabilities reported by Becache et al. 2003 comes from the violation of the high-frequency stability condition by the qS-waves.”
- A perfectly matched layer absorbing boundary condition for the second-order seismic wave equation (2003, background): “Secondly, as noted by Bécache et al. (2003), for some anisotropic media intrinsic instabilities appear, even though it could seem from eqs (2) and (13) that any anisotropic elastic tensor could be used.”
- A survey of finite element methods for time-harmonic acoustics (2006, background): “On the other hand, there are indications that some stability issues remain unresolved [47, 48 ], although little numerical evidence has been reported.”