On the long-time behavior of unsplit perfectly matched layers

By Eliane Bécache, P. Petropoulos, Stephen D. Gedney. IEEE Transactions on Antennas and Propagation, 2004

159 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/9d78d6bdcca01af36eab63e3cb79b181deba6181

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

In Electrical and Electronic Engineering

Citations in the corpus

An unsplit convolutional perfectly matched layer technique improved at grazing incidence for the viscoelastic wave equation (2009, methodology): “…shifted CPML to experimentally test the numerical stability of CPML, because it is known that in numerous PML models, for instance in the case of Maxwell’s equations, weak or strong instabilities can develop for long simulations (Abarbanel et al. 2002; Bécache & Joly 2002; Bécache et al. 2004).”
An unsplit convolutional perfectly matched layer improved at grazing incidence for seismic wave propagation in poroelastic media (2008, background): “It is known that in numerous ML models e.g., Maxwell’s equations , weak r strong instabilities can develop for long simuations e.g., Abarbanel et al., 2002; Bécache and oly, 2002; Bécache et al., 2004 .”
Stability of perfectly matched layers, group velocities and anisotropic waves (2003, unknown): “In particular, this concept of stability does not exclude a linear growth as the one studied in [2,4] for Maxwell s equations.”
An unsplit convolutional perfectly matched layer improved at grazing incidence for the seismic wave equation (2007, background): “Indeed, we know that in many PML models, for example in the case of Maxwell’s equations, weak or strong instabilities can develop at longer times e.g., Abarbanel et al., 2002; Becache and Joly, 2002; Becache et al., 2004 .”
An hp-adaptive discontinuous Galerkin finite-element method for 3-D elastic wave modelling (2010, background): “Instabilities of PML in long time simulations have been studied in electromagnetics (Abarbanel et al. 2002; Bécache et al. 2004).”
A Perfectly Matched Layer absorbing boundary condition for linearized Euler equations with a non-uniform mean flow (2005, background): “Other alternative forms of (1) are possible, such as the one given in [4] for long time stability, but they will not alter the basic arguments provided below.”
Explicit finite element perfectly matched layer for transient three‐dimensional elastic waves (2009, background): “the critical step size to an unreasonably small value; if correct, this observation could provide an alternate explanation of the long-time instability observed in some PML formulations [55, 56].”