Convolution PML (CPML): An efficient FDTD implementation of the CFS–PML for arbitrary media

By J. Roden, Stephen D. Gedney. 2000

1,305 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/45b73a1ca51b6d724fc29e1a204a33beb374de62

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In Aerospace Engineering

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Citations in the corpus

An unsplit convolutional perfectly matched layer improved at grazing incidence for seismic wave propagation in poroelastic media (2008, methodology): “The key idea of the PML Roden and Gedney, 2000 lies in finding a more general hoice for sx than that of equation 9 by introducing a real variable x 0 so that sx 1 dx x i .”
The Newmark scheme as velocity–stress time-staggering: an efficient PML implementation for spectral element simulations of elastodynamics (2005, background): “Since then, it has been intensively worked on in computational EMs (e.g. Chew & Weedon 1994; Sacks et al. 1995; Teixera & Chew 1997; Collino & Monk 1998; Teixeira & Chew 1998, 1999; Roden & Gedney 2000).”
Perfectly matched layer media with CFS for an unconditionally stable ADI-FDTD method (2001, methodology): “It was shown in [ 12 ] that these terms can be handled with high efficiency by employing the recursive convolutional procedure originally developed by Luebbers et al. [16].”
An hp-adaptive discontinuous Galerkin finite-element method for 3-D elastic wave modelling (2010, methodology): “Here, we present a low-order DG-FEM formulation with the convolutional perfectly matched layer (CPML) absorbing boundary condition (Roden & Gedney 2000; Komatitsch & Martin 2007) that is suitable for large-scale 3-”
Time-Domain Finite-Difference and Finite-Element Methods for Maxwell Equations in Complex Media (2008, methodology): “based on a CPML approach is presented in [289] and for dispersive media based on a -transform approach in [304].”
Unsplit complex frequency-shifted PML implementation using auxiliary differential equations for seismic wave modeling (2010, methodology): “According to Roden and Gedney 2000 , d, , and should be spatially scaled in the PML layer to reduce reflection errors in the discrete space.”
An Auxiliary Differential Equation Formulation for the Complex-Frequency Shifted PML (2010, methodology): “It was shown that a unit-step response solution of the ADE-CPML equations leads to identical update coefficients as Roden’s original CPML formulation [12].”
An unsplit convolutional perfectly matched layer technique improved at grazing incidence for the viscoelastic wave equation (2009, methodology): “As in Roden & Gedney (2000), we make αx , αy and αz vary linearly in the PML layer between a maximum value αmax at the beginning of the PML and zero at the top.”
Application of the CFS PML to the absorption of evanescent waves in waveguides (2002, methodology): “Some advantages of the CFS PML are, first, the strong absorption that can be realized with PMLs of only 8–12 cells in thickness and, second, the easy and effective FDTD implementation [7].”
An unsplit convolutional perfectly matched layer improved at grazing incidence for the seismic wave equation (2007, methodology): “This approach has been developed for Maxwell’s equations by Kuzuoglu and Mittra 1996 and Roden and Gedney 2000 and named convolutional-PML C-PML or complex frequency shifted-PML CFS-PML Berenger, 2002a, b. The key idea is that for waves whose incidence is close to normal, the presence of such a fi”
On the long-time behavior of unsplit perfectly matched layers (2004, background): “Later, one of the present authors (S. D. Gedney) [14], [ 15 ] described timedomain implementations of the unsplit PML employing this alternative scaling function, labeled it the “complex frequency shifted” scaling function (hereafter referred to as the CFS), and showed that its use is beneficial for”