PMLs: A direct approach
Name
PML Direct approach.pdf
Size
249.03 KB
Format
Adobe PDF
Checksum (MD5)
6dca4dc8397f231c6909a7c3926a0d4b
Author(s)
Kausel, Eduardo A.
Oliveira Barbosa, Joao Manuel de
Date Issued
December 2011
Journal
International Journal for Numerical Methods in Engineering
Publisher
Wiley Blackwell
Citation
Kausel, Eduardo, and Joao Manuel Oliveira Barbosa. “PMLs: A Direct Approach.” International Journal for Numerical Methods in Engineering 90.3 (2012): 343–352.
Version
Author's final manuscript
Abstract
This brief article outlines a new and rather simple method for obtaining the finite element matrices for a perfectly matched layer used for elastic wave propagation in the context of a frequency-domain formulation. For this purpose, we introduce a fairly mild simplification, which allows applying the stretching functions directly to the mass and stiffness matrices obtained via conventional methods (i.e., elastic elements), a novel strategy that allows circumventing the use of integration via Gaussian quadrature. In essence, the technique proposed herein is equivalent to a direct application of the method of weighted residuals in stretched space, followed by a conversion of the linear dimensions into position-dependent complex-values. Most importantly, numerical tests demonstrate that the technique does work as intended, and in fact, splendidly so.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1002/nme.3322
