PMLs: A direct approach
Author(s)Kausel, Eduardo A.; Oliveira Barbosa, Joao Manuel de
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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.
DepartmentMassachusetts Institute of Technology. Department of Civil and Environmental Engineering
International Journal for Numerical Methods in Engineering
Kausel, Eduardo, and Joao Manuel Oliveira Barbosa. “PMLs: A Direct Approach.” International Journal for Numerical Methods in Engineering 90.3 (2012): 343–352.
Author's final manuscript