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The computation of resonances in open systems using a perfectly matched layer
2009
Mathematics of Computation
In this paper, we consider the problem of computing resonances in open systems. We first characterize resonances in terms of (improper) eigenfunctions of the Helmholtz operator on an unbounded domain. The perfectly matched layer (PML) technique has been successfully applied to the computation of scattering problems. We shall see that the application of PML converts the resonance problem to a standard eigenvalue problem (still on an infinite domain). This new eigenvalue problem involves an
doi:10.1090/s0025-5718-09-02227-3
fatcat:3dlm7ywihfgmbnmsns5s4brthq