Turkel, E.; Yefet, A. Absorbing PML boundary layers for wave-like equations. (English) Zbl 0933.35188 Appl. Numer. Math. 27, No. 4, 533-557 (1998). Summary: We consider absorbing layers that are extensions of the PML of J. P. Berenger [J. Comput. Phys. 114, No. 2, 185-200 (1994; 814.65129)]. These will be constructed both for time problems and for Helmholtz-like equations. We consider applications to electricity, magnetism and acoustics (with a mean flow) in both physical space and in the time Fourier space (Helmholtz equation). Numerical results are presented showing the efficiency of this condition for the time dependent Maxwell equations. Cited in 130 Documents MSC: 35Q60 PDEs in connection with optics and electromagnetic theory 78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 76Q05 Hydro- and aero-acoustics Keywords:Helmholtz equation; artificial boundary conditions; computational electromagnetics; Maxwell equations Citations:Zbl 0814.65129 PDFBibTeX XMLCite \textit{E. Turkel} and \textit{A. Yefet}, Appl. Numer. Math. 27, No. 4, 533--557 (1998; Zbl 0933.35188) Full Text: DOI References: [1] Abarbanel, S.; Gottlieb, D., A mathematical analysis of the PML method, J. Comput. Phys., 134, 357-363 (1997) · Zbl 0887.65122 [2] Abarbanel, S.; Gottlieb, D., On the construction and analysis of absorbing layers in CEM, (Appl. Numer. Math., 27 (1998)), 331-340, (this issue) · Zbl 0924.35160 [3] S. Abarbanel, D. 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