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• W43398569 abstract "In this paper we establish the stability and convergence of the time-domain perfectly matched layer (PML) method for solving the acoustic scattering problems. We flrst prove the well-posedness and the stability of the time-dependent acoustic scattering problem with the Dirichlet-to-Neumann boundary condition. Next we show the well-posedness of the unsplit-fleld PML method for the acoustic scattering problems. Then we prove the exponential convergence of the non-splitting PML method in terms of the thickness and medium property of the artiflcial PML layer. The proof depends on a stability result of the PML system for constant medium property and an exponential decay estimate of the modifled Bessel functions." @default.
• W43398569 created "2016-06-24" @default.
• W43398569 creator A5005199475 @default.
• W43398569 date "2009-01-01" @default.
• W43398569 modified "2023-10-11" @default.
• W43398569 title "CONVERGENCE OF THE TIME-DOMAIN PERFECTLY MATCHED LAYER METHOD FOR ACOUSTIC SCATTERING PROBLEMS" @default.
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• W43398569 hasPublicationYear "2009" @default.
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