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• W2469969688 abstract "In this paper, we discuss problems arising when computing resonances with a finite element method. In the pre-asymptotic regime, we detect for the one dimensional case, spurious solutions in finite element computations of resonances when the computational domain is truncated with a perfectly matched layer (PML) as well as with a Dirichlet-to-Neumann map (DtN). The new test is based on the Lippmann-Schwinger equation and we use computations of the pseudospectrum to show that this is a suitable choice. Numerical simulations indicate that the presented test can distinguish between spurious eigenvalues and true eigenvalues also in difficult cases. Keywords: scattering resonances, Lippmann-Schwinger equation, nonlinear eigenvalue problems, acoustic resonator, dielectric resonator, Bragg resonator" @default.
• W2469969688 created "2016-07-22" @default.
• W2469969688 creator A5001811746 @default.
• W2469969688 creator A5006351626 @default.
• W2469969688 date "2016-06-30" @default.
• W2469969688 modified "2023-09-27" @default.
• W2469969688 title "On spurious solutions in finite element approximations of resonances in open systems" @default.
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• W2469969688 hasPublicationYear "2016" @default.
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