On spurious solutions in finite element approximations of resonances in open systems

• DOI: 10.48550/arxiv.1606.09635
• Publication Date: 2016-01-01
• Authors: Juan Carlos Arauj...; Christian Engström
• Keywords: Spurious relationship

In this paper, we discuss problems arising when computing resonances with a finite element method. the pre-asymptotic regime, detect for one dimensional case, spurious solutions in computations of computational domain is truncated perfectly matched layer (PML) as well Dirichlet-to-Neumann map (DtN). The new test based on Lippmann-Schwinger equation and use pseudospectrum to show that suitable choice. Numerical simulations indicate presented can distinguish between eigenvalues true also difficult cases. Keywords: scattering resonances, equation, nonlinear eigenvalue problems, acoustic resonator, dielectric Bragg resonator