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  • Araujo-Cabarcas, Juan Carlos, et al. (author)
  • On spurious solutions in finite element approximations of resonances in open systems
  • 2017
  • In: Computers and Mathematics with Applications. - : Elsevier. - 0898-1221 .- 1873-7668. ; 74:10, s. 2385-2402
  • Journal article (peer-reviewed)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.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Engström, Christian (1)
Araujo Cabarcas, Jua ... (1)
University
Umeå University (1)
Linnaeus University (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2017 (1)

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