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

DOI10.1016/j.camwa.2017.07.020zbMath1398.65189arXiv1606.09635OpenAlexW2962929101MaRDI QIDQ1667676

Juan Carlos Araujo-Cabarcas, Christian Engström

Publication date: 30 August 2018

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.09635

zbMATH Keywords

nonlinear eigenvalue problemsLippmann-Schwinger equationscattering resonancesacoustic resonatorBragg resonatordielectric resonator

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (3)

On spurious solutions encountered in Helmholtz scattering resonance computations in \(\mathbb{R}^d\) with applications to nano-photonics and acoustics ⋮ Computation of scattering resonances in absorptive and dispersive media with applications to metal-dielectric nano-structures ⋮ Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems

Uses Software

• SLEPc
• deal.ii
• PETSc
• Eigtool

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