Efficient resonance computations for Helmholtz problems based on a Dirichlet-to-Neumann map
DOI10.1016/j.cam.2017.08.012zbMath1376.65142arXiv1606.09547OpenAlexW2964048020MaRDI QIDQ1675947
Juan Carlos Araujo-Cabarcas, Elias Jarlebring, Christian Engström
Publication date: 3 November 2017
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.09547
stabilityconvergencenumerical examplesfinite element discretizationnonlinear eigenvalue problemsresonancematrix functionsDirichlet-to-Neumann mapHelmholtz problemscattering resonancesArnoldi's methodresonant modes
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Overdetermined initial-boundary value problems for PDEs and systems of PDEs (35N30)
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