The Waveguide Eigenvalue Problem and the Tensor Infinite Arnoldi Method

DOI10.1137/15M1044667zbMath1366.65104arXiv1503.02096OpenAlexW1600807641MaRDI QIDQ5268993

Olof Runborg, Elias Jarlebring, Giampaolo Mele

Publication date: 14 June 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02096

zbMATH Keywords

algorithmiterative methodsHelmholtz equationnonlinear eigenvalue problemsKrylov methodsArnoldi's methodwaveguide eigenvalue problem

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Antennas, waveguides in optics and electromagnetic theory (78A50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (11)

On spurious solutions encountered in Helmholtz scattering resonance computations in \(\mathbb{R}^d\) with applications to nano-photonics and acoustics ⋮ Efficient resonance computations for Helmholtz problems based on a Dirichlet-to-Neumann map ⋮ Disguised and new quasi-Newton methods for nonlinear eigenvalue problems ⋮ Infinite GMRES for Parameterized Linear Systems ⋮ The nonlinear eigenvalue problem ⋮ The infinite Lanczos method for symmetric nonlinear eigenvalue problems ⋮ The Infinite Bi-Lanczos Method for Nonlinear Eigenvalue Problems ⋮ On restarting the tensor infinite Arnoldi method ⋮ Sylvester-based preconditioning for the waveguide eigenvalue problem ⋮ Computing Delay Lyapunov Matrices and $\mathcal{H}_2$ Norms for Large-scale Problems ⋮ Nonlinearizing Two-parameter Eigenvalue Problems

Uses Software

• NLEVP
• NLEIGS

Cites Work

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