Spectral approximation of quadratic operator polynomials arising in photonic band structure calculations

DOI10.1007/s00211-013-0568-yzbMath1366.78024OpenAlexW2038993381MaRDI QIDQ2454030

Christian Engström

Publication date: 12 June 2014

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-013-0568-y

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Periodic solutions to PDEs (35B10) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Antennas, waveguides in optics and electromagnetic theory (78A50) Linear operator approximation theory (47A58) Variational methods applied to problems in optics and electromagnetic theory (78M30) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Related Items (7)

High Order Complex Contour Discretization Methods to Simulate Scattering Problems in Locally Perturbed Periodic Waveguides ⋮ On spurious solutions in finite element approximations of resonances in open systems ⋮ A Spectral Decomposition Method to Approximate Dirichlet-to-Neumann Maps in Complicated Waveguides ⋮ Discrete perturbation estimates for eigenpairs of Fredholm operator-valued functions ⋮ Efficient and reliable hp-FEM estimates for quadratic eigenvalue problems and photonic crystal applications ⋮ Determination of electromagnetic Bloch variety in a medium with frequency-dependent coefficients ⋮ The Waveguide Eigenvalue Problem and the Tensor Infinite Arnoldi Method

Uses Software

• Concepts
• ARPACK

Cites Work

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