Spectral Approximation of a Boundary Condition for an Eigenvalue Problem

DOI10.1137/0732058zbMath0834.65104OpenAlexW2001811200MaRDI QIDQ4852615

Nabil Gmati, Anne-Sophie Bonnet-Ben Dhia

Publication date: 31 March 1996

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0732058

zbMATH Keywords

error estimateseigenfunctionselectromagnetic wavesnonlinear eigenvalue problemguided modesFourier series expansionoptical fibrebidimensional eigenvalue problem

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) PDEs in connection with optics and electromagnetic theory (35Q60) Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Antennas, waveguides in optics and electromagnetic theory (78A50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (5)

Construction of local boundary conditions for an eigenvalue problem using micro-local analysis: application to optical waveguide problems. ⋮ Unnamed Item ⋮ Study of domain truncation error for an eigenvalue problem ⋮ Computing guided modes for an unbounded stratified medium in integrated optics ⋮ On domain error truncation in a problem of guided modes computation in optical fibers

This page was built for publication: Spectral Approximation of a Boundary Condition for an Eigenvalue Problem