Study of domain truncation error for an eigenvalue problem

DOI10.1016/J.CRMA.2007.12.003zbMath1133.65093OpenAlexW2005215172MaRDI QIDQ2472999

Abdelaziz Choutri

Publication date: 25 February 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.12.003

zbMATH Keywords

finite element methodeigenvalue problemeigenfunctionserror estimateHelmholtz equationwaveguideoptical fiber

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Antennas, waveguides in optics and electromagnetic theory (78A50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (1)

On domain error truncation in a problem of guided modes computation in optical fibers

Cites Work

• Spectral Approximation of a Boundary Condition for an Eigenvalue Problem
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