Eigenmode solution of 2-D and 3-D electromagnetic cavities containing absorbing materials using the Jacobi-Davidson algorithm

DOI10.1006/jcph.1999.6386zbMath0946.65105OpenAlexW1981614063MaRDI QIDQ1971406

B. Levush, S. J. Cooke

Publication date: 17 October 2000

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1999.6386

zbMATH Keywords

finite difference methodeigenvectorselectromagnetic fieldMaxwell's equationeigenmodesJacobi-Davidson algorithm

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Estimates of eigenvalues in context of PDEs (35P15) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

Refined isogeometric analysis of quadratic eigenvalue problems ⋮ A reduced order model for the finite element approximation of eigenvalue problems ⋮ A finite integration method for conformal, structured-grid, electromagnetic simulation ⋮ JADAMILU: a software code for computing selected eigenvalues of large sparse symmetric matrices

Uses Software

• eigs
• IRAM

Cites Work

• The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
• Efficient expansion of subspaces in the Jacobi-Davidson method for standard and generalized eigenproblems
• A generalized nonsymmetric Lanczos procedure
• Super-matrix methods
• Application of the implicitly updated Arnoldi method with a complex shift-and-invert strategy in MHD
• The origin of spurious solutions in computational electromagnetics
• Chebyshev Acceleration Techniques for Solving Nonsymmetric Eigenvalue Problems
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• An Implementation of the QMR Method Based on Coupled Two-Term Recurrences
• A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
• Iterative Solution Methods
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