Eigenmode computation of cavities with perturbed geometry using matrix perturbation methods applied on generalized eigenvalue problems

DOI10.1016/j.jcp.2018.03.012zbMath1392.78017OpenAlexW2792502568MaRDI QIDQ1656753

Shahnam Gorgizadeh, Ursula van Rienen, Thomas Flisgen

Publication date: 10 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2018.03.012

zbMATH Keywords

generalized eigenvalue problemmatrix perturbationmicrowave cavityeigenvalue reanalysismodal sensitivity analysisSlater's theorem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)

Related Items (3)

Generalized finite difference method for three-dimensional eigenproblems of Helmholtz equation ⋮ Stability analysis and improvement of the solution reconstruction for cell-centered finite volume methods on unstructured meshes ⋮ Uncertainty quantification for Maxwell's eigenproblem based on isogeometric analysis and mode tracking

Uses Software

• Matlab
• ARPACK

Cites Work

• Unnamed Item
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• Eigenvalue perturbation and generalized Krylov subspace method
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• ARPACK Users' Guide
• An efficient algebraic method for the computation of natural frequency and mode shape sensitivities—Part I. Distinct natural frequencies
• Efficient computation of modal sensitivities for systems with repeated frequencies
• Improved stiffness-based first-order approximations for structural optimization
• Procedures for approximate eigenproblem reanalysis of structures
• Rates of change of eigenvalues and eigenvectors.
• Solution methods for eigenvalue problems in structural mechanics
• Microwave Electronics
• Computational Electromagnetics

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