Book ChapterDOI
The Discrete Eigenvalue Problem
Felix Wolf
- pp 103-111
TLDR
In this paper, the authors discuss the solution of the problem of computing resonant frequencies within perfectly conducting structures, i.e., the computation of frequencies within a perfectly conducting structure.Abstract:
This chapter is devoted to the discussion of the solution of Problem 2.32, i.e., the computation of resonant frequencies within perfectly conducting structures.read more
References
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Journal ArticleDOI
An integral method for solving nonlinear eigenvalue problems
TL;DR: In this paper, a numerical method for computing all eigenvalues (and the corresponding eigenvectors) of a nonlinear holomorphic eigenvalue problem that lie within a given contour in the complex plane is proposed.
Journal ArticleDOI
A numerical method for nonlinear eigenvalue problems using contour integrals
TL;DR: A contour integral method is proposed to solve nonlinear eigenvalue problems numerically by reducing the original problem to a linear eigen value problem that has identical eigenvalues in the domain.
Journal ArticleDOI
Relationships among contour integral-based methods for solving generalized eigenvalue problems
TL;DR: All contour integral-based eigensolvers can be regarded as projection methods and can be categorized based on their subspace used, the type of projection and the problem to which they are applied implicitly.
Book ChapterDOI
Chapter III - Boundary eigenvalue problems for first order systems
Convergence analysis of a Galerkin boundary element method for electromagnetic resonance problems
TL;DR: In this paper, a convergence analysis of a Galerkin boundary element method for resonance problems arising from the time harmonic Maxwell's equations is presented, where boundary integral formulations of the resonance problems are eigenvalue problems for holomorphic Fredholm operator-valued functions, where the operators satisfy a generalized Garding's inequality.