Spectral analysis and domain truncation for Maxwell's equations
From MaRDI portal
Publication:2111986
DOI10.1016/j.matpur.2022.12.004OpenAlexW4311746908MaRDI QIDQ2111986
Sabine Bögli, Christiane Tretter, Marco Marlettta, Francesco Ferraresso
Publication date: 17 January 2023
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.13089
Maxwell equationsessential spectrumeigenvalue boundsspectral approximationresolvent estimatedomain truncation
General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Spectrum, resolvent (47A10) Linear operator approximation theory (47A58) Electromagnetic theory (general) (78A25) Maxwell equations (35Q61)
Related Items
A novel approach to investigate the stability analysis and the dynamics of reaction-diffusion SVIR epidemic model, Essential spectrum for dissipative Maxwell equations in domains with cylindrical ends, Spectral properties of a class of operator functions with applications to the Moore-Gibson-Thompson equation with memory, Spectral properties of the inhomogeneous Drude-Lorentz model with dissipation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Limiting absorption principle and well-posedness for the Helmholtz equation with sign changing coefficients
- Exact non-reflecting boundary conditions
- Mixed finite elements in \(\mathbb{R}^3\)
- The essential spectrum of the nonself-adjoint Maxwell operator in a bounded domain
- A perfectly matched layer for the absorption of electromagnetic waves
- On spectral pollution in the finite element approximation of thin elastic ``membrane shells
- Local convergence of spectra and pseudospectra
- Convergence of sequences of linear operators and their spectra
- Perturbation theory for linear operators.
- The reduced minimum modulus
- Boundary element methods for Maxwell's equations on non-smooth domains
- Variational bounds to eigenvalues of selfadjoint eigenvalue problems with arbitrary spectrum
- The essential numerical range for unbounded linear operators
- Exponential decay of quasilinear Maxwell equations with interior conductivity
- Self-adjoint indefinite Laplacians
- Characterization of the essential spectrum of the Neumann-Poincaré operator in 2D domains with corner via Weyl sequences
- Stability of the anisotropic Maxwell equations with a conductivity term
- Eigenvalue problems with sign-changing coefficients
- Analysis of the non-reflecting boundary condition for the time-harmonic electromagnetic wave propagation in waveguides
- Essential spectrum for Maxwell's equations
- The functional calculus for sectorial operators
- Internal stabilization of Maxwell's equations in heterogeneous media
- Diskrete Konvergenz linearer Operatoren. I
- A class of analytic perturbations for one-body Schrödinger Hamiltonians
- T-Coercivity for the Maxwell Problem with Sign-Changing Coefficients
- Spectral pollution and how to avoid it
- A local compactness theorem for Maxwell's equations
- Mathematical and Computational Methods in Photonics and Phononics
- Finite Element Methods for Maxwell's Equations
- Spectral pollution and second-order relative spectra for self-adjoint operators
- Spectral pollution
- Finite Element Eigenvalue Enclosures for the Maxwell Operator
- On the adjoint of the product of operators
- Essential numerical ranges for linear operator pencils