Computational Lower Bounds of the Maxwell Eigenvalues
DOI10.1137/21M1461447MaRDI QIDQ5886243
Unnamed Author, Dietmar Gallistl
Publication date: 31 March 2023
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.02605
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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 transform (44A10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Maxwell equations (35Q61)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Local two-sided bounds for eigenvalues of self-adjoint operators
- A framework of verified eigenvalue bounds for self-adjoint differential operators
- An optimal Poincaré inequality for convex domains
- Remarks on a posteriori error estimation for finite element solutions
- On Bogovskiĭ and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains
- A coercive bilinear form for Maxwell's equations
- Methods of intermediate problems for eigenvalues. Theory and ramifications
- Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework
- Complementarity based a posteriori error estimates and their properties
- Singularities of electromagnetic fields in polyhedral domains
- Large sparse symmetric eigenvalue problems with homogeneous linear constraints: The Lanczos process with inner-outer iterations
- Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators
- Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations
- Verified norm estimation for the inverse of linear elliptic operators using eigenvalue evaluation
- Verified Eigenvalue Evaluation for the Laplacian over Polygonal Domains of Arbitrary Shape
- Finite element approximation of eigenvalue problems
- Guaranteed lower bounds for eigenvalues
- Local bounded cochain projections
- Finite elements in computational electromagnetism
- Finite element exterior calculus, homological techniques, and applications
- Numerical Homogenization of H(curl)-Problems
- Rayleigh–Ritz approximation of the inf-sup constant for the divergence
- Finite Element Methods for Maxwell's Equations
- Mixed Finite Element Methods and Applications
- Stable broken 𝐻(𝑐𝑢𝑟𝑙) polynomial extensions and 𝑝-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem
- Computational Homogenization of Time-Harmonic Maxwell's Equations
- A Posteriori Error Analysis of the inf-sup Constant for the Divergence
- Finite Element Eigenvalue Enclosures for the Maxwell Operator
- Double complexes and local cochain projections
- Finite Elemente
- Two-Sided Bounds for Eigenvalues of Differential Operators with Applications to Friedrichs, Poincaré, Trace, and Similar Constants
- Discontinuous Galerkin Approximation of the Maxwell Eigenproblem
- Guaranteed and locally computable a posteriori error estimate