Eigenvalue Approximation by a Mixed Method for Resonant Inhomogeneous Cavities with Metallic Boundaries

DOI10.2307/2153017zbMath0767.65091OpenAlexW4249106503MaRDI QIDQ3987918

Vincent Levillain

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2153017

zbMATH Keywords

conductorrate of convergenceeigenvaluesnumerical experimentsmixed finite elementscurl operatorMaxwell problem

Mathematics Subject Classification ID

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) Technical applications of optics and electromagnetic theory (78A55) Electromagnetic theory (general) (78A25) Applications to the sciences (65Z05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (7)

An analysis of Nédélec's method for the spatial discretization of Maxwell's equations ⋮ On the \(p\)- and \(hp\)-extension of Nédélec's curl-conforming elements ⋮ Nonconforming Maxwell eigensolvers ⋮ Discrete compactness and the approximation of Maxwell's equations in $\mathbb{R}^3$ ⋮ A finite element method for approximating the time-harmonic Maxwell equations ⋮ Phase-accuracy comparisons and improved far-field estimates for 3-D edge elements on tetrahedral meshes ⋮ Maxwell eigenvalues and discrete compactness in two dimensions

Cites Work

• A variational approach for the vector potential formulation of the Stokes and Navier-Stokes problems in three dimensional domains
• Mixed finite elements in \(\mathbb{R}^3\)
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Eigenvalue Approximation by Mixed and Hybrid Methods
• Spectral Approximation for Compact Operators
• Discrete Vector Potential Representation of a Divergence-Free Vector Field in Three-Dimensional Domains: Numerical Analysis of a Model Problem
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