Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes
Journal of Computational and Applied Mathematics
Spectral approximation of variationally-posed eigenvalue problems by nonconforming methods
Journal of Computational and Applied Mathematics
Finite element approximation of Maxwell eigenproblems on curved Lipschitz polyhedral domains
Applied Numerical Mathematics
Nonconforming Maxwell Eigensolvers
Journal of Scientific Computing
The Mortar-Discontinuous Galerkin Method for the 2D Maxwell Eigenproblem
Journal of Scientific Computing
Journal of Computational Physics
Explicit local time-stepping methods for Maxwell's equations
Journal of Computational and Applied Mathematics
Planewave expansion methods for photonic crystal fibres
Applied Numerical Mathematics
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A theoretical framework for the analysis of discontinuous Galerkin approximations of the Maxwell eigenproblem with discontinuous coefficients is presented. Necessary and sufficient conditions for a spurious-free approximation are established, and it is shown that, at least on conformal meshes, basically all the discontinuous Galerkin methods in the literature actually fit into this framework. Relations with the classical theory for conforming approximations are also discussed.