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Discontinuous spectral element approximation of Maxwell’s equations. (English) Zbl 0957.78023
Cockburn, Bernardo (ed.) et al., Discontinuous Galerkin methods. Theory, computation and applications. 1st international symposium on DGM, Newport, RI, USA, May 24-26, 1999. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 11, 355-361 (2000).
Summary: Two discontinuous spectral element methods for the solution of Maxwell’s equations are compared. The first method is a staggered-grid Chebyshev approximation. The second is a spectral element (collocation) form of the discontinuous Galerkin method. In both methods, the approximations are discontinuous at element boundaries, making them suitable for propagating waves through multiple materials. Solutions are presented for propagation of a plane wave through a plane dielectric interface and for scattering off a coated perfectly conducting cylinder.
For the entire collection see [Zbl 0935.00043].

78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
78A25 Electromagnetic theory (general)