Abstract
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.
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© 2000 Springer-Verlag Berlin Heidelberg
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Kopriva, D.A., Woodruff, S.L., Hussaini, M.Y. (2000). Discontinuous Spectral Element Approximation of Maxwell’s Equations. In: Cockburn, B., Karniadakis, G.E., Shu, CW. (eds) Discontinuous Galerkin Methods. Lecture Notes in Computational Science and Engineering, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59721-3_33
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DOI: https://doi.org/10.1007/978-3-642-59721-3_33
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64098-8
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