Discontinuous Spectral Element Approximation of Maxwell’s Equations

  • David A. Kopriva
  • Stephen L. Woodruff
  • M. Y. Hussaini
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 11)


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.


Collocation Method Riemann Problem Discontinuous Galerkin Method Spectral Element Spectral Element Method 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • David A. Kopriva
    • 1
  • Stephen L. Woodruff
    • 1
  • M. Y. Hussaini
    • 1
  1. 1.Program in Computational Science and EngineeringThe Florida State UniversityTallahasseeUSA

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