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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)

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.

Keywords

Collocation Method Riemann Problem Discontinuous Galerkin Method Spectral Element Spectral Element Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    C. Canuto, M.Y. Hussaini, A. Quarteroni, and T.A. Zang. Spectral Methods in Fluid Dynamics. Springer-Verlag, New York, 1987.Google Scholar
  2. 2.
    J.S. Hesthaven. A stable penalty method for the compressible Navier-Stokes equations.II. One dimensional domain decomposition schemes. SIAM J. Sci. Comp., 18: 658, 1997.MathSciNetzbMATHCrossRefGoogle Scholar
  3. 3.
    David A. Kopriva and John H. Kolias. A conservative staggered-grid Chebyshev multidomain method for compressible flows. J. Comp. Phys., 125: 244–261, 1996.MathSciNetzbMATHCrossRefGoogle Scholar
  4. 4.
    I. Lomtev, C.W. Quillen, and G. Karniadakis. Spectral/hp methods for viscous compressible flows on unstructured 2d meshes. J. Comp. Phys, 144: 325–357, 1998.MathSciNetzbMATHCrossRefGoogle Scholar
  5. 5.
    A. H. Mohammadian, V. Shankar, and W. F. Hall. Computation of electromagnetic scattering and radiation using a time-domain finite-volume discretization procedure. Computer Physics Communications, 68: 175–196, 1991.CrossRefGoogle Scholar
  6. 6.
    A. Taflove. Computational Electrodynamics: The Finite-Difference Time-Domain Method. Artech House, Boston, MA, 1995.zbMATHGoogle Scholar

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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