A Block Pseudospectral Method for Maxwell's Equations: I. One-Dimensional Case

Journal of Computational Physics

Volumn 140, Issue 1, 1998, Pages 47-65

  Driscoll, Tobin A ^a   Fornberg, Bengt ^a  

^a UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPATIBILITY CONDITIONS; DISCRETIZATIONS; EQUATION COEFFICIENTS; HIGH-ACCURACY; LINEAR HYPERBOLIC SYSTEMS; MATCHING CONDITION; NONHOMOGENEOUS MEDIUM; ONE-DIMENSIONAL; PSEUDOSPECTRAL; PSEUDOSPECTRAL METHODS;

EID: 0005055775     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.5883     Document Type: Article

References (21)

1. Bamberger A., Glowinski R., Tran Q. H. A domain decomposition method for the acoustic wave equation with discontinuous coefficients and grid change. SIAM J. Numer. Anal. 34:1997;603.
2. Berenger J.-P. A perfectly matched layer for the absorption of electromagnetic waves. J. Comput. Phys. 114:1994;185.
3. Bjø rhus M. The ODE formulation of hyperbolic PDEs discretized by the spectral collocation method. SIAM J. Sci. Comput. 16:1995;542.
4. Canuto C., Quarteroni A. On the boundary treatment in spectral methods for hyperbolic systems. J. Comput. Phys. 71:1987;100.
5. Carpenter M. H., Gottlieb D. Spectral methods on arbitrary grids. J. Comput. Phys. 129:1996;74.
6. Chesshire G., Henshaw W. D. Composite overlapping meshes for the solution of partial differential equations. J. Comput. Phys. 90:1990;1.
7. Fornberg B. An improved pseudospectral method for initial-boundary value problems. J. Comput. Phys. 91:1990;381.
8. Fornberg B. A Practical Guide to Pseudospectral Methods. 1996.
9. Hanley P. A strategy for the efficient simulation of viscous compressible flows using a multidomain pseudospectral approach. J. Comput. Phys. 108:1993;153.
10. Hesthaven J. S. A stable penalty method for the compressible Navier- Stokes equations. II. One-dimensional domain decomposition schemes. SIAM J. Sci. Comput. 18:1997;658.
11. Kopriva D. A. Computation of hyperbolic equations on complicated domains with patched and overset Chebyshev grids. SIAM J. Sci. Stat. Comput. 10:1989;120.
12. Kopriva D. A., Kolias J. H. A Conservative Staggered-Grid Chebyshev Multidomain Method for Compressible Flows. 1995.
13. -1. J. Comput. Phys. 104:1993;457.
14. Lie I. Multidomain solution of advection problems by Chebyshev spectral collocation. J. Sci. Comput. 9:1994;39.
15. Quarteroni A. Domain decomposition methods for systems of conservation laws: Spectral collocation approximations. SIAM J. Sci. Stat. Comput. 11:1990;1029.
16. B. Strand, Simulations of acoustic wave phenomena using high-order finite difference approximations, SIAM J. Sci. Comput.
17. Taflove A. Computational Electrodynamics: The Finite-Difference Time-Domain Method. 1995.
18. Welfert B. D. Generation of pseudospectral differentiation matrices I. SIAM J. Numer. Anal. 34:1997;1640.
19. Yang B., Gottlieb D., Hesthaven J. S. Spectral simulations of electromagnetic wave scattering. J. Comput. Phys. 134:1997;1.
20. Yee K. S. Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. IEEE Trans. Antennas and Prop. 14:1966;302.
21. Zingg D. W., Lomax H., Jurgens H. M. High-accruacy finite-difference schemes for linear wave propagation. SIAM J. Sci. Comput. 17:1996;328.