Fourth order compact implicit method for the Maxwell equations with discontinuous coefficients

Applied Numerical Mathematics

Volumn 33, Issue 1, 2000, Pages 125-134

  Yefet, A ^a   Turkel, E ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIELECTRIC PROPERTIES; DIFFERENTIAL EQUATIONS; MAXWELL EQUATIONS; PIECEWISE LINEAR TECHNIQUES;

DISCONTINUOUS COEFFICIENTS; FOURTH ORDER COMPACT IMPLICIT METHOD; STANDARD YEE SCHEME;

ALGORITHMS;

EID: 0034190308     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00075-6     Document Type: Article

References (12)

1. V. Ahuja, L.N. Long, A parallel finite volume Runge-Kutta algorithm for electromagnetic scattering, J. Comput. Phys. 137 (1997) 299-320.
2. J.-P. Berenger, A perfectly matched layer for the absorption of electromagnetic waves, J. Comput. Phys. 114 (1994) 185-200.
3. D. Gottlieb, E. Turkel, Dissipative two-four methods for time dependent problems, Math. Comp. 30 (1976) 703-723.
4. D. Gottlieb, B. Yang, Comparisons of staggered and non-staggered schemes for Maxwell's equations, in: 12th Annual Review of Progress in Applied Computational Electromagnetics, 1996.
5. F.Q. Hu, M.Y. Hussaini, J. Manthey, Low dissipation and low-dispersion Runge-Kutta schemes for computational acoustics, J. Comput. Phys. 124 (1996) 177-191.
6. H.-O. Kreiss, J. Oliger, Comparison of accurate methods for the integration of hyperbolic equations, Tellus 24 (1972) 199-215.
7. A. Taflove, Computational Electrodynamics. The Finite-Difference Time-Domain Method, Artech House, Boston, 1995.
8. E. Turkel, High order methods, in: A. Taflove (Ed.), Advances in Computational Electrodynamics: The Finite-Difference Time-Domain Method, Artech House, 1998, pp. 63-109.
9. E. Turkel, A. Yefet, Fourth Order Accurate Compact Implicit Method for the Maxwell Equations, to appear.
10. E. Turkel, A. Yefet, Absorbing PML boundary layers for wave-like equations, Appl. Numer. Math. 27 (1998) 533-557.
11. K.S. Yee, Numerical solution of initial boundary value problems involving Maxwell's equation in isotropic media, IEEE Trans. Antennas Propag. 14 (1966) 302-307.
12. J.L. Young, D. Gaitonde, J.S. Shang, Toward the construction of a fourth-order difference scheme for transient EM wave simulation: Staggered grid approach, IEEE Trans. Antennas Propag. 45 (1997) 1573-1580.