A stability analysis for finite volume schemes applied to the Maxwell system
- Volume: 33, Issue: 3, page 443-458
- ISSN: 0764-583X
Access Full Article
topHow to cite
topReferences
top- [l] D.A. Anderson, J.C. Tannehill and R.H. Pletcher, Computational Fluid Mechanics and Heat Transfer, Vol. 1. Hemisphere Publishing Corporation (1984). Zbl0569.76001MR761171
- [2] J.P. Cioni, Résolution numérique des équations de Maxwell instationnaires par une méthode de volumes finis. Ph. D. thesis, University of Nice - Sophia Antipolis, France (1995).
- [3] S. Depeyre and D. Issautier, A new constrained formulation of the Maxwell System. RAIRO Modél. Math. Anal. Numér. 31 (1997) 327-357. Zbl0874.65097MR1451346
- [4] J.A. Désidéri, A. Goudjo and V. Selmin, Third-order numerical schemes for hyperbolic problems. INRIA Report No. 607 (1987).
- [5] L. Fezoui, Résolution des équations d'Euler par un schéma de Van Leer en éléments finis, INRIA Report No. 358 (1985).
- [6] N. Glinsky, Simulation numérique d'écoulements hypersoniques réactifs hors-équilibre chimique Ph. D. thesis, University of Nice - Sophia Antipolis, France (1990). Zbl0923.76078
- [7] P.D. Lax, A. Harten and B. Van Leer, On upstream differencing and Godunov type schemes for hyperbolic conservation laws. SIAM Rev. 25 (1983) 35-61. Zbl0565.65051MR693713
- [8] B. Van Leer, Flux vector splitting for the Euler equations. Lect. Notes Phys. 170 (1982) 405-512.
- [9] A. Taflove and M.E. Brodwin, Numerical Solution of Steady-State Electromagnetism Scattering Problems Using the Time-Dependent Maxwell's Equations. IEEE Trans. Microwave Theory Tech. 23 (1975) 623-630.
- [10] K.S. Yee, Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. IEEE Trans. Antennas Propag. 14 (1993) 302-307. Zbl1155.78304