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| HAL : hal-00005368, version 1 |
| arXiv : math.NA/0506289 |
| DOI : 10.1137/060671255 |
| Fiche détaillée |  Récupérer au format |
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| SIAM Journal on Numerical Analysis 46, 5 (2008) 2551-2566 |
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| Stability of FD-TD schemes for Maxwell-Debye and Maxwell-Lorentz equations |
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| Brigitte Bidégaray-Fesquet 1, 2 |
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| (2008) |
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| The stability of five finite difference-time domain (FD-TD) schemes coupling Maxwell equations to Debye or Lorentz models have been analyzed in [1] (P.G. Petropoulos, "Stability and phase error analysis of FD-TD in dispersive dielectrics", IEEE Transactions on Antennas and Propagation, vol. 42, no. 1, pp. 62--69, 1994), where numerical evidence for specific media have been used. We use von Neumann analysis to give necessary and sufficient stability conditions for these schemes for any medium, in accordance with the partial results of [1]. |
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| 1 : | Laboratoire de Modélisation et Calcul (LMC - IMAG) |
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CNRS : UMR5523 – Université Joseph Fourier - Grenoble I – Institut National Polytechnique de Grenoble (INPG) |
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| 2 : | Laboratoire Jean Kuntzmann (LJK) |
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CNRS : UMR5224 – Université Joseph Fourier - Grenoble I – Université Pierre Mendès-France - Grenoble II – Institut Polytechnique de Grenoble - Grenoble Institute of Technology |
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| Domaine | : | Mathématiques/Analyse numérique |
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| Stability analysis – Maxwell-Debye – Maxwell-Lorentz |
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| hal-00005368, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00005368 | |
| oai:hal.archives-ouvertes.fr:hal-00005368 | |
| Contributeur : Brigitte Bidégaray-Fesquet | |
| Soumis le : Mercredi 15 Juin 2005, 08:39:42 | |
| Dernière modification le : Vendredi 18 Juillet 2008, 10:19:46 | |
