A new constrained formulation of the Maxwell system

Sophie Depeyre; Didier Issautier

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1997)

  • Volume: 31, Issue: 3, page 327-357
  • ISSN: 0764-583X

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Depeyre, Sophie, and Issautier, Didier. "A new constrained formulation of the Maxwell system." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 31.3 (1997): 327-357. <http://eudml.org/doc/193840>.

@article{Depeyre1997,
author = {Depeyre, Sophie, Issautier, Didier},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Maxwell system; numerical examples; stability; finite volume schemes},
language = {eng},
number = {3},
pages = {327-357},
publisher = {Dunod},
title = {A new constrained formulation of the Maxwell system},
url = {http://eudml.org/doc/193840},
volume = {31},
year = {1997},
}

TY - JOUR
AU - Depeyre, Sophie
AU - Issautier, Didier
TI - A new constrained formulation of the Maxwell system
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1997
PB - Dunod
VL - 31
IS - 3
SP - 327
EP - 357
LA - eng
KW - Maxwell system; numerical examples; stability; finite volume schemes
UR - http://eudml.org/doc/193840
ER -

References

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  2. [2] R. CARPENTIER, A. de la BOURDONNAYE, B. LARROUTUROU, 1994, On the derivation of the modified equation for the analysis of linear numerical methods, CERMICS Report no 26. Zbl0806.65089MR1300083
  3. [3] S. DEPEYRE, R. CARPENTIER, High-order upwind numerical methods in two space dimensions, CERMICS Report, to appear. 
  4. [4] S. DEPEYRE, Stability analysis for the finite volume schemes on rectangular and triangular meshes applied to the 2D Maxwell system, to appear. Zbl0956.78019
  5. [5] J. P. CIONI, L. FEZOUI, H. STEVE, 1993, A parallel time-domain Maxwell solver using upwind schemes and triangular meshes, IMPACT in computing in science and engeenering No 165. Zbl0788.65119MR1237286
  6. [6] J. P. CIONI, L. FEZOUI, D. ISSAUTIER, High order upwind schemes for solving time domain Maxwell equation, La Recherche Aérospatiale, numéro spécial électromagnétisme. Zbl0874.76061
  7. [7] R. DAUTRAY, J. L. LIONS, 1987, Analyse mathématique et calcul numérique, Masson, 1, 68-127. Zbl0708.35003MR918560
  8. [8] J. A. DESIDERI, A. GOUJO, V. SELMIN, 1987, Third-order numerical schemes for hyperbolic problems, Rapport de recherche INRIA no. 607. 
  9. [9] L. FEZOUI, 1985, Résolution des équations d'Euler par un schéma de Van Leer en éléments finis, INRIA Report no. 358. 
  10. [10] N. GLINSKY, 1990, Simulation numérique d'écoulements hypersoniques réactifs hors-équilibre chimique, Thesis, University of Nice-Sophia Antipolis. Zbl0923.76078
  11. [11] D. ISSAUTIER, J. P. CIONI, F. POUPAUD, L. FEZOUI, A 2-D Vlasov Maxwell solver on unstructured meshes, Third international conference on mathematical and numerical aspects of wave propagation phenomena, Mandelieu, avril 1995. Zbl0874.76061MR1328210
  12. [12] P. D. LAX, A. HARTEN, B. Van LEER, 1983, On upstream differencing and Godunov type schemes for hyperbolic conservation laws, SIAM Revue, Vol. 25, No 1. Zbl0565.65051MR693713
  13. [13] S. LANTERI, 1991, Simulation d'écoulements aérodynamiques instationnaires sur une architecture massivement parallèle, Thesis, University of Nice Sophia-Antipolis. 
  14. [14] V. SELMIN, 1987, Finite element solution of hyperbolic equations, I : one dimensional case, II : two dimensional case, INRIA Report no 655. 
  15. [15] B. Van LEER, 1982, Flux vector splitting for the Euler equations, Lecture Notes in Physics, Vol. 170, pp 405-512. 
  16. [16] R. F. WARMING, HYETT, 1974, The modified equation approach to the stability and accuracy analysis of finite-difference methods, J. Comp. Phys., 14, (2), p 159. Zbl0291.65023MR339526

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