A space-time mesh refinement method for the 1D Maxwell's system;Une méthode de raffinement de maillage espace-temps pour le systéme de Maxwell en dimension un*

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 328, Issue 3, 1999, Pages 263-268

  Collino, Francis ^a   Fouquet, Thierry ^a   Joly, Patrick ^a  

^a INRIA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033076703     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(99)80132-3     Document Type: Article

References (9)

1. [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 (2) (1997) 603-639.
2. [2] Bernardi C., Maday Y., Raffinement de maillage en éléments finis par la méthode des joints, C. R. Acad. Sci. Paris 320 (3) Série I (1995) 373-377.
3. [3] Chevalier M.W., Luebbers R.J., FDTD local grid with material traverse, IEEE Transactions on Antennas and Propagation 45 (3) (1997) 411-421.
4. [4] Collino F., Fouquet T., Joly P., Analyse numérique d'une méthode de raffinement de maillage espace-temps pour l'équation des ondes, Technical Report 3474, INRIA, Aout 1998.
5. [5] Cohen G., Monk P., Gauss point mass lumping schemes for maxwell's equations, Numer. Meth. Partial Differ. Eq. 14 (1) (1998) 63-88.
6. [6] Gedney S.D., Lansing F., Computational electrodynamics The Finite-Difference Time-Domain Method, chapter Explicit Time-Domain Solution of Maxwell's Equations Using Nonorthogonal and Unstructured Grids, A. Taflove, Artech house boston london edition, 1995, pp. 343-393.
7. [7] Gustafsson B., Kreiss H.-O., Sundström A., Stability theory of difference approximations for initial boundary value problems, Math. Compos. 26 (1972) 649-686.
8. [8] Kim I.S., Hoefer W.J.R., A local mesh refinement algorithm for the time-domain finite-difference method to solve maxwell's equations, IEEE Trans. Microwave Theory Tech. 38 (6) (1990) 812-815.
9. [9] Yee K.S., Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media, IEEE Trans. on Antennas and propagation (1966) 302-307.