A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part II: Analysis

Numerische Mathematik

Volumn 95, Issue 2, 2003, Pages 223-251

  Collino, F ^a   Fouquet, T ^a   Joly, P ^a  

^a INRIA ROCQUENCOURT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042763515     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-002-0447-4     Document Type: Article

References (8)

1. Chevalier, M.W., Luebbers, R.J.: FDTD Local Grid with Material Traverse. IEEE Trans. Antennas and Propagation 45(3), 411-421 (1997)
2. Collino, F., Fouquet, T., Joly, P.: A conservative space-time mesh refinement method for the 1-d wave equations: Construction. Numer. Math. 95(2), 197-221 (2003)
3. Elliot, D.F., Ramamohan rao, K.: Fast Transforms Algorithms Analyses Applications., volume H-19. Academic Press NY, London, 1982
4. Fouquet, T.: Raffinement de maillage spatio temporel pour les équations de Maxwell. Université Paris IX Dauphine, June 2000
5. 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), 812-815 (1990)
6. Kunz, K.S., Simpson, L.: A technique for increasing the resolution of finite-difference solutions to the Maxwell equations. IEEE Trans. Electromagn. Compat. EMC-23, 419-422 (1981)
7. Prescott, D.T., Shuley, N.V.: A method for incorporating different sized cells into the finite-difference time-domain analysis technique. IEEE Microwave Guided Wave Lett. 2, 434-436 (1992)
8. Collino, F., Fouquet, T., Joly, P.: Analyse numérique d'une méthode de raffinement demaillage espace-temps pour l'équation des ondes. INRIA, 3474 1998