Numerical analysis of coupling for a kinetic equation

Moulay Tidriri

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1999)

  • Volume: 33, Issue: 6, page 1121-1134
  • ISSN: 0764-583X

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Tidriri, Moulay. "Numerical analysis of coupling for a kinetic equation." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 33.6 (1999): 1121-1134. <http://eudml.org/doc/193964>.

@article{Tidriri1999,
author = {Tidriri, Moulay},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {linearized Carleman model; existence; asymptotic behaviour; time-marching algorithm; convergence},
language = {eng},
number = {6},
pages = {1121-1134},
publisher = {Dunod},
title = {Numerical analysis of coupling for a kinetic equation},
url = {http://eudml.org/doc/193964},
volume = {33},
year = {1999},
}

TY - JOUR
AU - Tidriri, Moulay
TI - Numerical analysis of coupling for a kinetic equation
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1999
PB - Dunod
VL - 33
IS - 6
SP - 1121
EP - 1134
LA - eng
KW - linearized Carleman model; existence; asymptotic behaviour; time-marching algorithm; convergence
UR - http://eudml.org/doc/193964
ER -

References

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  1. [1] T. Carleman, Problèmes mathématiques dans la théory cinétique des gaz Publ. Sc. Inst. Mittag-Leffler, Upsala (1957). Zbl0077.23401MR98477
  2. [2] E. Hille and R. S. Phillips, Functional Analysis and Semi-groups. Amer. Math. Soc. (1974). Zbl0392.46001MR423094
  3. [3] J. -F. Bourgat, P. Le Tallec and M. D. Tidriri, Coupling Navier-Stokes and Boltzmann. J. Comput. Phys. 127 (1996) 227-245. Zbl0860.76080MR1611303
  4. [4] J. -F. Bourgat, P. Le Tallec, F. Malhnger, Y. Qiu and M. D. Tidriri, Numerical coupling of Boltzmann and Navier-Stokes equations, in Proceedings Sixth I. U. T. A. M. (International Union of Theoretical and Applied Mechanics), Conference on Rarefied Flows for Reentry Problems, Marseille, France (1992). 
  5. [5] J. -F. Bourgat, P. Le Tallec, B. Perthame and Y. Qiu, Coupling Boltzmann and Euler equations without overlapping, in Domain décomposition methods in science and engineering, A Quarterom et al Eds, CM 157, AMS (1994) 377-388. Zbl0796.76063MR1262639
  6. [6] P. Le Taliec and M. D. Tidriri, Convergence analysis of domain decomposition algorrithms with full over lapping for the advection-diffusion problems ICASE Report No 96-37; Math. Comp. 68 (1999) 585-606. Zbl1043.65112MR1613715
  7. [7] P. Le Tallec and M. D. Tidriri, Application of maximum principles to the analysis of a coupling time marching algorithm. J. Math. Anal. Appl. 229 158-169 (1999). Zbl0922.35029MR1664336
  8. [8] P. Le Tallec and M. D. Tidriri, Kinetic upgrade of Navier-Stokes equations for transitional flows. Rapport Intermédiaire, Contrat 6465/91 ATP DPH (1992). 
  9. [9] P. Le Tallec and M. D. Tidriri, Kinetic upgrade of Navier-Stokes equations for Transitional Flows. Rapport de contrat HERMES R/Q 6465/91, INRIA (1993). 
  10. [10] A. Lukshin, H. Neunzert and J. Struckmeier, Coupling of Navier-Stokes and Boltzmann regions Interim Report for the Hermes Project DPH 6174/91 (1992). 
  11. [11] F. Mallinger, Couplage adaptatif des équations de Boltzmann et de Navier-Stokes Ph. D. thesis, Umversity of Paris IX, France (1996). 
  12. [12] M. D. Tidriri, Couplage d'approximations et de modèles de types différents dans le calcul d'écoulements externes. Ph. D. thesis, University of Paris IX, France (1992). 
  13. [13] M. D. Tidriri, Domain Decomposition for Incompatible nonlinear models INRI Research Report RR-2378 (1994). 
  14. [14] M. D. Tidriri, Domain decomposition for compressible Navier-Stokes equations with different discretizations and formulations J. Comput. Phys. 119 (1995) 271-282. Zbl0834.76071MR1611299
  15. [15] M. D. Tidriri, Asymptotic analysis of a coupled System of kinetic equations C. R. Acad. Zbl0945.76074
  16. Sci. Paris Sér. I. Math. 328 (1999) 637-642. MR1680029

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