@article{M2AN_1999__33_6_1121_0,
author = {Tidriri, Moulay},
title = {Numerical analysis of coupling for a kinetic equation},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {33},
year = {1999},
pages = {1121-1134},
mrnumber = {1736892},
zbl = {0948.76073},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_1999__33_6_1121_0}
}
Tidriri, Moulay. Numerical analysis of coupling for a kinetic equation. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 33 (1999) pp. 1121-1134. http://gdmltest.u-ga.fr/item/M2AN_1999__33_6_1121_0/
[1] , Problèmes mathématiques dans la théory cinétique des gaz Publ. Sc. Inst. Mittag-Leffler, Upsala (1957). | MR 98477 | Zbl 0077.23401
[2] and , Functional Analysis and Semi-groups. Amer. Math. Soc. (1974). | MR 423094 | Zbl 0392.46001
[3] , and , Coupling Navier-Stokes and Boltzmann. J. Comput. Phys. 127 (1996) 227-245. | MR 1611303 | Zbl 0860.76080
[4] , , , and , 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] , , and , 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. | MR 1262639 | Zbl 0796.76063
[6] and , 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. | MR 1613715 | Zbl 1043.65112
[7] and , Application of maximum principles to the analysis of a coupling time marching algorithm. J. Math. Anal. Appl. 229 158-169 (1999). | MR 1664336 | Zbl 0922.35029
[8] and , Kinetic upgrade of Navier-Stokes equations for transitional flows. Rapport Intermédiaire, Contrat 6465/91 ATP DPH (1992).
[9] and , Kinetic upgrade of Navier-Stokes equations for Transitional Flows. Rapport de contrat HERMES R/Q 6465/91, INRIA (1993).
[10] , and , Coupling of Navier-Stokes and Boltzmann regions Interim Report for the Hermes Project DPH 6174/91 (1992).
[11] , Couplage adaptatif des équations de Boltzmann et de Navier-Stokes Ph. D. thesis, Umversity of Paris IX, France (1996).
[12] , 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] , Domain Decomposition for Incompatible nonlinear models INRI Research Report RR-2378 (1994).
[14] , Domain decomposition for compressible Navier-Stokes equations with different discretizations and formulations J. Comput. Phys. 119 (1995) 271-282. | MR 1611299 | Zbl 0834.76071
[15] , Asymptotic analysis of a coupled System of kinetic equations C. R. Acad. | Zbl 0945.76074
Sci. Paris Sér. I. Math. 328 (1999) 637-642. | MR 1680029