Méthodes particulaires en mécanique des fluides et en physique des plasmas

 Access to full text

 Full (PDF)

1. C. Anderson and C. Greengard, 1985 : SIAM J. Numer. Anal.22 pp. 413 - 440. Zbl0578.65121MR787568
2. H. Babovsky, 1986 : Math. Meth. in the Appl. Sci.8 pp. 223 - 233. Zbl0609.76084MR845926
3. H. Babovsky, 1987 : A Convergence Proof for Nanbu's Boltzmann Simulation Scheme (preprint n° 119, University of Kaiserslautern, FRG). Zbl0669.76096MR987545
4. J.T. Beale and A. Majda, 1981 : Math. Comput.37 pp. 243 - 259. Zbl0518.76027MR628693
5. J.T. Beale and A. Majda, 1982 : Math. Comput.39 pp. 1-52. Zbl0488.76024MR658212
6. G.A. Bird, 1963 : Phys. Fluids6 p. 1518. 
7. G.A. Bird, 1970 : Phys. Fluids13 p. 2676. Zbl0227.76111
8. C.K. Birdsall, and A.B. Langdon, 1985 : Plasma Physics via Computer Simulations, Mc Graw-Hill, New-York. 
9. J.U. Brackbill, 1988 : J. Comput. Phys.75 pp. 469-492. Zbl0638.76068MR940818
10. J.U. Brackbill and B.I. Cohen (editors),1985 : Multiple Time Scales, Academic Press, New-York. MR807600
11. J.U. Brackbill and H.M. Ruppel, 1986 : J. Comput. Phys.65 pp. 314-343. Zbl0592.76090MR851901
12. J. Choquin and S. Huberson, 1986 : Particle Simulation of Viscous Flows (preprint, École Polytechnique, France). Zbl0596.76045
13. J.P. Choquin and B. Lucquin-Desreux, 1986 : Accuracy of the Deterministic Particle Method for the Navier-Stokes Equation (preprint). Zbl0664.76029MR860641
14. A.J. Chorin, 1973 : J. Fluid. Mech.57 p. 785. MR395483
15. J.P. Christiansen, 1973 : J. Comput. Phys.13 pp. 363-379. Zbl0267.76009
16. G.H. Cottet, 1982 : Méthodes Particulaires pour l'Équation d'Euler dans le Plan (thesis, University Paris 6, France). 
17. G.H. Cottet, 1987-a : Math. Comput.49 pp. 407-425. Zbl0652.65068MR906179
18. G.H. Cottet, 1987-b : to appear in Ann. Inst. Henri Poincaré, Anal. non linéaire. 
19. G.H. Cottet, 1988 : Boundary Conditions and Deterministic Vortex Methods for the Navier-Stokes Equations (preprint). Zbl0671.76047MR1001796
20. G.H. Cottet and S. Mas-Gallic, 1983-a : A Particle Method to solve Transport Diffusion Equations, Part 1 : The Linear Case. (to be published). Zbl0678.35077
21. G.H. Cottet, 1983-b : C.R. Acad. Sc.Paris297 pp. 133-136. Zbl0534.65077MR720926
22. G.H. Cottet, 1987 : A Particle Method to Solve transport Diffusion Equations, Part 2 : The Navier-Stokes Case (preprint, to be published). Zbl0678.35077
23. G.H. Cottet and P.A. Raviart, 1984 : SIAM J. Numer, Anal.21 p. 52. Zbl0549.65084MR731212
24. G.H. Cottet and P.A. Raviart, 1986 : Transp. Thory Stat. Phys.15 pp. 1-31. MR831210
25. P. Degond and F. Guyot, 1988 : Particle Simulations of the Semiconductor Boltzmann Equation for One Dimensional Inhomogeneous Structures (preprint, École Polytechnique, France). Zbl0731.65121
26. P. Degond and F.J. Mustieles, 1987 : A Deterministic Approximation of Diffusion Equations using Particles (preprint, École Polytechnique, France). Zbl0713.65090MR1037516
27. S.M. Deshpande, 1978 : Dept. Aero. Engng. Indian Inst. Science Report78, FM 4. 
28. R.A. Gingold and J.J. Monaghan, 1982 : J. Comput. Phys.46 pp. 429-453. Zbl0487.76010MR673709
29. C. Greengard, 1986 : Math. Comput.47 pp. 387-398. Zbl0617.65128MR856692
30. L. Greengard and V. Rokhlin, 1987 : J. Comput. Phys.73 pp. 325-348. Zbl0629.65005MR918448
31. O.E. Hald, 1979 : SIAM J. Numer. Anal.16 pp. 726-755. Zbl0427.76024MR543965
32. F.H. Harlow, 1956 : J. Assoc. Comp. Mach.3-4 p. 137. 
33. F.H. Harlow, 1964 : in Meth. Comp. Phys. vol 3, p. 319, Academic Press, New-York. 
34. R.W. Hockney and J.W. Eastwood, 1981 : Computer Simulations using Particles, Mc Graw-Hill, New-York. Zbl0662.76002
35. C. Lecot, 1988 : A Direct Simulation Monte Carlo Scheme and Uniformly Distributed Sequences for Solving the Boltzmann Equation (preprint n° 131, University of Kaiserslautern, FRG). Zbl0658.65144MR981669
36. A. Leonard, 1980 : J. Comput. Phys.37 pp. 289-335. Zbl0438.76009MR588256
37. A. Leonard, 1985 : Ann. Rev. Fluid Mech.17 pp. 523-559. Zbl0596.76026
38. S. Mas-Gallic, 1987 : Transp. Theory Stat. Phys.16 pp. 855-887. Zbl0658.76075MR906929
39. S. Mas-Gallic, and P. Degond, 1988 : The Weighted Particle Method for Convection-Diffusion Equations, Part 1 : The Case of an Isotropic Viscosity, and Part 2 : the Anisotropic Case (preprint, École Polyechnique, France). Zbl0676.65121MR983559
40. S. Mas-Gallic and F. Poupaud, 1987 : To appear in Transp. Theory Stat. Phys. 
41. S. Mas-Gallic and P.A. Raviart, 1987-a : Numer. Math.51 pp. 323-352. Zbl0625.65084MR895090
42. S. Mas-Gallic and P.A. Raviart, 1987-b : Particle Approximation of Convection-Diffusion Problems (unpublished). 
43. J.J. Monaghan, 1982 : SIAM J. Sci. Stat. Comput.3 pp. 422-433. Zbl0498.76010MR677096
44. J.J. Monaghan and R.A. Gingold, 1983 : J. Comput. Phys.32 pp. 374-389. Zbl0572.76059
45. K. Nanbu1982J. Phys. Soc. Jpn.49 p. 2042. 
46. K. Nanbu1986 : in "Proceedings of the 15-th International Symposium on Rarefied Gas Dynamics, Grado, Italy", V. Boffi and C. Cercignani, editors, p. 369, Teubner, Stuttgart. 
47. H. Neunzert, and J. Wick, 1980 : in Mathematical Method of Plasma Physics, R. Kress and J. Wick editors, p. 271, Verlag Peter D. Lang, Frankfurt a. M, Bern, Circencester. Zbl0508.00012MR713641
48. B. Niclot, P. Degond and F. Poupaud, 1988 : Deterministic Particle Simulations of the Boltzmann Transport Equation of Semiconductors (preprint) J. Comput. Phys., 78 pp 313-349. Zbl0662.65126
49. Ovadia1988 : Internal Report (Centre d'Etudes de Limeil-Valenton, France). 
50. Ovadia and P. A. Raviart, 1986 : Internal Report (Centre d'Études de Limeil-Valenton, France). 
51. P. A. Raviart, 1985 : in " CIME Course on Numerical Methods in Fluid Dynamics, Como, July 1983", Lecture Notes in Mathematics, Vol. 1127, Springer-Verlag, Berlin. Zbl0598.76003MR802214
52. P. A. Raviart1987 : Cours de l'École d'été CEA-EDF-INRIA, Juillet 1987. 
53. L. Reggiani (editor) 1985 : Hot-Electron Transport in Semiconductors, in Topics in Applied Physics vol. 58, Springer-Verlag, Berlin. Zbl0688.76064
54. V. Rokhlin1983 : J. Comput. Phys.60 pp. 187-207. Zbl0629.65122MR805870
55. L. Rosenhead1931 : Proc. Roy. Soc. London A 134 pp. 170-192 Zbl0003.08401JFM57.1109.04