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An analysis of particle methods

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Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 1127))

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References

  1. C. Bardos, U. Frisch: "Finite-time regularity for bounded and unbounded ideal incompressible fluids using Hölder estimates", Turbulence and Navier-Stokes equations (R. Temam ed.), Lecture Notes in Mathematics 565, Springer Verlag, Berlin 1976.

    Google Scholar 

  2. J.T. Beale, A. Majda: "Rates of convergence for viscous splitting of the Navier-Stokes equations", Math. Comp. 31 (1981), pp.243–259.

    Article  MathSciNet  MATH  Google Scholar 

  3. J.T. Beale, A. Majda: "Vortex methods I: Convergence in three dimensions", Math. Comp. 32 (1982), pp.1–27.

    MathSciNet  MATH  Google Scholar 

  4. J.T. Beale, A. Majda: "Vortex methods II: Higher order accuracy in two and three dimensions", Math. Comp. 32 (1982), pp. 29–52.

    MathSciNet  MATH  Google Scholar 

  5. P.G. Ciarlet: "The finite element method for elliptic problems", North Holland, Amsterdam 1978.

    MATH  Google Scholar 

  6. G.H. Cottet: "Méthodes particulaires pour l'équation d'Euler dans le plan", Thèse de 3e cycle, Université P. et M. Curie, Paris 1982.

    Google Scholar 

  7. O. Hald: "Convergence of vortex methods II", SIAM J. Numer. Anal. 16 (1979), pp.726–755.

    Article  MathSciNet  MATH  Google Scholar 

  8. F.H. Harlow: "The particle in cell computing method for fluid dynamics", Methods in Computational Physics (B. Alder, S. Fernbach & M. Rotenberg ed.) Vol.3, Academic Press, New York 1964.

    Google Scholar 

  9. R.W. Hockney, J.W. Eastwood: "Computer simulation using particles, Mc Graw-Hill, New York 1981.

    MATH  Google Scholar 

  10. T. Kato: "Non stationnary flows of viscous and ideal fluids in ℝ3n", J. Funct. Anal. 9 (1972), pp.296–305.

    Article  Google Scholar 

  11. A. Leonard: "Vortex methods for flow simulations", J. Comput. Phys. 37 (1980), pp.289–335.

    Article  MathSciNet  MATH  Google Scholar 

  12. F.J. Mc Grath: "Nonstationnary plane flow of viscous and ideal fluids", Arch. Rat. Mech. Anal. 27 (1968), pp.328–348.

    MathSciNet  Google Scholar 

  13. R. Temam: "Local existence of C solutions of the Euler equations of incompressible perfect fluids"; Turbulence and Navier-Stokes equations (R. Temam ed.), Lecture Notes in Mathematics 565, Springer Verlag, Berlin 1976.

    Chapter  Google Scholar 

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Franco Brezzi

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© 1985 Springer-Verlag

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Raviart, P.A. (1985). An analysis of particle methods. In: Brezzi, F. (eds) Numerical Methods in Fluid Dynamics. Lecture Notes in Mathematics, vol 1127. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074532

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  • DOI: https://doi.org/10.1007/BFb0074532

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15225-5

  • Online ISBN: 978-3-540-39391-7

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