Free Access
Issue
ESAIM: M2AN
Volume 22, Number 4, 1988
Page(s) 625 - 653
DOI https://doi.org/10.1051/m2an/1988220406251
Published online 31 January 2017
  1. M. ABRAMOWITZ & A. STEGUN, Handbook of Mathematical Functions. Dover Publications Inc., New York, 1965. [Zbl: 0171.38503]
  2. J. P. BENQUE, G. LABADIE & J. RONAT, A new finite element method for the Navier-Stokes equations coupled with a temperature equation. Proc. 4th Int. Symp. on Finite Element Methods in Flow Probiems (Ed. T. Kawai), North-Holland, Amsterdam, Oxford, New York, 1982, pp. 295-301. [MR: 706421] [Zbl: 0508.76049]
  3. M. BERCOVIER& O. PIRONNEAU, Characteristics and the finite element method. Proc. 4th Int. Symp. on Finite Element Methods in Flow Problems (Ed. T. Kawai), North-Holland, Amsterdam, Oxford, New York, 1982, pp. 67-63. [MR: 706421] [Zbl: 0508.76007]
  4. P. N. CHILDS & K. W. MORTON, Characteristic Galerkin methods for scalar conservation laws in on dimension. Oxford University Computing Laboratory Report No. 86/5, 1986. To appear in SIAM J. Numerical Analysis. [Zbl: 0728.65086]
  5. A. J. CHORIN & K. W. MORTON, A Mathematical Introduction to Fluid Mechanics (Universitext). Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, 1984. [Zbl: 0417.76002]
  6. J. DOUGLAS Jr & T. F. RUSSELL, Numerical methods for convention-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. SIAM J. Numer. Anal., 19 (1982), pp. 871-885. [MR: 672564] [Zbl: 0492.65051]
  7. J. W. EASTWOOD, Privarte communication.
  8. F. H. HARLOW, The particle in celle computing method for fluid dynamics. Methods in Computational Physis (Ed. B. Adler, S. Fernbach & M. Rotenberg), Vol. 3, Academic Press, New York, 1964.
  9. R. W. HOCKNEY & J. W. EASTWOOD, Computer Simulation Using Particles. McGraw-Hill, New York, 1981. [Zbl: 0662.76002]
  10. Z. KOPAL, Numerical Analysis. Chapman & Hall Ltd. London, 1961. [Zbl: 0101.33701]
  11. I. V. KRYLOV, Approximate Calculation of Integrals. Mac Millan, New York, 1962. [MR: 144464] [Zbl: 0111.31801]
  12. P. LESAINT, Numerical solution of the equation of continuity. Topics in Numerical Analysis III (Ed. J. J. H. Miller), Academic Press, London, New York, San Francisco, 1977, pp. 199-222. [MR: 658144] [Zbl: 0435.76010]
  13. K. W. MORTON & A. PRIESTLEY, On characteristic and Lagrange-Galerkin methods. Pitman Research Notes in Mathematics Series (Ed. D. F. Griffiths & G. A. Watson), Longman Scientific and Technical, Harlow, 1986.
  14. K. W. MORTON & P. SWEBY, A comparison of flux limited difference methods and characteristic Galerkin methods for shock modelling. To appear in J. Comput. Phys. [Zbl: 0632.76077]
  15. O. PIRONNEAU, On the transport diffusion algorithm and its application to the Navier-Stokes equations, Numer. Math., 38 (1982), pp. 309-332. [EuDML: 132765] [MR: 654100] [Zbl: 0505.76100]
  16. T. F. RUSSELL, Time stepping along characteristics with incomplete iteration for a Galerin approcimation of miscible displacement in porus media. Ph. D. Thesis, University of Chicago, 1980. [Zbl: 0594.76087]
  17. E. SÜLI, Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations, Numer. Math., 53 (1988), pp. 459-483. [EuDML: 133286] [MR: 951325] [Zbl: 0637.76024]

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