Free Access
Issue
ESAIM: M2AN
Volume 34, Number 2, March/April 2000
Special issue for R. Teman's 60th birthday
Page(s) 439 - 458
DOI https://doi.org/10.1051/m2an:2000150
Published online 15 April 2002
  1. M. Bercovier, O. Pironneau and V. Sastri, Finite elements and characteristics for some parabolic-hyperbolic problems. Appl. Math. Modelling 7 (1983) 89-96. [CrossRef] [MathSciNet]
  2. K. Boukir, Y. Maday, B. Metivet and R. Razafindrakoto, A high-order characteristics/finite element method for imcompressible Navier-Stokes equations, Rapport de l'Université Pierre et Marie Curie, R 92032 (1992).
  3. J.B. Burie and M. Marion, Multi-level methods in space and time for Navier-Stokes equations. SIAM J. Numer. Anal. 34 (1997) 1574-1599. [CrossRef] [MathSciNet]
  4. J.B. Burie and M. Marion, Adaptative multi-level methods in space and time for paraboloc problems- The periodic case. Math. of Comp. (to appear).
  5. A. Debussche, T. Dubois and R. Temam, The nonlinear Galerkin method: A multi-scale method applied to the simulation of turbulent flows. Theoret. Comput. Fluid Dynamics 7 (1995) 279-315. [CrossRef]
  6. J. Douglas and T.F. Russel, Numerical methods for convection dominated diffusion problems based on combining the method of caracteristics with finite element methods or finite difference method. SIAM J. Numer. Anal. 19 (1982) 871-885. [CrossRef] [MathSciNet]
  7. T. Dubois, Simulation numérique d'écoulement homogènes et non-homogènes par des méthodes multi-résolution, Thèse, Université Paris-Sud (1993).
  8. K. Eriksson and C. Johnson, Adaptative finite element methods for parabolic problems I: A linear model problem. SIAM J. Numer. Anal. 28 (1991) 43-77. [CrossRef] [MathSciNet]
  9. C. Foias, O. Manley and R. Temam, Modelling of the interaction of small and large eddies in two-dimensional turbulent flows. M2AN 22 (1998) 93-114.
  10. P. Houston and E. Suli, Adaptative Lagrange-Galerkin methods for unsteady convection-dominated diffusion problems, Oxford University Computing Laboratory Report, 95/24 (1995).
  11. F. Jauberteau, Résolution numérique des équations de Navier-Stokes instationnaires par méthodes spectrales. Méthode de Galerkin non linéaire, Thèse, Université Paris-Sud (1990).
  12. M. Marion and A. Mollard, A multi-level characteristics method for periodic convection-dominated diffusion problems. Numer. Meth. PDEs. (to appear).
  13. M. Marion and J. Xu, Error estimates on a new nonlinear Galerkin method based on two-grid finite elements. SIAM J. Numer. Anal. 32 (1995) 1170-1184. [CrossRef] [MathSciNet]
  14. A. Mollard, Méthodes de caractéristiques multi-niveaux en espace et en temps pour une équation de convection-diffusion - Cas d'une approximation pseudo-spectrale, Thèse, École Centrale de Lyon (1998).
  15. O. Pironneau, Finite element methods for fluids, Masson (1989).
  16. E. Suli, Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes Equations. Numer. Math. 53 (1988) 459-483. [CrossRef] [MathSciNet]
  17. E. Suli and A.F. Ware, A spectral method of characteristics for hyperbolic problems. SIAM. J. Numer. Anal. 28 (1991) 423-445. [CrossRef] [MathSciNet]

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