@article{M2AN_2000__34_2_439_0, author = {Marion, Martine and Mollard, Adeline}, title = {An adaptive multi-level method for convection diffusion problems}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {34}, year = {2000}, pages = {439-458}, mrnumber = {1765669}, zbl = {0952.65067}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_2000__34_2_439_0} }
Marion, Martine; Mollard, Adeline. An adaptive multi-level method for convection diffusion problems. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 34 (2000) pp. 439-458. http://gdmltest.u-ga.fr/item/M2AN_2000__34_2_439_0/
[1] Finite elements and characteristics for some parabolic-hyperbolic problems. Appl. Math. Modelling 7 (1983) 89-96. | MR 703386 | Zbl 0505.65055
, and ,[2] A high-order characteristics/finite element method for imcompressible Navier-Stokes equations. Rapport de l'Université Pierre et Marie Curie, R92032 (1992). | Zbl 0904.76040
, , and ,[3] Multi-level methods in space and time for Navier-Stokes equations. SIAM J. Numer. Anal. 34 (1997) 1574-1599. | MR 1461797 | Zbl 0897.76070
and ,[4] Adaptative multi-level methods in space and time for paraboloc problems- The periodic case. Math. of Comp. (to appear). | MR 1648359 | Zbl 0941.65101
and ,[5] The nonlinear Galerkin method: A multi-scale method applied to the simulation of turbulent flows. Theoret. Comput. Fluid Dynamics 7 (1995) 279-315. | Zbl 0838.76060
, and ,[6] 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. | MR 672564 | Zbl 0492.65051
and ,[7] Simulation numérique d'écoulement homogènes et non-homogènes par des méthodes multi-résolution, Thèse, Université Paris-Sud (1993).
,[8] Adaptative finite element methods for parabolic problems I : A linear model problem. SIAM J. Numer. Anal. 28 (1991) 43-77. | MR 1083324 | Zbl 0732.65093
and ,[9] Modelling of the interaction of small and large eddies in two-dimensional turbulent flows. M2AN 22 (1998) 93-114. | Numdam | MR 934703 | Zbl 0663.76054
, and ,[10] Adaptative Lagrange-Galerkin methods for unsteady convection-dominated diffusion problems, Oxford University Computing Laboratory Report, 95/24 (1995).
and ,[11] Résolution numérique des équations de Navier-Stokes instationnaires par méthodes spectrales. Méthode de Galerkin non linéaire, Thèse, Université Paris-Sud (1990).
,[12] A multi-level characteristics method for periodic convection-dominated diffusion problems. Numer. Math. PDEs (to appear). | Zbl 0953.65065
and ,[13] Error estimates on a new nonlinear Galerkin method based on two-grid finite elements. SIAM J. Numer. Anal. 32 (1995) 1170-1184. | MR 1342288 | Zbl 0853.65092
and ,[14] 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] Finite element methods for fluids, Masson (1989). | MR 1030279 | Zbl 0748.76003
,[16] Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes Equations. Numer. Math. 53 (1988) 459-483. | MR 951325 | Zbl 0637.76024
,[17] A spectral method of characteristics for hyperbolic problems. SIAM J. Numer. Anal. 28 (1991) 423-445. | MR 1087513 | Zbl 0743.65080
and ,