@article{M2AN_1994__28_3_243_0, author = {Goubet, O.}, title = {Separation of variables in the Stokes problem application to its finite element multiscale approximation}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {28}, year = {1994}, pages = {243-266}, mrnumber = {1275344}, zbl = {0819.76044}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_1994__28_3_243_0} }
Goubet, O. Separation of variables in the Stokes problem application to its finite element multiscale approximation. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 28 (1994) pp. 243-266. http://gdmltest.u-ga.fr/item/M2AN_1994__28_3_243_0/
[1] Preconditioning and two-level multigrid methods of arbitrary degree of approximation, Math. Comput., 40, 219-242. | MR 679442 | Zbl 0511.65079
and , 1983,[2] Error estimates for finite element solutions of the Stokes problem in the primitive variables, Numer. Math., 33, 211-224. | MR 549450 | Zbl 0423.65058
and , 1979,[3] Mixed and Hybrid Finite Element Methods, Springer Series in Computational Mathematics, vol.15, Springer-Verlag, New York. | MR 1115205 | Zbl 0788.73002
and , 1991,[4] Parallel multilevel preconditioners, Math. Comput., 55,1-22. | MR 1023042 | Zbl 0703.65076
, and , 1990,[5] The incremental unknowns method, I, II, Applied Mathematics Letters. | MR 1101880 | Zbl 0726.65133
and , 1991,[6] The Finite Element Method for Elliptic Problems, North-Holland. | Zbl 0383.65058
, 1977,[7] On the construction of families of approximate inertial manifolds, J. Diff. Equ., to appear. | MR 1187868 | Zbl 0760.34050
and ,[8] Convex Analysis and Variational Problems, North-Holland, Amsterdam. | MR 463994 | Zbl 0322.90046
and , 1976,[9] Approximate inertial manifolds for the sine-Gordon equation, J. Diff. and Integ. Equ., 4, 1169-1194. | MR 1133751 | Zbl 0748.35039
, 1991,[10] Modelling of the interaction of small and large eddies in two-dimensional turbulent flows, Math, Model. Numer. Anal, 22, 93-114. | Numdam | MR 934703 | Zbl 0663.76054
, and , 1988,[11] Inertial manifolds for nonlinear evolutionary equations, J. Diff. Equ., 73,309-353. | MR 943945 | Zbl 0643.58004
, and , 1988,[12] Finite Element Methods for Navier-Stokes Equations, Springer Series in Computational Mathematics, vol. 5, Springer-Verlag, New York. | MR 851383 | Zbl 0585.65077
and , 1986,[13] Construction of approximate inertial manifolds using wavelets, SIAM J. Math. Anal., 23,1455-1481. | MR 1185638 | Zbl 0770.35003
, 1992,[14] Separation des variables dans le probleme de Stokes. Application à son approximation multiéchelles éléments finis, C. R. Acad. Sci.Paris, 315, Série I, 1315-1318. | MR 1194543 | Zbl 0763.76043
, 1992,[15] Boundary Value Problems in Non-smooth Domains, Univ.of Maryland, Départ, of Math., Lecture Notes n° 19.
, 1980,[16] Nonlinear Galerkin methods, SIAM J. Numer. Anal., 26, 1139-1157. | MR 1014878 | Zbl 0683.65083
and , 1989,[17] Nonlinear Galerkin methods, the finite elements case, Numer. Math., 57,1-22. | MR 1057121 | Zbl 0702.65081
and , 1990,[18] Thesis, Université de Paris-Sud.
, 1992,[19] Localization and approximation of attractors for the Ginzburg-Landau equation, J. Dynamic and Diff. Equ., to appear. | MR 1129558 | Zbl 0751.34036
and ,[20] Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Appl. Math. Sci., 68. | MR 953967 | Zbl 0662.35001
, 1988,[21] Attractors for the Navier-Stokes equations, localization and approximation, J. Fac. Sci. Tokyo, Sec. IA, 36, 629-647. | MR 1039488 | Zbl 0698.58040
, 1989,[22] Inertial manifolds and multigrid methods, SIAM J. Math. Anal., 21, 154-178. | MR 1032732 | Zbl 0715.35039
, 1990,[23] Navier-Stokes Equations, 3rd ed., North-Holland, Amsterdam. | MR 769654 | Zbl 0568.35002
, 1984,[24] Error estimates for a mixed finite element approximation of the Stokes equations, RAIRO Numer. Anal., 18, 175-182. | Numdam | MR 743884 | Zbl 0557.76037
, 1984,[25] On the multi-level spliting of finite element spaces, Numer. Math., 49, 379-412. | Zbl 0608.65065
, 1986,