Méthodes multi-résolution auto-adaptatives en éléments finis : application aux équations de la mécanique des fluides
Thèses d'Orsay, no. 445 (1996) , 186 p. 
@phdthesis{BJHTUP11_1996__0445__P0_0,
     author = {Calgaro, Caterina},
     title = {M\'ethodes multi-r\'esolution auto-adaptatives en \'el\'ements finis : application aux \'equations de la m\'ecanique des fluides},
     series = {Th\`eses d'Orsay},
     publisher = {Universit\'e de Paris-Sud Centre d'Orsay},
     number = {445},
     year = {1996},
     language = {fr},
     url = {http://archive.numdam.org/item/BJHTUP11_1996__0445__P0_0/}
}
TY  - BOOK
AU  - Calgaro, Caterina
TI  - Méthodes multi-résolution auto-adaptatives en éléments finis : application aux équations de la mécanique des fluides
T3  - Thèses d'Orsay
PY  - 1996
IS  - 445
PB  - Université de Paris-Sud Centre d'Orsay
UR  - http://archive.numdam.org/item/BJHTUP11_1996__0445__P0_0/
LA  - fr
ID  - BJHTUP11_1996__0445__P0_0
ER  - 
%0 Book
%A Calgaro, Caterina
%T Méthodes multi-résolution auto-adaptatives en éléments finis : application aux équations de la mécanique des fluides
%S Thèses d'Orsay
%D 1996
%N 445
%I Université de Paris-Sud Centre d'Orsay
%U http://archive.numdam.org/item/BJHTUP11_1996__0445__P0_0/
%G fr
%F BJHTUP11_1996__0445__P0_0
Calgaro, Caterina. Méthodes multi-résolution auto-adaptatives en éléments finis : application aux équations de la mécanique des fluides. Thèses d'Orsay, no. 445 (1996), 186 p. http://numdam.org/item/BJHTUP11_1996__0445__P0_0/

[1] C. Calgaro Méthodes multi-résolution auto-adaptatives en éléments finis : application aux équations de la mécanique des fluides (1996) Thèse Univ. Paris-Orsay : to appear

[2] P. Constantin, C. Foias, O. Manley and R. Temam Determining modes and fractal dimension of turbulent flows (1985) J. Fluid Mech., vol 150, pp 427-440 | Zbl

[3] A. Debussche, T. Dubois and R. Temam The nonlinear Galerkin method: a multi-scale method applied to the simulation of homogeneous turbulent flow (1995) Theoret. and Comput. Fluid Dynamics, vol 7, pp. 279-315 | Zbl | DOI

[4] T. Dubois Simulation numérique d'écoulements homogènes et non-homogènes par des méthodes multi-résolution (1993) Thèse Univ. Paris-Orsay

[5] T. Dubois, F. Jauberteau and R. Temam Solution of the incompressible Navier-Stokes equations by the Nonlinear Galerkin Method (1993) J. Scient. Computing, vol 8, pp 167-194 | Zbl | DOI

[6] T. Dubois, F. Jauberteau and R. Temam Dynamical multilevel methods in turbulence simulation Computational Fluid Dynamics Review : to appear | Zbl

[7] C. Foias, M.S. Jolly, I.G. Kevrekidis, G.R. Sell and E.S. Titi On the computation of inertial manifolds (1988) Physics Letters, vol A 131, pp 433-436 | DOI

[8] C. Foias and R. Temam Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations (1979) J. Math. Pures et Appl., vol 58, pp 339-368 | Zbl

[9] C. Foias, G.R. Sell and R. Temam Inertial manifolds for nonlinear evolutionary equations (1988) J. Diff Equ., vol 73, pp 309-353 | Zbl | DOI

[10] C. Foias, O. Manley and R. Temam Sur l'interaction des petits et grands tourbillons dans les écoulements turbulents (1987) C.R. Acad. Sci. Paris Série I, 305, pp 497-500 | Zbl

[11] C. Foias, O. Manley and R. Temam On the interaction of small and large eddies in two dimensional turbulent flows (1988) Math. Model. and Numer. Anal., vol 22, pp 93-114 | Zbl | Numdam | DOI

[12] P.C. Jain and D. N. Holla Numerical solutions of coupled Burgers' equations (1978) Int. J. Nonlinear Mech., vol 13, pp 213-222 | Zbl | DOI

[13] F. Jauberteau Résolution numérique des équations de Navier-Stokes instationnaires par méthodes spectrales. Méthode de Galerkin non linéaire (1990) Thèse Univ. Paris-Orsay

[14] J. Laminie, F. Pascal and R. Temam Implementation of finite element nonlinear Galerkin methods using hierarchical bases (1993) J. Comp. Mech., vol 11, pp 384-407 | Zbl | DOI

[15] J. Laminie, F. Pascal and R. Temam Implementation and numerical analysis of the nonlinear Galerkin methods with finite elements discretization (1994) Applied Numerical Mathematics, vol 15, pp 219-246 | Zbl | DOI

[16] M. Marion and R. Temam Nonlinear Galerkin Methods (1989) SIAM J. Math. Anal., vol 26, pp 1139-1157 | Zbl

[17] M. Marion and R. Temam Nonlinear Galerkin Methods : the finite elements case (1990) Num. Math., vol 57, pp 205-226 | Zbl | DOI

[18] F. Pascal Méthodes de Galerkin non linéaires en discrétisation par éléments finis et pseudospectrale. Application à la mécanique des fluides (1992) Thèse Univ. Paris-Orsay

[19] R. Temam Sur l'approximation des équations de Navier-Stokes (1966) C.R. Acad. Sci. Paris, Ser. A, 262, pp 219-221 | Zbl

[20] R. Temam Navier-Stokes equations (1984) North Holland ; Amsterdam | Zbl

[21] R. Temam Infinite dimensional dynamical systems in mechanics and physics (1988) Applied Mathematical Sciences 68, Springer Verlag ; New-York | Zbl | DOI

[22] R. Temam Inertial manifolds and multigrid methods, (1990) SIAM J. Math. Anal., vol 21, pp 154-178 | Zbl | DOI

[23] H. Yserentant On the multi-level splitting of finite element spaces (1986) Num. Math., vol 49, pp 379-412 | Zbl | DOI

[24] O.C. Zienciewicz, D.W. Kelly, J. Gago, I. Babuska Hierarchical finite element approaches, error estimates and adaptive refinement The mathematics of finite elements and applications IV (J.R. Whiteman ed.) (1982) Uxbridge , London - Academics Press | Zbl

[1] R.E. Bank, T.E. Dupont, H. Yserentant The hierarchical basis multigrid method (1988) Numer. Math., vol 52, pp 427-458 | Zbl | DOI

[2] M. Bercovier Perturbation of mixed variational problems. Application to mixed finite element methods (1978) R.A.I.R.O. Num. Analysis, vol 12, n 3, pp 211-236 | Zbl | Numdam

[3] M. Bercovier, M. Engelman A finite element for the numerical solution of viscous incompressible flows (1979) Journal of Computational Physics, vol 30, pp 181-201 | Zbl | DOI

[4] C.H. Bruneau, C. Jouron An efficient scheme for solving steady incompressible Navier-Stokes equations (1990) Journal of Computational Physics, vol 89, pp 389-413 | Zbl | DOI

[5] M. Bercovier, O. Pironneau Error estimates for finite element method solution of the Stokes problem in the primitive variables (1973) Numer. Math., vol 33, pp 211-224 | Zbl | DOI

[6] F. Brezzi, M. Fortin Mixed and hybrid finite element methods (1991) Springer-Verlag ; New York | Zbl | DOI

[7] J. Cahouet On some difficulties occurring in the simulation of the imcompressible fluid flows by Domain Decomposition methods (1987) Proceedings of the 1st International Symposium on Domain Decomposition Methods for P.D.E. (Paris) ; SIAM ; pp 313-332 | Zbl

[8] J.P. Chehab Solution of generalized Stokes problems using hierarchical methods and Incremental Unknowns (1996) Applied Numerical Mathematics, vol 21, pp 9-42 | Zbl | DOI

[9] A.J. Chorin On the convergence of discrete approximations to the Navier-Stokes equations (1969) Math. Comp., vol 23, pp 341-353 | Zbl | DOI

[10] Z. Cai, C.I. Goldstein, J.E. Pasciak Multilevel iteration for mixed finite element systems with penalty (1993) SIAM J. Sci. Comput., vol 14, n 5, pp 1072-1088 | Zbl | DOI

[11] E. Cuthill, J. Mckee Reducing the bandwidth of sparse symmetric matrices (1969) Proceedings of the 24th National Conference of the ACM, pp 157-172

[12] G.F. Carey, K.C. Wang, W.D. Joubert Performance of iterative methods for newtonian and generalized neutonian flows (1989) Int. J. of Num. Meth. in Fluids, vol 9, pp 127-150 | Zbl | DOI

[13] I. Ekeland, R. Temam Analyse convexe et problèmes variationnels (1974) Dunod ; Paris | Zbl

[14] M. Fortin, R. Glowinski Méthodes de lagrangien augmenté (1982) Dunod ; Paris | Zbl

[15] C. Farhat, F.X. Roux Implicit parallel processing in structural mechanics (1994) Comput. Mech. Advances ; North-Holland, vol 2, pp 1-124 | Zbl

[16] A. George, J.R. Gilbert, J.W.H. Liu Ed. Graph theory and sparse matrix computation (1993) Springer-Verlag ; New York | Zbl | DOI

[17] O. Goyon High-Reynolds number solutions of Navier-Stokes equations using Incremental Unknowns (1996) Computer Methods in Appl. Mech. and Eng., vol 130, pp 319-335 | Zbl | DOI

[18] U. Ghia, K.N. Ghia, C.T. Shin High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method (1982) Journal of Computational Physics, vol 48, pp 387-411 | Zbl | DOI

[19] V. Girault, P.A. Raviart Finite element methods for Navier-Stokes equations ; theory and algorithms (1986) Springer-Verlag ; Berlin | Zbl | DOI

[20] G. Golub, C. Van Loan Matrix compulations (1983) North Oxford Academic, Oxford | Zbl

[21] C. Jouron (1996) Communication privée

[22] J. Laminie Quelques aspects de la résolution numérique de problèmes de la mécanique des fluides : discrétisation par éléments finis, mise en œuvre sur calculateurs parallèles (1995) Thèse d'état - Orsay - France

[23] J. Laminie, F. Pascal and R. Temam Implementation and numerical analysis of the nonlinear Galerkin methods with finite elements discretization (1994) Applied Numerical Mathematics, vol 15, pp 219-246 | Zbl | DOI

[24] P. Le Tallec Domain decomposition methods in computational mechanics (1994) Comput. Mech. Advances ; North-Holland, vol 1, pp 121-220 | Zbl

[25] T.A. Manteuffel Shifted incomplete Cholesky factorization (1978) Sparse Matrix Proceedings, SIAM Philadelphia, pp 41-61 | Zbl

[26] T.A. Manteuffel An incomplete factorization technique for positive definite linear systems (1980) Mathematics of Computation, vol 34, n 150, pp 473-497 | Zbl | DOI

[27] F. Pascal Méthodes de Galerkin non linéaires en discrétisation par éléments finis et pseudospectrale. Application à la mécanique des fluides (1992) Thèse Univ. Paris-Orsay

[28] F. Pascal (1996) Communication privée

[29] P. Poullet 1) Simulation de la turbulence par la méthode des Grandes Echelles 2) Résolution d'équations de la mécanique des fluides par la méthode des Inconnues Incrémentales (1996) Thèse Univ. Paris-Orsay

[30] J. Shen Hopf bifurcation of the unsteady regularized driven cavity flow (1991) Journal of Computational Physics, vol 95, pp 228-245 | Zbl | DOI

[31] J. Shen On error estimates of the penalty method for unsteady Navier-Stokes equations (1995) SIAM J. Mumer. Anal., vol 32, n. 2, pp 386-403 | Zbl | DOI

[32] J. Shen A new pseudocompressibility method for the incompressible Navier-Stokes equations (1996) Applied Numerical Mathematics, vol. 21, pp 71-90 | Zbl | DOI

[33] R. Temam Une méthode d'approximation de la solution des équations de Navier-Stokes (1968) Bull. Soc. Math. France, vol 96, pp 115-152 | Zbl | Numdam | DOI

[34] R. Temam Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires I (1969) Arch. Rational Mech. Anal., vol 32, pp 135-153 | Zbl | DOI

[35] R. Temam Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires II (1969) Arch. Rational Mech. Anal., vol 33, pp 377-385 | Zbl | DOI

[36] R. Temam Navier-Stokes equations (1984) North Holland; Amsterdam | Zbl

[37] F. Thomasset Implementation of finite element methods for Navier-Stokes equations (1981) Springer-Verlag ; New York | Zbl | DOI

[38] H. Yserentant On the multi-level splitting of finite element spaces (1986) Num. Math., vol 49, pp 379-412 | Zbl | DOI