@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},
year = {1996},
publisher = {Universit\'e de Paris-Sud Centre d'Orsay},
number = {445},
language = {fr},
url = {https://www.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 - https://www.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 https://www.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. https://www.numdam.org/item/BJHTUP11_1996__0445__P0_0/
[1] Méthodes multi-résolution auto-adaptatives en éléments finis : application aux équations de la mécanique des fluides (1996) Thèse Univ. Paris-Orsay : to appear
[2] , , and Determining modes and fractal dimension of turbulent flows (1985) J. Fluid Mech., vol 150, pp 427-440 | Zbl
[3] , and 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] Simulation numérique d'écoulements homogènes et non-homogènes par des méthodes multi-résolution (1993) Thèse Univ. Paris-Orsay
[5] , and Solution of the incompressible Navier-Stokes equations by the Nonlinear Galerkin Method (1993) J. Scient. Computing, vol 8, pp 167-194 | Zbl | DOI
[6] , and Dynamical multilevel methods in turbulence simulation Computational Fluid Dynamics Review : to appear | Zbl
[7] , , , and On the computation of inertial manifolds (1988) Physics Letters, vol A 131, pp 433-436 | DOI
[8] and 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] , and Inertial manifolds for nonlinear evolutionary equations (1988) J. Diff Equ., vol 73, pp 309-353 | Zbl | DOI
[10] , and 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] , and 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] and Numerical solutions of coupled Burgers' equations (1978) Int. J. Nonlinear Mech., vol 13, pp 213-222 | Zbl | DOI
[13] Résolution numérique des équations de Navier-Stokes instationnaires par méthodes spectrales. Méthode de Galerkin non linéaire (1990) Thèse Univ. Paris-Orsay
[14] , and Implementation of finite element nonlinear Galerkin methods using hierarchical bases (1993) J. Comp. Mech., vol 11, pp 384-407 | Zbl | DOI
[15] , and 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] and Nonlinear Galerkin Methods (1989) SIAM J. Math. Anal., vol 26, pp 1139-1157 | Zbl
[17] and Nonlinear Galerkin Methods : the finite elements case (1990) Num. Math., vol 57, pp 205-226 | Zbl | DOI
[18] Méthodes de Galerkin non linéaires en discrétisation par éléments finis et pseudospectrale. Application à la mécanique des fluides (1992) Thèse Univ. Paris-Orsay
[19] Sur l'approximation des équations de Navier-Stokes (1966) C.R. Acad. Sci. Paris, Ser. A, 262, pp 219-221 | Zbl
[20] Navier-Stokes equations (1984) North Holland ; Amsterdam | Zbl
[21] Infinite dimensional dynamical systems in mechanics and physics (1988) Applied Mathematical Sciences 68, Springer Verlag ; New-York | Zbl | DOI
[22] Inertial manifolds and multigrid methods, (1990) SIAM J. Math. Anal., vol 21, pp 154-178 | Zbl | DOI
[23] On the multi-level splitting of finite element spaces (1986) Num. Math., vol 49, pp 379-412 | Zbl | DOI
[24] , , , 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] , , The hierarchical basis multigrid method (1988) Numer. Math., vol 52, pp 427-458 | Zbl | DOI
[2] 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] , A finite element for the numerical solution of viscous incompressible flows (1979) Journal of Computational Physics, vol 30, pp 181-201 | Zbl | DOI
[4] , An efficient scheme for solving steady incompressible Navier-Stokes equations (1990) Journal of Computational Physics, vol 89, pp 389-413 | Zbl | DOI
[5] , 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] , Mixed and hybrid finite element methods (1991) Springer-Verlag ; New York | Zbl | DOI
[7] 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] Solution of generalized Stokes problems using hierarchical methods and Incremental Unknowns (1996) Applied Numerical Mathematics, vol 21, pp 9-42 | Zbl | DOI
[9] On the convergence of discrete approximations to the Navier-Stokes equations (1969) Math. Comp., vol 23, pp 341-353 | Zbl | DOI
[10] , , Multilevel iteration for mixed finite element systems with penalty (1993) SIAM J. Sci. Comput., vol 14, n 5, pp 1072-1088 | Zbl | DOI
[11] , Reducing the bandwidth of sparse symmetric matrices (1969) Proceedings of the 24th National Conference of the ACM, pp 157-172
[12] , , 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] , Analyse convexe et problèmes variationnels (1974) Dunod ; Paris | Zbl
[14] , Méthodes de lagrangien augmenté (1982) Dunod ; Paris | Zbl
[15] , Implicit parallel processing in structural mechanics (1994) Comput. Mech. Advances ; North-Holland, vol 2, pp 1-124 | Zbl
[16] , , Ed. Graph theory and sparse matrix computation (1993) Springer-Verlag ; New York | Zbl | DOI
[17] 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] , , 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] , Finite element methods for Navier-Stokes equations ; theory and algorithms (1986) Springer-Verlag ; Berlin | Zbl | DOI
[20] , Matrix compulations (1983) North Oxford Academic, Oxford | Zbl
[21] (1996) Communication privée
[22] 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] , and 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] Domain decomposition methods in computational mechanics (1994) Comput. Mech. Advances ; North-Holland, vol 1, pp 121-220 | Zbl
[25] Shifted incomplete Cholesky factorization (1978) Sparse Matrix Proceedings, SIAM Philadelphia, pp 41-61 | Zbl
[26] An incomplete factorization technique for positive definite linear systems (1980) Mathematics of Computation, vol 34, n 150, pp 473-497 | Zbl | DOI
[27] Méthodes de Galerkin non linéaires en discrétisation par éléments finis et pseudospectrale. Application à la mécanique des fluides (1992) Thèse Univ. Paris-Orsay
[28] (1996) Communication privée
[29] 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] Hopf bifurcation of the unsteady regularized driven cavity flow (1991) Journal of Computational Physics, vol 95, pp 228-245 | Zbl | DOI
[31] 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] A new pseudocompressibility method for the incompressible Navier-Stokes equations (1996) Applied Numerical Mathematics, vol. 21, pp 71-90 | Zbl | DOI
[33] 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] 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] 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] Navier-Stokes equations (1984) North Holland; Amsterdam | Zbl
[37] Implementation of finite element methods for Navier-Stokes equations (1981) Springer-Verlag ; New York | Zbl | DOI
[38] On the multi-level splitting of finite element spaces (1986) Num. Math., vol 49, pp 379-412 | Zbl | DOI





