Analysis of domain decomposition for non symmetric problems : application to the Navier-Stokes equations
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 26 (1992) no. 2, p. 289-307 
@article{M2AN_1992__26_2_289_0,
     author = {Sonke, L.},
     title = {Analysis of domain decomposition for non symmetric problems : application to the Navier-Stokes equations},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {Dunod},
     volume = {26},
     number = {2},
     year = {1992},
     pages = {289-307},
     zbl = {0739.76056},
     mrnumber = {1153003},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1992__26_2_289_0}
}

Sonke, L. Analysis of domain decomposition for non symmetric problems : application to the Navier-Stokes equations. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 26 (1992) no. 2, pp. 289-307. http://www.numdam.org/item/M2AN_1992__26_2_289_0/

[1] R. Glowinski, J. Periaux and Q. V. Dihn, Domain Decomposition Methods for Nonlinear Problems in Fluid Dynamics, INRIA report 147, July 1982. | Zbl 0505.76068

[2] R. Glowinski and M. F. Wheeler, Domam Decomposition and Mixed Finite Element Methods for Elliptic Problems, Proc. of the First International Symposium on Domain Decomposition Methods for Partial Differential Equations Paris, January 1987, SIAM 1988. | MR 972516 | Zbl 0661.65105

[3] T. F. Chan, Analysis of preconditioners for domain decomposition, SIAM J. Numer. Anal., 24/2, 1987. | MR 881372 | Zbl 0625.65100

[4] T. F. Chan and D. C. Resasco, A Framework for Analysis and Construction fo Domain Decomposition Preconditioners, Proc. of the First International Symposium on Domain Decomposition Methods for Partial Differential Equations Paris, January 1987, SIAM 1988. | Zbl 0658.65092

[5] L. Sonke, P. Le Quére and Ta Phuoc Loc, Domain decomposition and multigradient methods for the Navier-Stokes equations, Proc. 6th. International Conference on Numerical Methods in Laminar and Turbulent Flow, Swansea, U.K. July 1989. | Zbl 0728.76075

[6] K. Miller, Numerical analogs to the Schwarz alternating procedure, Numer. Math. 1965. | MR 177520 | Zbl 0154.41201

[7] L. Sonké, Solution algorithmique de certaines équations aux dérivées partielles non symétriques : application aux équations de Navier-Stokes, in preparation.

[8] R. Dautray and J. L. Lions, Analyse mathématique et calcul numérique pour les sciences et les techniques, Masson, Paris 1985. | Zbl 0642.35001

[9] R. Temam, Navier-Stokes equations, North Holland, 1977. | MR 769654 | Zbl 0383.35057

[10] L. Schwartz, Théorie des distributions, Hermann, Paris, 1957. | MR 209834 | Zbl 0078.11003

[11] P. S. Vassilevski, Poincaré-Steklov operators for elliptic difference problems, C. R, Acad. Bulgare Sci., 38, no. 5, 543-546, 1985. | MR 799809 | Zbl 0592.65065

[12] R. Glowinski, Numerical Methods for nonlinear variational problems, Springer, 1984. | MR 737005 | Zbl 0536.65054

[13] C. G. Speziale, On the Advantages of the Vorticity-Velocity Formulation of the Equations of Fluid Dynamics, J. Comp. Phys. 73, 476-480, 1987. | Zbl 0632.76049

[14] H. F. Fasel, Numerical solution of the complete Navier-Stokes equations for the simulation of unsteady flows. Approximation Methods For Navier-Stokes Problem, Proc. Paderborn, Germany, 177-191, Springer-Verlag, 1979. | MR 565996 | Zbl 0463.76040

[15] L. Sonké, P. Le Quéré and Ta Phuoc Loc, Domain decomposition and Velocity-vorticity formulation for fluids flows in multiply-connected regions, in preparation.

[16] J. M. Vanel, R. Peyret and P. Bontoux, A pseudo-spectral solution of vorticity-stream function equation using the influence matrix technique, Numer. Meth. Fluid Dynamics II, 463-472, Clarendon Press, Oxford, 1986. | Zbl 0606.76030

[17] R. Peyret and T. D. Taylor, Computational methods for fluid flow, Springer-Verlag, 1985. | MR 770204 | Zbl 0717.76003

[18] P. A. Raviart and J. M. Thomas, Introduction à l'analyse numérique des équations aux dérivées partielles. Masson, Paris, 1984. | Zbl 0561.65069