Analysis of domain decomposition for non symmetric problems : application to the Navier-Stokes equations

L. Sonke

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1992)

  • Volume: 26, Issue: 2, page 289-307
  • ISSN: 0764-583X

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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 26.2 (1992): 289-307. <http://eudml.org/doc/193664>.

@article{Sonke1992,
author = {Sonke, L.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Dirichlet problem; domain decomposition; existence and uniqueness; Steklov-Poincaré operator; symmetrization technique; conjugate gradient},
language = {eng},
number = {2},
pages = {289-307},
publisher = {Dunod},
title = {Analysis of domain decomposition for non symmetric problems : application to the Navier-Stokes equations},
url = {http://eudml.org/doc/193664},
volume = {26},
year = {1992},
}

TY - JOUR
AU - Sonke, L.
TI - Analysis of domain decomposition for non symmetric problems : application to the Navier-Stokes equations
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1992
PB - Dunod
VL - 26
IS - 2
SP - 289
EP - 307
LA - eng
KW - Dirichlet problem; domain decomposition; existence and uniqueness; Steklov-Poincaré operator; symmetrization technique; conjugate gradient
UR - http://eudml.org/doc/193664
ER -

References

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  2. [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. Zbl0661.65105MR972516
  3. [3] T. F. CHAN, Analysis of preconditioners for domain decomposition, SIAM J. Numer. Anal., 24/2, 1987. Zbl0625.65100MR881372
  4. [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. Zbl0658.65092
  5. [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. Zbl0728.76075
  6. [6] K. MILLER, Numerical analogs to the Schwarz alternating procedure, Numer. Math. 1965. Zbl0154.41201MR177520
  7. [7] L. SONKÉ, Solution algorithmique de certaines équations aux dérivées partielles non symétriques : application aux équations de Navier-Stokes, in preparation. 
  8. [8] R. DAUTRAY and J. L. LIONS, Analyse mathématique et calcul numérique pour les sciences et les techniques, Masson, Paris 1985. Zbl0642.35001
  9. [9] R. TEMAM, Navier-Stokes equations, North Holland, 1977. Zbl0383.35057MR769654
  10. [10] L. SCHWARTZ, Théorie des distributions, Hermann, Paris, 1957. Zbl0078.11003MR209834
  11. [11] P. S. VASSILEVSKI, Poincaré-Steklov operators for elliptic difference problems, C. R, Acad. Bulgare Sci., 38, no. 5, 543-546, 1985. Zbl0592.65065MR799809
  12. [12] R. GLOWINSKI, Numerical Methods for nonlinear variational problems, Springer, 1984. Zbl0536.65054MR737005
  13. [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. Zbl0632.76049
  14. [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. Zbl0463.76040MR565996
  15. [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. Zbl0728.76075
  16. [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. Zbl0606.76030
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  18. [18] P. A. RAVIART and J. M. THOMAS, Introduction à l'analyse numérique des équations aux dérivées partielles. Masson, Paris, 1984. Zbl0561.65069

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