Finite element solution of Navier-Stokes equations in shallow domains

O. Besson

Annales mathématiques Blaise Pascal (2002)

  • Volume: 9, Issue: 2, page 161-180
  • ISSN: 1259-1734

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Besson, O.. "Finite element solution of Navier-Stokes equations in shallow domains." Annales mathématiques Blaise Pascal 9.2 (2002): 161-180. <http://eudml.org/doc/79248>.

@article{Besson2002,
author = {Besson, O.},
journal = {Annales mathématiques Blaise Pascal},
language = {eng},
number = {2},
pages = {161-180},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Finite element solution of Navier-Stokes equations in shallow domains},
url = {http://eudml.org/doc/79248},
volume = {9},
year = {2002},
}

TY - JOUR
AU - Besson, O.
TI - Finite element solution of Navier-Stokes equations in shallow domains
JO - Annales mathématiques Blaise Pascal
PY - 2002
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 9
IS - 2
SP - 161
EP - 180
LA - eng
UR - http://eudml.org/doc/79248
ER -

References

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  1. [1] P. Azérad. Analyse et approximation du problème de stokes dans un bassin peu profond. C.R. Acad. Sci. Paris, 318:53-58, 1994. Zbl0795.76014MR1260535
  2. [2] P. Azérad. Equations de Navier-Stokes en bassin peu profond. PhD thesis, Université de Neuchâtel, 1995. 
  3. [3] P. Azérad and F. Guillén-González. Mathematical justification of the hydrostatic approximation in the primitive equations of geophysical fluid dynamics. SIAM J. Math. Anal., 33:847-859, 2001. Zbl0999.35072MR1884725
  4. [4] O. Besson. Band preconditioners: application to preconditioned conjugate gradient methods on parallel computers. In J. Dongarra and E. J. Kontoghiorghes, Parallel Numerical Linear Algebra, pages 111-123. Nova Science Publisher, 2001. 
  5. [5] O. Besson and M.R. Laydi. Some estimates for the anisotropic navier-stokes equations and for the hydrostatic approximation. M2AN - Mod. Math. Ana. Num., 26:855-865, 1992. Zbl0765.76017MR1199316
  6. [6] O. Besson, M.R. Laydi, and R. Touzani. Un modèle asymptotique en océanographie. C.R. Acad. Sci. Paris, 310:661-665, 1990. Zbl0693.76030MR1052987
  7. [7] W. Graf. Hydrodynamics of lake geneva. Schweiz. Z. Hydrol., 45:62-100, 1983. 
  8. [8] J. Guermond. Some practical implementations of the projection methods for navier-stokes equations. M2AN - Mod. Math. Ana. Num., 30:637-667, 1996. Zbl0861.76065MR1411394
  9. [9] K. Hutter. Mathematische vorhersage von barotropen und baroklinen prozessen im zürich und luganersee. Vierteljahrschrift der Naturforschenden Gesellschaft in Zürich, 129:51-92, 1984. 
  10. [10] J. Pedlosky. Geophysical fluid dynamics. Springer-Verlag, 1987. Zbl0713.76005
  11. [11] R. Temam. Navier-Stokes equations. North-Holland Elsevier, 1985. Zbl0383.35057MR603444
  12. [12] R. Zeytounian. Modélisation asymptotique en mécanique des fluides newtoniens. Springer-Verlag, 1994. Zbl0797.76001MR1618773

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