no. 2
Finite element solution of Navier-Stokes equations in shallow domains
Annales mathématiques Blaise Pascal, Tome 9 (2002) no. 2, pp. 161-180 
@article{AMBP_2002__9_2_161_0,
     author = {O. Besson},
     title = {Finite element solution of {Navier-Stokes} equations in shallow domains},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {161--180},
     publisher = {Laboratoires de Math\'ematiques Pures et Appliqu\'ees de l'Universit\'e Blaise Pascal},
     volume = {9},
     number = {2},
     year = {2002},
     zbl = {02081309},
     mrnumber = {1969077},
     language = {en},
     url = {https://ambp.centre-mersenne.org/item/AMBP_2002__9_2_161_0/}
}
TY  - JOUR
AU  - O. Besson
TI  - Finite element solution of Navier-Stokes equations in shallow domains
JO  - Annales mathématiques Blaise Pascal
PY  - 2002
SP  - 161
EP  - 180
VL  - 9
IS  - 2
PB  - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
UR  - https://ambp.centre-mersenne.org/item/AMBP_2002__9_2_161_0/
LA  - en
ID  - AMBP_2002__9_2_161_0
ER  - 
%0 Journal Article
%A O. Besson
%T Finite element solution of Navier-Stokes equations in shallow domains
%J Annales mathématiques Blaise Pascal
%D 2002
%P 161-180
%V 9
%N 2
%I Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
%U https://ambp.centre-mersenne.org/item/AMBP_2002__9_2_161_0/
%G en
%F AMBP_2002__9_2_161_0
O. Besson. Finite element solution of Navier-Stokes equations in shallow domains. Annales mathématiques Blaise Pascal, Tome 9 (2002) no. 2, pp. 161-180. https://ambp.centre-mersenne.org/item/AMBP_2002__9_2_161_0/

[1] P. Azérad. Analyse et approximation du problème de stokes dans un bassin peu profond. C.R. Acad. Sci. Paris, 318:53-58, 1994. | Zbl | MR

[2] P. Azérad. Equations de Navier-Stokes en bassin peu profond. PhD thesis, Université de Neuchâtel, 1995.

[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. | Zbl | MR

[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] 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. | Zbl | MR | Numdam

[6] O. Besson, M.R. Laydi, and R. Touzani. Un modèle asymptotique en océanographie. C.R. Acad. Sci. Paris, 310:661-665, 1990. | Zbl | MR

[7] W. Graf. Hydrodynamics of lake geneva. Schweiz. Z. Hydrol., 45:62-100, 1983.

[8] J. Guermond. Some practical implementations of the projection methods for navier-stokes equations. M2AN - Mod. Math. Ana. Num., 30:637-667, 1996. | Zbl | MR | Numdam

[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] J. Pedlosky. Geophysical fluid dynamics. Springer-Verlag, 1987. | Zbl

[11] R. Temam. Navier-Stokes equations. North-Holland Elsevier, 1985. | Zbl | MR

[12] R. Zeytounian. Modélisation asymptotique en mécanique des fluides newtoniens. Springer-Verlag, 1994. | Zbl | MR