@article{M2AN_2000__34_5_953_0, author = {Bernardi, Christine and Hecht, Fr\'ed\'eric}, title = {More pressure in the finite element discretization of the {Stokes} problem}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {953--980}, publisher = {Dunod}, address = {Paris}, volume = {34}, number = {5}, year = {2000}, mrnumber = {1837763}, zbl = {0992.76051}, language = {en}, url = {http://www.numdam.org/item/M2AN_2000__34_5_953_0/} }
TY - JOUR AU - Bernardi, Christine AU - Hecht, Frédéric TI - More pressure in the finite element discretization of the Stokes problem JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2000 SP - 953 EP - 980 VL - 34 IS - 5 PB - Dunod PP - Paris UR - http://www.numdam.org/item/M2AN_2000__34_5_953_0/ LA - en ID - M2AN_2000__34_5_953_0 ER -
%0 Journal Article %A Bernardi, Christine %A Hecht, Frédéric %T More pressure in the finite element discretization of the Stokes problem %J ESAIM: Modélisation mathématique et analyse numérique %D 2000 %P 953-980 %V 34 %N 5 %I Dunod %C Paris %U http://www.numdam.org/item/M2AN_2000__34_5_953_0/ %G en %F M2AN_2000__34_5_953_0
Bernardi, Christine; Hecht, Frédéric. More pressure in the finite element discretization of the Stokes problem. ESAIM: Modélisation mathématique et analyse numérique, Tome 34 (2000) no. 5, pp. 953-980. http://www.numdam.org/item/M2AN_2000__34_5_953_0/
[1] Studies in Nonlinear Programming. Stanford University Press, Stanford (1958). | MR | Zbl
, and ,[2] The finite element method with Lagrangian multipliers. Numer. Math. 20 (1973) 179-192. | MR | Zbl
,[3] Théorie des graphes. Dunod, Paris (1970). | Zbl
,[4] Stability of finite elements under divergence constraints. SIAM J. Numer. Anal. 20(1983) 722-731. | MR | Zbl
and ,[5] On the existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers. RAIRO - Anal. Numér. 8 R2 (1974) 129-151. | Numdam | MR | Zbl
,[6] Basic Error Estimates for Elliptic Problems, in the Handbook of Numerical Analysis, Vol. II, P.G. Ciarlet and J.-L. Lions Eds., North-Holland, Amsterdam (1991) 17-351. | MR | Zbl
,[7] Développement et applications de méthodes numériques volumes finis pour la description d'écoulements océaniques. Thesis, Université Joseph Fourier, Grenoble (1996).
,[8] Conforming and nonconforming finite element methods for solving the stationary Stokes equations. RAIRO - Anal. Numér. 7 R3 (1973) 33-76. | Numdam | MR | Zbl
and ,[9] Méthodes de volumes éléments finis : application aux équations de Navier-Stokes et résultats de convergence. Thesis, Université Claude Bernard, Lyon (1992).
,[10] An analysis of the convergence of mixed finite element methods. RAIRO - Anal. Numér. 11 R3 (1977) 341-354. | Numdam | MR | Zbl
,[11] Finite Element Methods for the Navier-Stokes Equations, Theory and Algorithms. Springer-Verlag, Berlin (1986). | MR | Zbl
and ,[12] Construction d'une base d'un élément fini P1 non conforme à divergence nulle dans ℝ3. Thesis, Université Pierre et Marie Curie, Paris (1980).
,[13] Construction d'une base de fonctions P1 non conforme à divergence nulle dans ℝ3. RAIRO - Anal. Numér. 15 (1981) 119-150. | Numdam | MR | Zbl
,[14] Error estimates for a mixed finite element approximation of the Stokes equations. RAIRO - Anal. Numér. 18 (1984) 175-182. | Numdam | MR | Zbl
,