@article{M2AN_1995__29_3_367_0, author = {Arnold, Douglas N. and Xiaobo, Liu}, title = {Local error estimates for finite element discretization of the {Stokes} equations}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {367--389}, publisher = {AFCET - Gauthier-Villars}, address = {Paris}, volume = {29}, number = {3}, year = {1995}, mrnumber = {1342712}, zbl = {0832.65117}, language = {en}, url = {http://www.numdam.org/item/M2AN_1995__29_3_367_0/} }
TY - JOUR AU - Arnold, Douglas N. AU - Xiaobo, Liu TI - Local error estimates for finite element discretization of the Stokes equations JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1995 SP - 367 EP - 389 VL - 29 IS - 3 PB - AFCET - Gauthier-Villars PP - Paris UR - http://www.numdam.org/item/M2AN_1995__29_3_367_0/ LA - en ID - M2AN_1995__29_3_367_0 ER -
%0 Journal Article %A Arnold, Douglas N. %A Xiaobo, Liu %T Local error estimates for finite element discretization of the Stokes equations %J ESAIM: Modélisation mathématique et analyse numérique %D 1995 %P 367-389 %V 29 %N 3 %I AFCET - Gauthier-Villars %C Paris %U http://www.numdam.org/item/M2AN_1995__29_3_367_0/ %G en %F M2AN_1995__29_3_367_0
Arnold, Douglas N.; Xiaobo, Liu. Local error estimates for finite element discretization of the Stokes equations. ESAIM: Modélisation mathématique et analyse numérique, Tome 29 (1995) no. 3, pp. 367-389. http://www.numdam.org/item/M2AN_1995__29_3_367_0/
[1] A stable finite element for the Stokes equations, Calcolo, 21, 1984, pp. 337-344. | MR | Zbl
, and ,[2] A uniformly accurate finite element method for the Mindlin-Reissner plate, SIAM J. Numer. Anal, 26, 1989, pp. 1276-1290. | MR | Zbl
and ,[3] Conforming and non-conforming finite element methods for solving the stationary Stokes equations, RAIRO Anal Numér., 7 R-3, 1973, pp. 33-76. | Numdam | MR | Zbl
and ,[4] Stationary Stokes and Navier-Stokes Systems on two- or three-dimentional domains with corners. Part I : Linearized equations, SIAM J. Math. Anal., 20, 1989, pp. 74-97. | MR | Zbl
,[5] Interior and superconvergence estimates for mixed methods for second order elliptic problems, RAIRO Modél. Math. Anal. Numér., 19, 1985, pp. 397-428. | Numdam | MR | Zbl
and ,[6] Calcul numérique des écoulements des fluides de Bingham et des fluides Newtoniens incompressible par des méthodes d'éléments finis, Université de Paris VI, Doctoral thesis, 1972.
,[7] Uniform interior error estimates for the Reissner-Mindlin plate model, Math. Comp., 61, 1993, pp. 539-567. | MR | Zbl
,[8] A numerical solution of the Navier-Stokes equations using the finite element technique, Compuh & Fluids, 1, 1973, pp. 73-100. | MR | Zbl
and ,[9] Finite element subspaces with optimal rates of convergence for stationary Stokes problem, RAIRO Anal. Numér., 16, 1982, pp. 49-66. | Numdam | MR | Zbl
,[10] Interior estimate for Ritz-Galerkin methods, Math. Comp., 28, 1974, pp. 937-958. | MR | Zbl
and ,[11] Navier-Stokes Equations, North-Holland, Amsterdam, 1984. | MR | Zbl
,[12] Local Behavior in Finite Element Methods, in Handbook of Numerical Analysis, P. G, Ciarlet and J. L. Lions, eds., Elsevier, Amsterdam-New York, 1991. | MR | Zbl
,