@article{M2AN_1996__30_4_401_0,
author = {Zhou, Aihui},
title = {Global superconvergence approximations of the mixed finite element method for the {Stokes} problem and the linear elasticity equation},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {401--411},
year = {1996},
publisher = {AFCET - Gauthier-Villars},
address = {Paris},
volume = {30},
number = {4},
mrnumber = {1399497},
zbl = {0858.73076},
language = {en},
url = {https://www.numdam.org/item/M2AN_1996__30_4_401_0/}
}
TY - JOUR AU - Zhou, Aihui TI - Global superconvergence approximations of the mixed finite element method for the Stokes problem and the linear elasticity equation JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1996 SP - 401 EP - 411 VL - 30 IS - 4 PB - AFCET - Gauthier-Villars PP - Paris UR - https://www.numdam.org/item/M2AN_1996__30_4_401_0/ LA - en ID - M2AN_1996__30_4_401_0 ER -
%0 Journal Article %A Zhou, Aihui %T Global superconvergence approximations of the mixed finite element method for the Stokes problem and the linear elasticity equation %J ESAIM: Modélisation mathématique et analyse numérique %D 1996 %P 401-411 %V 30 %N 4 %I AFCET - Gauthier-Villars %C Paris %U https://www.numdam.org/item/M2AN_1996__30_4_401_0/ %G en %F M2AN_1996__30_4_401_0
Zhou, Aihui. Global superconvergence approximations of the mixed finite element method for the Stokes problem and the linear elasticity equation. ESAIM: Modélisation mathématique et analyse numérique, Tome 30 (1996) no. 4, pp. 401-411. https://www.numdam.org/item/M2AN_1996__30_4_401_0/
[1] , 1973, The finite element method with Lagrangian multiplies, Numer. Math., 20, pp. 179-192. | Zbl | MR
[2] and , 1992, A formulation of Stokes's problem and the linear elasticity equations suggested by the Oldroyd model for viscoelastic flow, M2AN, 26, pp. 331-345. | Zbl | MR | Numdam
[3] , 1974, On the existence, uniquence and approximation of saddle-point problems arising from Lagrange multipliers, RAIRO Anal. Numer., R-2, pp. 129-151. | Zbl | MR | Numdam
[4] , 1986, A survey of mixed finite element methods, in : Finite Elements-Theory and Application (ed. Dwoyer et al.), Springer-Verlag, pp. 34-49. | Zbl | MR
[5] and , 1991, Mixed and Hybrid Finite Element Methods, Springer-Verlag. | Zbl | MR
[6] and , 1984, On the stabilization of finite element approximations of the Stokes equations, in : Efficient Solutions of Elliptic Systems, Notes on Numer. Fluid Mech., 10 (ed. Hackbush), Vieweg, Wiesbaden, pp. 11-19. | Zbl | MR
[7] , 1976, The Finite Element Methods for Elliptic Problems, North-Holland. | Zbl | MR
[8] and , 1991, Handbook of Numerical Analysis, Vol. II, Finite Element Methods (Part I), North-Holland, Amsterdam. | Zbl | MR
[9] and , 1989, On the convergence of the mixed method of Crochet and Marchal for viscoelastic flows, Comp. Meth. Appl. Mech. Engrg., 73, pp. 341-350. | Zbl | MR
[10] , 1989, Analysis and finite element approximation of compressible and incompressible linear isotropic elasticity based upon a variational principle, Comp. Meth. Appl. Mech. Engrg., 76, pp. 259-273. | Zbl | MR
[11] and , 1988, Two classes of mixed finite element methods, Comp. Meth. Appl. Mech. Engrg., 69, pp. 89-129. | Zbl | MR
[12] and , 1991, Error analysis of some Galerkin-least-sequares methods for the elasticity equations, SIAM J. Num. Anal., 78, pp. 1680-1697. | Zbl | MR
[13] and , 1986, Finite Element Methods for Navier-Stokes Equations, Theory and Algorithms, Springer-Verlag. | Zbl | MR
[14] and , 1979, On a mixed finite element approximation of the Stokes problem I, Convergence of the approximate solution, Numer. Math., 33, pp. 397-424. | Zbl | MR
[15] , 1986, Mathematical aspects of finite element methods for incompressible viscous flows, in : Finite Elements-Theory and Application (ed. Dwoyer et al.), Springer-Verlag, pp. 124-150. | Zbl | MR
[16] , 1989, Finite Element Methods for Incompressible Viscous Flows : A Guide to Theory, Pratice and Algorithms, Academic, Boston. | MR
[17] and , 1992, Notes on « On mixed mesh finite elements for solving the stationary Stokes problem », Numer. Anal. J. Chinese Univ., 14, 3, pp. 287-289 (Chinese). | MR
[18] , and , 1991, A rectangle test for the Stokes equations, in : Proc. of Sys. Sci. & Sys. Eng., Great Wall (Hongkong), Culture Publish Co., pp. 240-241.
[19] , and , 1991, A rectangle test for interpolated finite elements, ibid., pp. 217-229.
[20] and , 1994, The Proeprocessing and Postprocessing for the Finite Element Method, Shangai Scientific & Technical Publishers (Chinese).
[21] , 1984, Analysis of mixed finite element method for the Stokes problem : a unified approach, Math. Comp., 42, pp. 9-23. | Zbl | MR
[22] , 1991, Postprocess schemes for some mixed finite elements, RAIRO Model. Math. Anal. Numer., 25, pp. 152-168. | Zbl | MR | Numdam
[23] , 1979, Navier-Stokes Equations, North-Holland, Amsterdam. | Zbl
[24] , 1984, Error estimates for a mixed finite element approximation of the stockes equations, RAIRO Numer. Anal., 18, pp. 175-182. | Zbl | MR | Numdam
[25] and , 1994, The full approximation accuracy for the stream function-vorticity-pressure method, Numer. Math., 68, pp. 427-435. | Zbl | MR
[26] , and , 1992, On the full approximation accuracy in finite element methods, in : Proc. Symposium on Applied Math. for Young Chinese Scholars (ed. F. Wu), Inst. of Applied Math., Academia Sinica, Beijing, July, pp. 544-553.
