On a mixed finite element method for the Stokes problem in ℝ 3
Pitkäranta, Juhani
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 16 (1982), p. 275-291 / Harvested from Numdam
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@article{M2AN_1982__16_3_275_0,
     author = {Pitk\"aranta, Juhani},
     title = {On a mixed finite element method for the Stokes problem in $\mathbb {R}^3$},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {16},
     year = {1982},
     pages = {275-291},
     mrnumber = {672419},
     zbl = {0488.76039},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1982__16_3_275_0}
}

Pitkäranta, Juhani. On a mixed finite element method for the Stokes problem in $\mathbb {R}^3$. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 16 (1982) pp. 275-291. http://gdmltest.u-ga.fr/item/M2AN_1982__16_3_275_0/

[1] I Babuska, Error bounds for finite element methods, Numer Math 16, 1971, pp 322-333. | MR 288971 | Zbl 0214.42001

[2] F Brezzi, On the existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers, RAIRO 8-R2, 1974, pp 129-151. | Numdam | MR 365287 | Zbl 0338.90047

[3] P Ciarlet, The Finite Element Method for Elliptic Problems, North Holland, 1978. | MR 520174 | Zbl 0383.65058

[4] B Daly, F Harlow, J Sahnnon and J Welch, The MAC method, Technical report LA-3425, Los Alamos Scientific Laboratory, 1965.

[5] V Girautl and P-A Raviart, Finite Element Approximation of the Navter-Stokes Equations, Lecture Notes in Mathematics, Springer, Berlin, 1979. | MR 540128 | Zbl 0413.65081

[6] P Grisvard, Behavior of the solutions of an elliptic boundary value problem in a polygonal or polyhedral domain, in Numerical Solution of Partial Differential Equations III, ed B Hubbard, Academic Press, New York, 1976. | MR 466912 | Zbl 0361.35022

[7] C Johnson and J Pitkaranta, Analysis of some mixed finite element methods related to reduced integration, Preprint, Chalmers University of Technology, 1980. | MR 645657 | Zbl 0482.65058

[8] D Ted To Red and T Hugues, Mixed finite element methods reduced and selective integration techniques a unification of concepts, Comp Meth Appl Mech Engng 15, 1978, pp 63-81. | Zbl 0381.73075

[9] H Melzer and R Rannacher, Spannungskonzentrationen in der Eckpunkten der vertikalen belasteten Kirchoffschen Platte, Preprint, 1979, Universitat Bonn.

[10] R Sani, P Gresho, R Lee and Griffiths, The cause and cure (?) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-stokes equations, Preprint, 1980, Lawrence Livermore Laboratory. | Zbl 0461.76021