Free Access
Issue
ESAIM: M2AN
Volume 24, Number 6, 1990
Page(s) 737 - 764
DOI https://doi.org/10.1051/m2an/1990240607371
Published online 31 January 2017
  1. D. N. ARNOLD, L. R. SCOTT and M. VOGELIUS, Regular inversion of the divergence operator with Dirichlet boundary conditions on a polygon. Annali Scuola Norm. Sup. Pisa, Serie 4, 15 (1988), pp. 169-192. [EuDML: 84028] [MR: 1007396] [Zbl: 0702.35208]
  2. I. BABUŠKA, Error-bounds for the finite element method. Numerische Mathematik, 16 (1971), pp. 322-333. [EuDML: 132037] [MR: 288971] [Zbl: 0214.42001]
  3. I. BABUŠKA, B. A. SZABO and I. N. KATZ, The p-version of the finite element method. SIAM J. Numer. Anal., 18 (1981), pp. 515-545. [MR: 615529] [Zbl: 0487.65059]
  4. M. BERCOVIER and O. PIRONNEAU, Error estimates for the finite element method solution of the Stokes problem in the primitive variables. Numerische Mathematik, 33 (1979), pp. 211-224. [EuDML: 132638] [MR: 549450] [Zbl: 0423.65058]
  5. J. BOLAND and R. A. NICOLAIDES, On the stability of Bilinear-Constant Velocity-Pressure Finite Elements. Numerische Mathematik, 44 (1984), pp. 219-222. [EuDML: 132930] [MR: 753954] [Zbl: 0544.76030]
  6. J. BOLAND and R. A. NICOLAIDES, Stable and semistable low order finite elements for viscous flows. SIAM J. Numer. Anal., 22 (1985), pp. 474-492. [MR: 787571] [Zbl: 0578.65123]
  7. F. BREZZI, On the existence, uniqueness and approximation of saddlepoint problems arising from Lagrangian multipliers, RAIRO 8 (1974), pp. 129-151. [EuDML: 193255] [MR: 365287] [Zbl: 0338.90047]
  8. C. CANUTO, Y. MADAY and A. QUARTERONI, Combined Finite Element and Spectral approximation of the Navier-Stokes equations. Numerische Mathematik, 44 (1984), pp. 201-217. [EuDML: 132929] [MR: 753953] [Zbl: 0614.76021]
  9. V. GIRAULT and P.-A. RAVIART, Finite Element Methods for Navier-Stokes Equations. Theory and Algorithms. Springer-Verlag, 1986. [MR: 851383] [Zbl: 0585.65077]
  10. D. GOTTLIEB and S. ORSZAG, Numerical Analysis of Spectral Methods : Theory and Applications. CBMS-NSF Regional Conference Series in Applied Mathematics, 26. SIAM, 1977. [MR: 520152] [Zbl: 0412.65058]
  11. P. GRISVARD, Elliptic Problems in Nonsmooth Domains. Pitman, 1985. [MR: 775683] [Zbl: 0695.35060]
  12. C. JOHNSON and J. PITKÄRANTA, Analysis of some mixed finite element methods related to reduced integration. Math, of Comp., 38 (1982), pp. 375-400. [MR: 645657] [Zbl: 0482.65058]
  13. R. B. KELLOGG and J. E. OSBORN, A regularity result for the Stokes problem in a convex polygon. J. Functional Analysis, 21 (1976), pp. 397-431. [MR: 404849] [Zbl: 0317.35037]
  14. N. N. LEBEDEV, Special Functions and Their Applications, Prentice-Hall, 1965. [MR: 174795] [Zbl: 0131.07002]
  15. Y. MADAY, Analysis of spectral projectors in multi-dimensional domains.
  16. E. M. RONQUIST, Optimal spectral element method for the unsteady three-dimensional incompressible Navier-Stokes equations. Ph. D. thesis, M.I.T., 1988.
  17. G. SACCHI LANDRIANI, Spectral tau approximation of the two-dimensional Stokes problem. Numer. Math., 52 (1988), pp. 683-699. [EuDML: 133260] [MR: 946383] [Zbl: 0629.76037]
  18. L. R. SCOTT and M. VOGELIUS, Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials. Math. Modelling Num. Anal., 19 (1985), pp. 111-143. [EuDML: 193439] [MR: 813691] [Zbl: 0608.65013]
  19. L. R. SCOTT and M. VOGELIUS, Conforming Finite Element Methods for incompressible and nearly incompressible continua. Lectures in Applied Mathematics, 22, pp. 221-244, AMS, 1985. [MR: 818790] [Zbl: 0582.76028]
  20. M. SURI, On the stability and convergence of higher order mixed finite element methods for second order elliptic problems. Math. Comput., 54 (1990), pp. 1-19. [MR: 990603] [Zbl: 0687.65101]
  21. B. A. SZABO, I. BABUŠKA and B. K. CHAYAPATHY, Stress computations for nearly incompressible materials. Int. J. Numer. Methods Eng., 28 (1990), pp. 2175-2190. [Zbl: 0718.73083]
  22. R. VERFÜHRT, Error estimates for a mixed finite element approximation of the Stokes equations. RAIRO, Numer. Anal., 18 (1984), pp 175-182. [EuDML: 193431] [MR: 743884] [Zbl: 0557.76037]
  23. M. VOGELIUS, An analysis of the p-Version of the Finite Element Method for nearly incompressible materials. Uniformly valid, optimal error estimates. Numerische Mathematik, 41 (1983), pp. 39-53. [EuDML: 132838] [MR: 696549] [Zbl: 0504.65061]
  24. M. VOGELIUS, A right inverse for the divergence operator in spaces of piecewise polynomials. Application to the p-Version of the Finite Element Method. Numerische Mathematik, 41 (1983), pp. 19-37. [EuDML: 132837] [MR: 696548] [Zbl: 0504.65060]
  25. C. BERNARDI, Y. MADAY and B. METIVET, Spectral approximation of the periodic-nonperiodic Navier-Stokes equations. Numerische Mathematik, 51 (1987), pp. 655-700. [EuDML: 133219] [MR: 914344] [Zbl: 0583.65085]
  26. C. BERNARDI, Y. MADAY and B. METIVET, Calcul de la pression dans la résolution spectrale du problème de Stokes. La Recherche Aérospatiale, 1 (1987), pp. 1-21. [MR: 904608] [Zbl: 0642.76037]
  27. M. SURI, The p-version of the finite element method for elliptic equations of order 2 l. M2AN, 24 (1990), pp. 265-304. [EuDML: 193597] [MR: 1052150] [Zbl: 0711.65094]

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