Free Access
Issue
ESAIM: M2AN
Volume 31, Number 4, 1997
Page(s) 517 - 557
DOI https://doi.org/10.1051/m2an/1997310405171
Published online 31 January 2017
  1. D. N. ARNOLD and R. S. FALK, 1989, A uniformly accurate finite element method for the Reissner-Mindlin plate, SIAM J. Numer. Anal. 26, pp 1276-1290. [MR: 1025088] [Zbl: 0696.73040]
  2. [2]J. BERGH and J. LÖFSTROM, 1976, Interpolation spaces, an introduction, Springer Verlag. [MR: 482275] [Zbl: 0344.46071]
  3. D. BRAESS and C. BLÖMER, 1990, A multigrid method for a parameter dependent problem in solid mechanics, Numer. Math. 57., pp. 747-762. [EuDML: 133479] [MR: 1065522] [Zbl: 0665.65077]
  4. J. H. BRAMBLE and J. E. PASCIAK, 1988, A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems, Math. Comp., 50, pp. 1-17. [MR: 917816] [Zbl: 0643.65017]
  5. J. H. BRAMBLE and J. E. PASCIAK, Iterative techniques for time dependent Stokes problem, to appear in Comput. Math. Appl. [MR: 1442058] [Zbl: 1030.76506]
  6. J. H. BRAMBLE, J. E. PASCIAK and A. T. VASSILEV, Analysis of inexact Uzawa algorithm for saddle point problems, to appear in SIAM J. Numer. Anal. [MR: 1451114] [Zbl: 0873.65031]
  7. J. H. BRAMBLE, J. E. PASCIAK and J. XU, 1991, The analysis of multigrid algorithms with nonnested spaces and noninherited quadratic forms, Math. Comp., 56, pp. 1-34. [MR: 1052086] [Zbl: 0718.65081]
  8. S. C. BRENNER, 1996, Multigrid methods for parameter dependent problems, to appear in Math. Modelling Numer. Anal, 30, pp. 265-297. [EuDML: 193805] [MR: 1391708] [Zbl: 0848.73062]
  9. F. BREZZI, M. FORTIN and R. STENBERG, 1991, Error analysis of mixed-interpolated elements for Reissner-Mindlin plates, Math. Models and Methods in Applied Sciences, 1, pp. 125-151. [MR: 1115287] [Zbl: 0751.73053]
  10. L. C. COWSAR, 1993, Dual variable Schwarz methods for mixed finite elements, Report TR93-09, Riee University, Houston.
  11. L. C. COWSAR, J. MANDEL and M. F. WHEELER, 1995, Balancing domain decomposition for mixed finite elements, Math. Comp., 64, pp. 989-1015. [MR: 1297465] [Zbl: 0828.65135]
  12. R. DURÁN and E. LIBERMAN, 1992 On mixed finite element methods for the Reissner-Mindlin plate model, Math. Comp., 58, pp.561-573. [MR: 1106965] [Zbl: 0763.73054]
  13. H. C. ELMAN and G. GOLUB, 1994, Inexact and preconditioned Uzawa algorithms for saddle point problems, SIAM J. Numer. Anal., 31, pp. 1645-1661. [MR: 1302679] [Zbl: 0815.65041]
  14. W. HACKBUSCH, 1994, Iterative solution of large sparse Systems of equations, Springer Verlag. [MR: 1247457] [Zbl: 0789.65017]
  15. Z. HUANG, 1990, A multi-grid algorithm for mixed problems with penalty, Numer. Math., 57, pp. 227-247. [EuDML: 133446] [MR: 1057122] [Zbl: 0712.73106]
  16. A. KLAWONN, 1994, An optimal preconditioner for a class of saddle point problems with a penalty term, Preprint. [MR: 1618832] [Zbl: 0912.65018]
  17. P. PEISKER, 1991, A multigrid method for Reissner-Mindlin plates, Numer. Math., 59, pp. 511-528. [EuDML: 133562] [MR: 1121656] [Zbl: 0736.73071]
  18. T. RUSTEN P. S. VASSILEVSKI and R. WÏNTHER, 1996, Interior penalty preconditioners for mixed finite element approximations of elliptic problems, Math. Comp., 65, pp.447-466. [MR: 1333325] [Zbl: 0857.65117]
  19. T. RUSTEN and R. WÏNTHER, 1992, A preconditioned iterative method for saddle point problems, SIAM J. Matrix Anal. Appl., 13, pp. 887-904. [MR: 1168084] [Zbl: 0760.65033]
  20. T. RUSTEN and R. WINTHER, 1993, Substructure preconditioners for elliptic saddle point problems, Math. Comp., 60, pp. 23-48. [MR: 1149293] [Zbl: 0795.65072]
  21. [21]D. SILVESTER and A. WATHEN, 1994, Fast iterative solution of stabilised Stokes Systems, Part II : Using general block preconditioners, SIAM J. Numer. Anal., 31, pp. 1352-1367. [MR: 1293519] [Zbl: 0810.76044]
  22. P. S. VASSILEVSKI and J. WANG, 1995, An application of the abstract multilevel theory to nonconforming finite element methods, SIAM J. Numer. Anal., 32, pp. 235-248. [MR: 1313711] [Zbl: 0828.65125]
  23. A. WATHEN, 1987, Realistic eigenvalue bounds for the Galerkin mass matrix, IMA J. Numer. Anal., 7, pp. 449-457. [MR: 968517] [Zbl: 0648.65076]
  24. A. WATHEN and D. SILVESTER, 1993, Fast iterative solution of stabilised Stokes Systems, Part I : Using simple diagonal preconditioners, SIAM J. Numer. Anal., 30, pp. 630-649. [MR: 1220644] [Zbl: 0776.76024]
  25. J. XU, 1996, The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids, to appear in Computing, 56, pp. 215-235. [MR: 1393008] [Zbl: 0857.65129]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you