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All issues Volume 31 / No 4 (1997) ESAIM: M2AN, 31 4 (1997) 517-557 References
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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] [Google Scholar]
  2. [2]J. BERGH and J. LÖFSTROM, 1976, Interpolation spaces, an introduction, Springer Verlag. [MR: 482275] [Zbl: 0344.46071] [Google Scholar]
  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] [Google Scholar]
  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] [Google Scholar]
  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] [Google Scholar]
  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] [Google Scholar]
  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] [Google Scholar]
  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] [Google Scholar]
  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] [Google Scholar]
  10. L. C. COWSAR, 1993, Dual variable Schwarz methods for mixed finite elements, Report TR93-09, Riee University, Houston. [Google Scholar]
  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] [Google Scholar]
  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] [Google Scholar]
  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] [Google Scholar]
  14. W. HACKBUSCH, 1994, Iterative solution of large sparse Systems of equations, Springer Verlag. [MR: 1247457] [Zbl: 0789.65017] [Google Scholar]
  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] [Google Scholar]
  16. A. KLAWONN, 1994, An optimal preconditioner for a class of saddle point problems with a penalty term, Preprint. [MR: 1618832] [Zbl: 0912.65018] [Google Scholar]
  17. P. PEISKER, 1991, A multigrid method for Reissner-Mindlin plates, Numer. Math., 59, pp. 511-528. [EuDML: 133562] [MR: 1121656] [Zbl: 0736.73071] [Google Scholar]
  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] [Google Scholar]
  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] [Google Scholar]
  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] [Google Scholar]
  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] [Google Scholar]
  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] [Google Scholar]
  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] [Google Scholar]
  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] [Google Scholar]
  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] [Google Scholar]

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