Free Access
Issue |
ESAIM: M2AN
Volume 23, Number 1, 1989
|
|
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Page(s) | 103 - 128 | |
DOI | https://doi.org/10.1051/m2an/1989230101031 | |
Published online | 31 January 2017 |
- S. AGMON, A. DOUGLIS, L. NIRENBERG, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, Comm. Pure Appl. Math., 12 (1959), pp. 623-727. [MR: 125307] [Zbl: 0093.10401] [Google Scholar]
- D. N. ARNOLD, F. BREZZI, Mixed and nonconforming finite element methods : implementation, post-processing and error estimates, R.A.I.R.O. Model. Math Anal. Numér, 19, 1 (1985), pp. 7-35. [EuDML: 193443] [MR: 813687] [Zbl: 0567.65078] [Google Scholar]
- F. BREZZI, On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers, R.A.I.R.O. Anal. Numér., 2 (1974), pp. 129-151. [EuDML: 193255] [MR: 365287] [Zbl: 0338.90047] [Google Scholar]
- F. BREZZI, J. Jr. DOUGLAS, R. DURÁN, M. FORTIN, Mixed finite elements for second order elliptic problems in three variables, Numer. Math., 51 (1987) pp. 237-250. [EuDML: 133194] [MR: 890035] [Zbl: 0631.65107] [Google Scholar]
- F. BREZZI, J. Jr. DOUGLAS, M. FORTIN, L. D. MARINI, Efficient rectangular mixed finite elements in two and three space variables, R.A.I.R.O. Model. Math. Anal. Numér., 21, 4 (1987), pp. 581-604. [EuDML: 193515] [MR: 921828] [Zbl: 0689.65065] [Google Scholar]
- F. BREZZI, J. Jr. DOUGLAS, L. D. MARINI, Two families of mixed finite elements for second order elliptic problems, Numer. Math., 47 (1985), pp. 217-235. [EuDML: 133032] [MR: 799685] [Zbl: 0599.65072] [Google Scholar]
- F. BREZZI, J. Jr. DOUGLAS, L. D. MARINI, Variable degree mixed methods for second order elliptic problems, Mat. Apl. Comput., 4 (1985), pp. 19-34. [MR: 808322] [Zbl: 0592.65073] [Google Scholar]
- P. G. CIARLET, The finite element method for elliptic problems, North Holland, Amsterdam, 1978. [MR: 520174] [Zbl: 0383.65058] [Google Scholar]
- J. Jr. DOUGLAS, J. E. ROBERTS, Global estimates for mixed methods for second order elliptic equations, Math. Comp., 44, 169 (1985), pp. 39-52. [MR: 771029] [Zbl: 0624.65109] [Google Scholar]
- R. G. DURÁN, Error analysis in Lp, 1 ≤ p ≤ ∞ for mixed finite element methods for linear and quasi-linear elliptic problems, R.A.I.R.O, Model. Math Anal. Numér., 22, 3 (1988), pp. 371-387. [EuDML: 193534] [Zbl: 0698.65060] [Google Scholar]
- L. GASTALDI, R. H. NOCHETTO, Optimal L∞-error estimates for nonconforming and mixed finite element methods of the lowest order, Numer. Math., 50, 3 (1987), pp. 587-611. [EuDML: 133174] [MR: 880337] [Zbl: 0597.65080] [Google Scholar]
- L. GASTALDI, R. H. NOCHETTO, On L∞-accuracy of mixed finite element methods for second order elliptic problems, Mat. Api. Comput., 7 (1988), pp. 13-39. [MR: 965675] [Zbl: 0677.65104] [Google Scholar]
- C. JOHNSON, V. THOMEE, Error estimates for some mixed finite element methods for parabolic type problems, R.A.I.R.O. Anal. Numér., 15, 1 (1981), pp. 41-78. [EuDML: 193370] [MR: 610597] [Zbl: 0476.65074] [Google Scholar]
- F. NATTERER, Über die punktweise konvergenz finiter Elemente, Numer. Math, 25, 1 (1975), pp. 67-78. [EuDML: 132361] [MR: 474884] [Zbl: 0331.65073] [Google Scholar]
- J. NEDELEC, Mixed finite elements in R3, Numer. Math., 35 (1980), pp. 315-341. [EuDML: 186293] [MR: 592160] [Zbl: 0419.65069] [Google Scholar]
- J. A. NITSCHE, L∞-convergence of finite element approximations Mathematical aspects of the Finite Element Methods, Lectures Notes in Math. N. 606, Springer-Verlag, New York, 1977, pp. 261-274. [MR: 488848] [Zbl: 0362.65088] [Google Scholar]
- J. A. NITSCHE, Schauder estimates for finite element approximations on second order elliptic boundary value problems. Proceedings of the Special Year in Numerical Analysis, Lectures Notes N. 20, Univ. of Maryland, Babuska, Liu, Osborn eds., 1981, pp. 290-343. [Google Scholar]
- R. RANNACHER, Zur L∞-Konvergenz linearer finiter elemente beim Dirichlet- Problem, Math. Z., 149 (1976), pp. 69-77. [EuDML: 172382] [MR: 488859] [Zbl: 0321.65055] [Google Scholar]
- R. RANNACHER, R. SCOTT, Some optimal error estimates for piecewise linear finite element approximations, Math. Comp., 38, 158 (1982), pp. 437-445. [MR: 645661] [Zbl: 0483.65007] [Google Scholar]
- P. A. RAVIART, J. M. THOMAS, A mixed finite element method for second order elliptic problems, Mathematical Aspects of the Finite Element Methods, Lecture Notes in Math. N. 606, Springer-Verlag, New York, 1977, pp. 292-315. [MR: 483555] [Zbl: 0362.65089] [Google Scholar]
- R. SCHOLZ, L∞-convergence of saddle-point approximations for second order problems, R.A.I.R.O. Anal. Numér., 11, 2 (1977), pp. 209-216. [EuDML: 193297] [MR: 448942] [Zbl: 0356.35026] [Google Scholar]
- R. SCHOLZ, Optimal L∞-estimates for a mixed finite element method for elliptic and parabolic problems, Calcolo, 20 (1983), pp. 355-377. [MR: 761790] [Zbl: 0571.65092] [Google Scholar]
- R. SCHOLZ, A remark on the rate of convergence for a mixed finite element method for second order problems, Numer. Funct. Anal. Optim, 4 (3) (1981-1982), pp. 269-277. [MR: 665363] [Zbl: 0481.65066] [Google Scholar]
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