Free Access
Volume 27, Number 1, 1993
Page(s) 9 - 34
Published online 31 January 2017
  1. T. ARBOGAST, A new formulation of mixed finite element methods for second order elliptic problems (to appear). [Zbl: 1248.65119]
  2. D. N. ARNOLD and F. BREZZI, Mixed and nonconforming finite element methods : implementation postprocessing and error estimates, RAIRO Model. Math. Anal Numér., 19 (1985), pp 7-32. [EuDML: 193443] [MR: 813687] [Zbl: 0567.65078]
  3. F. BREZZI, J. DOUGLAS Jr and L. DONATELLA 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]
  4. Z. CHEN, On the relationship between mixed and Galerkin finite element methods, Ph. D. thesis, Purdue University, West Lafayette, Indiana, August (1991).
  5. F. BREZZI and M. FORTIN, Hybrid and Mixed Finite Element Methods, to appear. [Zbl: 0788.73002]
  6. P. CIARLET, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, 1978. [MR: 520174] [Zbl: 0383.65058]
  7. J. DOUGLAS Jr and J. E. ROBERTS, Global estimates for mixed methods for second order elliptic problems, Math. Comp., 45 (1985), pp 39-52. [MR: 771029] [Zbl: 0624.65109]
  8. R. FALK and J. OSBORN, Error estimates for mixed methods, RAIRO, Model. Math. Anal. Numér., 14 (1980), pp 249-277. [EuDML: 193361] [MR: 592753] [Zbl: 0467.65062]
  9. M. FORTIN and M. SOULIE, A non-conforming piecewise quadratic finite element on triangles, Internat. J. Numer. Methods Engrg., 19 (1983), pp 505-520. [MR: 702056] [Zbl: 0514.73068]
  10. B. X. FRAEIJS DE VEUBEKE, Displacement and equilibrium models in the finite element method, in Stress Analysis, O. C. Zienkiewicz and G. Hohste (eds.), John Wiley, New York, 1965. [Zbl: 0359.73007]
  11. L. DONATELLA MARINI, An inexpensive method for the evaluation of the solution of the lowest order Raviart-Thomas mixed method, SIAM J. Numer. Anal., 22 (1985), pp 493-496. [MR: 787572] [Zbl: 0573.65082]
  12. L. DONATELLA MARINI and P. PIETRA, An abstract theory for mixed approximations of second order elliptic problems, Mat. Apl. Comput., 8 (1989), pp 219-239. [MR: 1067287] [Zbl: 0711.65091]
  13. P. A. RAVIART and J. M. THOMAS, A mixed finite element method for second order elliptic problems, in Mathematical Aspects of the Finite Element Method, Lecture Notes in Math. 606, Springer-Verlag, Berlin and New York (1977), pp 292-315. [MR: 483555] [Zbl: 0362.65089]

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