Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 19 (1985) no. 1, p. 7-32
@article{M2AN_1985__19_1_7_0,
     author = {Arnold, D. N. and Brezzi, F.},
     title = {Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {Dunod},
     volume = {19},
     number = {1},
     year = {1985},
     pages = {7-32},
     zbl = {0567.65078},
     mrnumber = {813687},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1985__19_1_7_0}
}
Arnold, D. N.; Brezzi, F. Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 19 (1985) no. 1, pp. 7-32. http://www.numdam.org/item/M2AN_1985__19_1_7_0/

[1] I Babuska and J E Osborn, Generalized finite element methods their performance and their relation to mixed methods, SIAM J Numer Anal 20 (1983), 510-536 | MR 701094 | Zbl 0528.65046

[2] I Babuska, J Osborn and J Pitkaranta, Analysis of mixed methods using mesh dependent norms, Math Comput 35 (1980), 1039-1062 | MR 583486 | Zbl 0472.65083

[3] A Bensousson, J L Lions, G Papanicolau, Asymptotic Analysis of Periodic Structures, North-Holland, Amsterdam, 1978 | MR 503330 | Zbl 0404.35001

[4] F Brezzi and P A Raviart, Mixed finite element methods for 4th order elliptic equations, in Proc of the Royal Irish Academy Conference on Numerical Analysis, Academic Press, London, 1977 | MR 657975 | Zbl 0434.65085

[5] P G Ciarlet, The Finite Element Method for Elliptic Equations, North-Holland, Amsterdam, 1978 | MR 520174

[6] J Douglas and J E Roberts, Global estimates for mixed methods for second order elliptics, to appear in Math Comput | Zbl 0624.65109

[7] R S Falk and J E Osborn, Error estimates for mixed methods, R A I R O Anal numer 14 (1980), 309-324 | Numdam | MR 592753 | Zbl 0467.65062

[8] B Fraejis De Veubeke, Displacement and equilibrium models in the finite element method, in Stress Analysis, O C Zienkiewicz and G Holister, eds , Wiley, New York, 1965

[9] K Hellan, Analysis of elastic plates in flexure by a simplified finite element method, Acta Polytechnica Scandinavica, Ci 46, Trondheim, 1967 | Zbl 0237.73046

[10] L Herrmann, Finite element bending analysis for plates, J Eng Mech Div ASCE, a 3, EM5 (1967), 49-83

[11] P Lascaux and P Lesaint, Some nonconforming finite elements for the plate bending problem, R A I R O Anal numer 9 (1975), 9-53 | Numdam | MR 423968 | Zbl 0319.73042

[12] C Johnson, On the convergence of a mixed finite element method for plate bending problems, Numer Math 21 (1973), 43-62 | MR 388807 | Zbl 0264.65070

[13] L S D Morley, The triangular equilibrium element in the solution of plate bending problems, Aero Quart 19 (1968), 149-169

[14] R Rannacher, Nonconforming finite element methods for eigenvalue problems in linear plate theory, Numer Math 33 (1979), 23-42 | MR 545740 | Zbl 0394.65035

[15] R Rannacher, On nonconforming and mixed finite elements for plate bending problems The linear case R A I R O Anal numer 13 (1979), 369-387 | Numdam | MR 555385 | Zbl 0425.35042

[16] 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 Mathematics 606, Springer-Verlag, Berlin, 1977 | MR 483555 | Zbl 0362.65089