no. 2
Element-oriented and edge-oriented local error estimators for nonconforming finite element methods
ESAIM: Modélisation mathématique et analyse numérique, Tome 30 (1996) no. 2, pp. 237-263. 
@article{M2AN_1996__30_2_237_0,
     author = {Hoppe, Ronald H. W. and Wohlmuth, Barbara},
     title = {Element-oriented and edge-oriented local error estimators for nonconforming finite element methods},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {237--263},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {30},
     number = {2},
     year = {1996},
     mrnumber = {1382112},
     zbl = {0843.65075},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1996__30_2_237_0/}
}
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Hoppe, Ronald H. W.; Wohlmuth, Barbara. Element-oriented and edge-oriented local error estimators for nonconforming finite element methods. ESAIM: Modélisation mathématique et analyse numérique, Tome 30 (1996) no. 2, pp. 237-263. http://www.numdam.org/item/M2AN_1996__30_2_237_0/

[1] D. N. Arnold and F. Brezzi, 1985, Mixed and nonconforming finite element methods : implementation, post-processing and error estimates, Math. Modelling Numer. Anal., 19, pp.7-35. | Numdam | MR | Zbl

[2] R. E. Bank, 1990, PLTMG - A software package for solving elliptic partial differential equations, User's Guide 6.0., SIAM, Philadelphia. | MR | Zbl

[3] R. E. Bank, A. H. Sherman and A. Weiser, 1983, Refinement algorithm and data structures for regular local mesh refinement, Scientific Computing, R. Stepleman et al. (eds.), Amsterdam, IMACS North-Holland, pp. 3-17. | MR

[4] R. E. Bank and A. Weiser, 1985, Some posteriori error estimators for elliptic partial differential equations. Math. Comp., 44, pp. 283-301. | MR | Zbl

[5] F. Bornemann, 1991, A sharpened condition number estimate for the BPX preconditioner of elliptic finite element problems on highly nonuniform triangulations, Konrad-Zese-Zentruman Berlin, Prepint SC 91-9.

[6] J. H. Bramble, J. E. Pasciak, J. Xu, 1990, Parallel multilevel preconditioners. Math. Comp., 55, pp. 1-22. | MR | Zbl

[7] F. Brezzi and M. Fortin, 1991, Mixed and hybrid finite element methods, Springer, Berlin-Heidelberg-New York. | MR | Zbl

[8] P. G. Clarlet, 1978, The finite element method for elliptic problems, North-Holland, Amsterdam. | MR | Zbl

[9] P. Deuflhard, P. Leinen and H. Yserentant, 1989, Concepts of an adaptive hierarchical finite element code, IMPACT comut. Sci. Engrg., 1, pp. 3-35. | Zbl

[10] P. Oswald, 1991, On a BPX-preconditioner for PI elements, Prepint, FSU Jena. | Zbl

[11] B. Szabó and I. Babu&Amp;#0160;Ka, 1991, Finite element analysis, John Wiley & Sons, New York.

[12] B. Wohlmuth and R. H. W. Hoppe, 1994, Multilevel approaches to nonconforming finite element discretizations of linear second order elliptic boundary value problems, to appear in Journal of Computation and Information, 4, pp. 73-86.

[13] J. Xu, 1989, Theory of multilevel methods, Department of Mathematics Pennstate, Report No. AM 48.

[14] H. Yserentant, 1990, Two preconditioners based on the multilevel splitting of finite element spaces, Numer. Math, 58, pp. 163-184. | MR | Zbl