@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: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {30}, year = {1996}, pages = {237-263}, mrnumber = {1382112}, zbl = {0843.65075}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_1996__30_2_237_0} }
Hoppe, Ronald H. W.; Wohlmuth, Barbara. Element-oriented and edge-oriented local error estimators for nonconforming finite element methods. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 30 (1996) pp. 237-263. http://gdmltest.u-ga.fr/item/M2AN_1996__30_2_237_0/
[1] Mixed and nonconforming finite element methods : implementation, post-processing and error estimates, Math. Modelling Numer. Anal., 19, pp.7-35. | Numdam | MR 813687 | Zbl 0567.65078
and , 1985,[2] PLTMG - A software package for solving elliptic partial differential equations, User's Guide 6.0., SIAM, Philadelphia. | MR 1052151 | Zbl 0717.68001
, 1990,[3] 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 751598
, and , 1983,[4] Some posteriori error estimators for elliptic partial differential equations. Math. Comp., 44, pp. 283-301. | MR 777265 | Zbl 0569.65079
and , 1985,[5] 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.
, 1991,[6] Parallel multilevel preconditioners. Math. Comp., 55, pp. 1-22. | MR 1023042 | Zbl 0703.65076
, , , 1990,[7] Mixed and hybrid finite element methods, Springer, Berlin-Heidelberg-New York. | MR 1115205 | Zbl 0788.73002
and , 1991,[8] The finite element method for elliptic problems, North-Holland, Amsterdam. | MR 520174 | Zbl 0383.65058
, 1978,[9] Concepts of an adaptive hierarchical finite element code, IMPACT comut. Sci. Engrg., 1, pp. 3-35. | Zbl 0706.65111
, and , 1989,[10] On a BPX-preconditioner for PI elements, Prepint, FSU Jena. | Zbl 0787.65018
, 1991,[11] Finite element analysis, John Wiley & Sons, New York.
and , 1991,[12] 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.
and , 1994,[13] Theory of multilevel methods, Department of Mathematics Pennstate, Report No. AM 48.
, 1989,[14] Two preconditioners based on the multilevel splitting of finite element spaces, Numer. Math, 58, pp. 163-184. | MR 1069277 | Zbl 0708.65103
, 1990,