ADAPTIVE MIXED HYBRID AND MACRO-HYBRID FINITE ELEMENT METHODS
Acta mathematica Universitatis Comenianae, Tome 67 (1998) no. 1
R. H. W. Hoppe; B. I. Wohlmuth. ADAPTIVE MIXED HYBRID AND MACRO-HYBRID FINITE ELEMENT METHODS. Acta mathematica Universitatis Comenianae, Tome 67 (1998) no. 1. http://geodesic.mathdoc.fr/item/AMUC_1998_67_1_a9/
@article{AMUC_1998_67_1_a9,
     author = {R. H. W. Hoppe and B. I. Wohlmuth},
     title = {ADAPTIVE {MIXED} {HYBRID} {AND} {MACRO-HYBRID} {FINITE} {ELEMENT} {METHODS}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1998},
     volume = {67},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1998_67_1_a9/}
}
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In this paper, we consider efficient multilevel based iterative solvers and efficient and reliable a posteriori error estimators for mixed hybrid and macro-hybrid finite element discretizations of elliptic boundary value problems. We give an overview concerning the state-of-the-art techniques for these nonconforming approaches and illustrate the performance of the adaptivity concepts realized by some selected numerical examples.