ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 67, 1 (1998)
pp. 159-179

ADAPTIVE MIXED HYBRID AND MACRO-HYBRID FINITE ELEMENT METHODS
R. H. W. HOPPE and B. I. WOHLMUTH

Abstract. 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.

AMS subject classification. 65N15, 65N30, 65N50, 65N55
Keywords. Mixed hybrid finite element methods, domain decomposition on nonmatching grids, mortar finite elements, a posteriori error estimators, local adaptive grid refinement

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Acta Mathematica Universitatis Comenianae
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Comenius University
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