00-7   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Carsten Carstensen, Kerstin Weinberg:

Adaptive Mixed Finite Element Method for Reißner-Mindlin Plate

Mixed finite element methods are designed to overcome shear locking phenomena observed in the numerical treatment of Reißner-Mindlin plate models. In order to improve the approximation behaviour of stable finite element discretisations, automatic adaptive mesh-refining algorithms are an important tool in practice. In this paper, a reliable robust residual-based a posteriori error estimate is derived. The localised error indicators suggest an adaptive algorithm for automatic mesh refinement. Numerical examples prove the new scheme efficient.

Mathematics Subject Classification (1991): 65 N 30

Keywords: mixed finite element methods, Rei\ss ner Mindlin plate, shear locking, reliability, a~posteriori error estimates, adaptive algorithm

Mail an Jens Burmeister
[Thu Feb 19 18:56:35 2009]
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