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An adaptive non‐conforming finite‐element method for Reissner–Mindlin plates
Author(s) -
Carstensen Carsten,
Weinberg Kerstin
Publication year - 2003
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.645
Subject(s) - finite element method , a priori and a posteriori , convergence (economics) , mathematics , adaptive mesh refinement , mixed finite element method , mathematical optimization , extended finite element method , algorithm , computer science , structural engineering , engineering , computational science , philosophy , epistemology , economics , economic growth
Adaptive algorithms are important tools for efficient finite‐element mesh design. In this paper, an error controlled adaptive mesh‐refining algorithm is proposed for a non‐conforming low‐order finite‐element method for the Reissner–Mindlin plate model. The algorithm is controlled by a reliable and efficient residual‐based a posteriori error estimate, which is robust with respect to the plate's thickness. Numerical evidence for this and the efficiency of the new algorithm is provided in the sense that non‐optimal convergence rates are optimally improved in our numerical experiments. Copyright © 2003 John Wiley & Sons, Ltd.