Journal
COMPUTERS & STRUCTURES
Volume 80, Issue 27-30, Pages 2027-2034Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0045-7949(02)00260-2
Keywords
error estimator; adaptivity; recovery technique
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A local residual error estimator based on the least-square residuals of the balance equation, constitutive relation and irrotationality condition is presented to enable adaptive finite element analyses of Poisson's problems. The efficiency of the residual error indicator and the quality of the L-2 error indicator are investigated in problems with sharp and relatively sharp concentration of gradients. Both error estimators are highly dependent on the accuracy of the recovered or post-processed derivatives. Two types of post-processing are adopted: the L-2 projection and a local macroelement technique. In the proposed macroelement post-processing technique, the derivatives are recovered by solving local variational problems involving the residuals of the balance equation irrotationality condition and constitutive relation at special superconvergence points. (C) 2002 Civil-Comp Ltd. and Elsevier Science Ltd. All rights reserved.
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