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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 21
Edited by: M. Papadrakakis and B.H.V. Topping
Paper III.2

Continuous Versus Wireframe Variational Smoothing Methods for Finite Element Stress Recovery

H.R. Riggs# and A. Tessler*

#University of Hawaii at Manoa, Honolulu, United States of America
*NASA Langley Research Center, Hampton, Virginia, United States of America

Full Bibliographic Reference for this paper
H.R. Riggs, A. Tessler, "Continuous Versus Wireframe Variational Smoothing Methods for Finite Element Stress Recovery", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Post and Preprocessing for Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 137-144, 1994. doi:10.4203/ccp.21.3.2
A superconvergent recovery (smoothing) procedure for finite element stresses is presented and applied to two-dimensional stress fields. The procedure is based on a variational principle involving discrete least-squares with a penalty constraint. A "continuous" formulation and a "wireframe" formulation of the principle are discussed and numerical results are compared. Both formulations produce superconvergent stress fields of higher accuracy than the underlying finite element stress field. Although a "smoothing" analysis is required, results indicate that two "coarse" mesh analyses (finite element and smoothing) produce the same accuracy as a single, fine mesh finite element analysis. The procedure is unique in that the smoothed stress field is (optionally) C1 continuous.

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