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A variational method for finite element stress recovery and error estimationA variational method for obtaining smoothed stresses from a finite element derived nonsmooth stress field is presented. The method is based on minimizing a functional involving discrete least-squares error plus a penalty constraint that ensures smoothness of the stress field. An equivalent accuracy criterion is developed for the smoothing analysis which results in a C sup 1-continuous smoothed stress field possessing the same order of accuracy as that found at the superconvergent optimal stress points of the original finite element analysis. Application of the smoothing analysis to residual error estimation is also demonstrated.
Document ID
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Tessler, A.
(NASA Langley Research Center Hampton, VA, United States)
Riggs, H. R.
(Univ. of Hawaii at Manoa Honolulu, United States)
Macy, S. C.
(Lockheed Engineering and Sciences Co. Hampton, VA, United States)
Date Acquired
August 16, 2013
Publication Date
January 1, 1993
Publication Information
Publication: In: AIAA(ASME)ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 34th and AIAA/ASME Adaptive Structures Forum, La Jolla, CA, Apr. 19-22, 1993, Technical Papers. Pt. 2 (A93-33876 1
Publisher: American Institute of Aeronautics and Astronautics
Subject Category
Numerical Analysis
Report/Patent Number
AIAA PAPER 93-1384
Accession Number
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