P. Ladeveze et P. Rougeot, NEW ADVANCES ON A-POSTERIORI ERROR ON CONSTITUTIVE RELATION IN FE ANALYSIS, Computer methods in applied mechanics and engineering, 150(1-4), 1997, pp. 239-249
This paper deals with error estimators based on residuals on the const
itutive relation which have been developed for the past 20 years at Ca
chan. Especially in the case of elasticity, these error estimators can
become poor in situations where the material and the mesh are strongl
y anisotropic. The crucial point herein is the construction of equilib
rated stress fields from the computed finite element solution. Therefo
re, in this paper, the approach and in particular this last point are
re-examined. Several important modifications are introduced in the con
cepts and basic techniques. Hence, a new generation of error estimator
s which seem to be extremely robust upon initial applications has been
generated.