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DOI: 10.23952/cot.2026.42
Received December 16, 2024; Accepted December 20, 2025; Published online May 30, 2026
Abstract. Interval analysis is often associated with a large overestimation. In this study, we provide a novel formulation that avoids overestimation provided that information is available on full dependence between some of the variables. In order to illustrate the efficacy of the suggested method, we solve an uncertain continuous beam problem using a finite element method in conjunction with a special modeling of dependency via parameterization by employing a linear representation of each uncertain interval. Two characteristic sets of parameters may be subjected to uncertainty, namely the geometric characteristics, specifically the width and the length of the cross sectional area, as well as the material property (Young’s modulus). The results obtained with the parameterization approach are compared with other methods. The problem of Chen and Yang is revisited and compared within two interval analyses.
How to Cite this Article:
Y. Miglis, I. Elishakoff, F. Elettro, Interval finite element method for uncertain structures with incorporation of dependency information, Commun. Optim. Theory 2026 (2026) 42.