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The developments rely on the Constitutive Relation Error (CRE), and the construction of separate reduced order models for the primal variable (displacement) and flux (stress) fields.
In that framework, this paper proposes a new updating technique for acoustic simulations, which is based on the constitutive relation error (CRE) proposed by Ladevèze in structural dynamics.
The updating technique used in this paper is based on recent works dealing with the constitutive relation error (CRE) method applied to acoustics.
Herein, three model updating techniques are considered involving different type of regularization: classical Tikhonov regularization, constitutive relation error based updating method and Bayesian approach.
The constitutive relation error updating method is used for the identification of the location and the size of multi-cracks in a simply supported beam.
Among the indirect or parametric methods available, one is based on the "mechanical" concept of constitutive relation error estimator introduced in order to quantify the quality of finite element analyses.
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It has been shown that the relation errors of classical FD solutions are far larger than those of reduced-order solutions obtained from the POD-based reduced-order FD extrapolating model.
From the grow trends of relation errors of the classical FD solutions, in the classical FD scheme with fully second-order accuracy will appear no convergence after some computing steps, while the error accumulation of the POD-based reduced-order FD extrapolating model is very slow such that it can continuously simulate the development of the fluid flow.
It took until 2002 for the company, by then called Bank One, to eliminate the fee and to acknowledge that it had been a public relations error.
It may well have been impractical for the union leadership to declare the strike, and it certainly seems to have been a public relations error to begin the strike in the middle of the holiday shopping season.
Had ESPN quietly accepted the collaboration ground rules with "Frontline" and told the N.F.L. that it would be a public relations error to pull out, many people might not have been alerted to the documentary.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com