A domain decomposition strategy for mCRE-based model updating in dynamics

In structural dynamics, the modified constitutive relation error is a widely used functional for model updating. The method involves a two-step iterative process to minimize the functional: first, regions with high modeling errors are localized, then their associated parameters are updated. The localization step requires solving large linear systems at each iteration, which makes the method less suitable for industrial models. In this work, a domain decomposition formulation is proposed. It makes the method more flexible, as subdomains can use different models which are independently modified during the updating algorithm without any additional cost. Moreover, this approach is very efficient numerically as it benefits from the same advantages as domain decomposition methods. In its standard form, it lacks a coarse problem which seems problematic; this is however addressed by using a multi-preconditioned solver such as MPGMRES. The performance of the proposed approach is illustrated by means of academic and industrial examples, with practical implementation in a commercial software. & COPY; 2023 Elsevier B.V. All rights reserved.

Automated summary

The modified constitutive relation error is a commonly used functional in structural dynamics for model updating. It involves a two-step iterative process to minimize the functional by localizing regions with high modeling errors and updating their associated parameters. The proposed domain decomposition formulation makes the method more flexible, efficient, and suitable for industrial models.