Multi-field decomposed hyper-reduced order modeling of damage-plasticity simulations

Fuente: arXiv
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Main Authors: Kehls, Jannick, Ritzert, Stephan, Breuer, Lars, Zhang, Qinghua, Reese, Stefanie, Brepols, Tim
Format: Preprint
Published: 2025
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author Kehls, Jannick
Ritzert, Stephan
Breuer, Lars
Zhang, Qinghua
Reese, Stefanie
Brepols, Tim
author_facet Kehls, Jannick
Ritzert, Stephan
Breuer, Lars
Zhang, Qinghua
Reese, Stefanie
Brepols, Tim
contents This paper presents a multi-field decomposed approach for hyper-reduced order modeling to overcome the limitations of traditional model reduction techniques for gradient-extended damage-plasticity simulations. The discrete empirical interpolation method (DEIM) and the energy-conserving sampling and weighting method (ECSW) are extended to account for the multi-field nature of the problem. Both methods yield stable reduced order simulations, while significantly reducing the computational cost compared to full-order simulations. Two numerical examples are presented to demonstrate the performance and limitations of the proposed approaches. The decomposed ECSW method has overall higher accuracy and lower computational cost than the decomposed DEIM method.
format Preprint
id arxiv_https___arxiv_org_abs_2508_19957
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Multi-field decomposed hyper-reduced order modeling of damage-plasticity simulations
Kehls, Jannick
Ritzert, Stephan
Breuer, Lars
Zhang, Qinghua
Reese, Stefanie
Brepols, Tim
Computational Engineering, Finance, and Science
This paper presents a multi-field decomposed approach for hyper-reduced order modeling to overcome the limitations of traditional model reduction techniques for gradient-extended damage-plasticity simulations. The discrete empirical interpolation method (DEIM) and the energy-conserving sampling and weighting method (ECSW) are extended to account for the multi-field nature of the problem. Both methods yield stable reduced order simulations, while significantly reducing the computational cost compared to full-order simulations. Two numerical examples are presented to demonstrate the performance and limitations of the proposed approaches. The decomposed ECSW method has overall higher accuracy and lower computational cost than the decomposed DEIM method.
title Multi-field decomposed hyper-reduced order modeling of damage-plasticity simulations
topic Computational Engineering, Finance, and Science
url https://arxiv.org/abs/2508.19957