期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 200, 期 5-8, 页码 850-866出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2010.10.009
关键词
Model order reduction (MOR); Proper orthogonal decomposition (POD); Newton/Krylov solver; Projected conjugate gradient; Hyperreduction; Damage propagation
资金
- Royal Academy of Engineering
- Leverhulme Trust
- EPSRC [EP/G069352/1, EP/G042705/1]
- Engineering and Physical Sciences Research Council [EP/G042705/1] Funding Source: researchfish
This article describes a bridge between POD-based model order reduction techniques and the classical Newton/Krylov solvers. This bridge is used to derive an efficient algorithm to correct, on-the-fly, the reduced order modelling of highly nonlinear problems undergoing strong topological changes. Damage initiation problems tackled via a corrected hyperreduction method are used as an example. It is shown that the relevancy of reduced order model can be significantly improved with reasonable additional costs when using this algorithm, even when strong topological changes are involved. Crown Copyright (C) 2010 Published by Elsevier B.V. All rights reserved.
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