Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 200, Issue 5-8, Pages 850-866Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2010.10.009
Keywords
Model order reduction (MOR); Proper orthogonal decomposition (POD); Newton/Krylov solver; Projected conjugate gradient; Hyperreduction; Damage propagation
Funding
- 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
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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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